From a5e1f03e3041ac4b2aef8eaafd3487cf4240524b Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Wed, 5 Aug 2026 15:02:18 +0200 Subject: [PATCH] vault backup: 2026-08-05 15:02:18 --- .obsidian/workspace.json | 7 ++++--- .../Anhänge/Pasted image 20260805145524.png | Bin 0 -> 7267 bytes .../Anhänge/Pasted image 20260805145536.png | Bin 0 -> 8374 bytes .../Anhänge/Pasted image 20260805145615.png | Bin 0 -> 37481 bytes .../13. Quantum Physics/Quantum Physics.md | 18 ++++++++++++++++++ 5 files changed, 22 insertions(+), 3 deletions(-) create mode 100644 SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145524.png create mode 100644 SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145536.png create mode 100644 SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145615.png diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index a9d5af5..f75a88b 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -218,6 +218,10 @@ }, "active": "25f5b25d5eca7203", "lastOpenFiles": [ + "SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145615.png", + "SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145536.png", + "SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145524.png", + "SS2026/Quantum Computing/13. Quantum Physics/Anhänge", "SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md", "SS2026/Quantum Computing/Anhänge/Introduction-to-Quantum-Computing.pdf", "SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md", @@ -231,8 +235,6 @@ "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805103706.png", "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805103650.png", "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102717.png", - "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102659.png", - "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805102605.png", "SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge", "SS2026/Quantum Computing/12. Grover's Algorithm", "SS2026/Klausurplan.canvas", @@ -245,7 +247,6 @@ "SS2026/Quantum Computing/9. Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md", "SS2026/Quantum Computing/9. Bernstein-Vazirani/Anhänge", "SS2026/Quantum Computing/8. Ket Notation/Ket Notation.md", - "SS2026/Quantum Computing/9. Bernstein-Vazirani", "SS2026/Quantum Computing/7. Quantum Circuits/Quantum Circuits.md", "SS2026/Quantum Computing/4. Observing and measuring/Observing probabilistic and measuring quantum systems.md", "SS2026/Quantum Computing/5. Partial observing and measuring/Partial observing and measuring systems.md", diff --git a/SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145524.png b/SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145524.png new file mode 100644 index 0000000000000000000000000000000000000000..877bd0b8d49ecce92ae331dcd0bc85e288e2c2aa GIT binary patch literal 7267 zcmdT|^C2lm_V}&VIO}uHK6|gd&$HKg*0a~ASK2CM_i66~001&IRV7^j09ONhA8`*C zYZr>>uoi&hrK_RgpY_BfLIB!4f zVVIdfirW5Q)*xeW9(X7pd0zmKe=>I)w?Ag^p;DBU(Bo<5Od*u^Q{3HG;ASQQ zhkIM8z$l@|2qxQ!i7rJ#GDdG1D6450j%3Dnm*OKvF` z2cDp@08^86;}4m63m9W@R3_(I`s@o3PvsMruh)C-QC{Q@ZV!*ln3R^Q{Yt0QP2w>8#gWu00b(&tA^CskHu%4vZk@U1xEv71xo#h_ zAq4ce$4ga}H*2S0;^fJJ&C7**V><_v zE*qeuZoL8isrpmI?_M8Q9vD!-5Ij)7xaZ^1FX-EQ8Mx?sK~N<( zcmy&vE*>Zf{Z5V+C~Q#}h<0Yo*lecc^=zs@#56RqI7dY`SWutuJXvb>N$hG9+5SMS zo1lHwN84s$wosMnqG2zPd{E)H@W{ya=2h`su5WE(=)6Iy%TYFaJLwDI>%wSLw~#j7 zJI5=gX8DCsV{d07dk51JWr6!_8bbT+sWWNKrsn%VK&F|JONs);DJMx@dIFIJJG5@~N3Lz*i*Ri0DH2ubmNo{pfj9}2C_Rgfe<|=zuO(=s(|{3m9eSNBg00-F&?D(r?k+4WJt-wOP~4!l}*rJ_OsEYdmCf0$wrK z2;Y3CYx%m|vN_K8-O!*aV?YLI%w7p^I1*IfQ-i1y{xyB`YxjZqouFpTaoG)R@ z5SrDOc-fxI=aM-bSPYaliA|icEA0zj*I^EH1r6r!73&e*VdwMQ!^yim0`Xnoy2=!39*0KZbJH zWTA2`17^RUinoI_4q6zOths4nzvMOA?ZLZ81GA}W?-^b;6(#bqB~-1UwU(jZJUvkmfrQX5R!`Tv6pb& z-{ygjMpmdoF9g^N=rpokR%wlI(kz@*)Eid>Z%>Qw*guK$wyN47DsYqy^`8QAdCgW~0odO}QUxs$*Z_>Z_tlpMi z&`C5D&YM^@9wz$8M#Bd4_Qd^VEsE+c6Lrfk3|+!Vh7yI+PEj$gFK-JAwqNvZW^e-9 zdiTRzzscp)@fs6To1cA~%3mILzsJsBr(TuelgyDHphP{k?BqzDeOxTBuKwzLT=bo) z{qE|3ECsPs4XvPvMJ-UTX!@CwOzw2G7`wDiZcUattK+xg!!7xyuCW0aEv_6P== z5)D%K>$Ccxv^S6H5m%GY9xXck9A=5qt$f7N`ejD8R_6gk@0eRRjifBIReh{nM$@x$ zt6WXnN8QjhRFp=iwb6i9d>ZpQDJ2P`62XLbbFKjHkXab(HPm0m)n3x`JU3&Pejp?s zh%om>DY*H7WP@$AEjUcqQ4}6xD!)@FIN=gk)>N4-U|KY8vheUIMLgBqj_JNq;-7?! zH!hi?%6{Ap)lO|FMu@JmctG9Dma*o7D{B0{sPX5m_VHrY2~Q_4v=aqP0JF6-f*mwR zQ~7p->P@}sc?Xn%B3aeiM<3i4#0whqt)Kjyo$YSsIgwFfbPqR+p zbP-hyjOWU%92w0!JVOa`Tzck@(uoGy#!Qy?JzK^C<|M>mu((0$3#M%2?hBvOSH;y& z#>q32j?*pvV#$&$!&f~FHX`qkQnu574_@=$_-xd2H@Do*Dr0bWtY;h3TbPsvR;Cj4 zvlhl;DEy#CJaEX(&(=B6)I6W@rKQ8aG3y8S=%M?T^j5TXJ{xvg*{#R?r{Cpap9HbP z!GvOt^?OOd~IK}?*Zr?Dh8lTW<4FJi>qvZT%kct~K6 zQ>tGF@We1OvyUO?-&uSIqz0DLXC|A{?Yy-9<~|`APo0zvW{tm{ml`qQxY+)X&Zf1J z7{{Z?dV2PWy}DFNM0iR?(Ia!5l&_ecSBS4C&X?4rQG)M<1OHqD+HyI!HjimNm|YfV z5wt~uoxx*oMzP`0wmj~{uI2ZsU%}(06Ekt?s61+l2ruTep3(Y8b-nyO=8}jKiloG~D8F7tN5 zyA?3I=^uaM8SLY}DxT$Sly5o)YKyV-%HwehCJ6K7D_%62JB zP|FB<(N5aEdzC`FTnPObVm}eOcxyVJw%Eb0Emqc*oqspLYf9QC@WgDF7({YW%4VK; zH(e?(XEQFHFi@DxPrMavSkgwa_q>g$Zn4ta$h;^X=4TY`xZ|^xa!(_vzZ8 zpmi-d8H1S<*?_xt8*ptJL-ghFaEZ#Ru|vD?oXh;XdGUhYF$t&d`Bc$ug>wtr{2>dv zZ^g(hkjn_*q`4GSVkXiZ*ZG_Tcdw>_p=-_~OAt*zV1*TYI7P%Us=3c04yyFh=N z3Jf&eI3)DZDbO{xMqjv{BS>2zd8Y6$mSSI^k%zAnmVNs=P8!69k`3y;T+?$Nd%&bg zLpzL}F}`<~IUtwhcGr;ltl>eIRL1+iRMWDwQ-(L}23J+87lSOH%!-`yp_8bt@sFC{ z2BXhAA}h!5=I+?sPqQXFYVth`nwOqKN5@hI_RJ}-_ftb8F5w3n3!i<-Y>b?%+P`R) z0Wblj%rhuF#TCO-Sz~|Z=#1Oj1*aF~Jkm9RQr_z^YC+a*UreH2?r8z{KP1;{2bTQf z&g*r+E?iMd&E&K0Ka~{ci5?@|^YWQbT(LJJY{C?e<9nziJ2BM`Zep^}VUt>S!&4U1 zpt?;CgTS0gyMv)GPAjkTP7OiYp;6NNAfvql(&MTEH&FrwXVbzEG!0$ykjtpV1Zt__ zOu?}%20k~SVE&T|{JWW}^;KP?^KV7CwNZ$n5xJI)k)GiWYcl24!F9U(qNS;~LTR~v zn6i775v3t&Hdk#9tJFfj|IH#he)r2V_tlpt$lq&wt4%g*HZ(2B9b_aVCzWYC6*~($ zu{nP5Mvv=;C_6DtlWiHvnZV_Chu$p&2sm|#HNK&5kZlbV&k9einVbh@5IL{g&8G^LPV&E!Y!;%x+%{RF zese$`kDirPytsQ~W&`9vuD%|SN+%3o>E5TrsFGg(xoqd!_?^BbSLdR!jPm{zsX{GSlpU`RzE*QPRYFZ}@v);v5k!fU#Wi z?*XzC@1JfQK<8V9|7C}?n@Zac`Ojk8SH`+YaYzAx#?M*cY6prjH^IH2>`Begac><97-5qfxvEXTfn zo3!q|VmGrt!`b&(4jDmGRj`S}umbCt<4lMSwuQA?+eWR-z-!75KE|OjpQY_RoO^$R zC6)?LESzP4-M-_;OiCBw?AgJY{WN8`#fI958HW(eAc>SZTsLhCLWebo4_MBx(1BIA{^{7hQy?U^a7F-AoFl6M53#M zdILHW90SP^qjg7#I%Hx7V?jd8pjpno0OBoZl5{qKJI%sv)ct@-^5x6PGiufs_8xs7 zk;Ran5D7rIqy~GYxM!?Z80W8)mX}xFoKZI&Dt+(xL-*J&ej47EH+lm z&yZOAocaHa{Z=)sz3!ydq1vA1?$1qpS9VsBbbtpKp`{>?Zl2lOXz>-(Y_|;eV!a>X z%8UY7wSNY`>ikj3_vnz5!X4NjY+C7Fzex9M_bPiYVEJ@{LAir+`tB983*ik77L;d5 ztCnTMw6doO!F1chO7ob>RG=PMiF+%X>Dt1K%$>N^M6ZX@V~kIIS8aKB@Cz4I6`Y;kVd7=+0`Xpy|~ ziI|oEe5J;A1jmUgWU~p#oi(T@L9Xo7*%ZY1{3N_($1i3$JNBl=TPyYb^iugMKV0&kZh7`Cz4v{S#z!}OU{JxKvrWyJQxHUc`Zh=Z|_zuFiD!Q;o$@%7nfaOY{G0X+FA$IvG4z7hf)d+;^P z^gHpnz+HAQ6JXT>JCx^+9`Y$oAb1s-kYR@Ps}lE6C((W&DOfhRn=Dptbe|~`)&_O+b@8};B^Z7M z`A^^8xk6#b{ai5=9|6GFQAh5O>)m`-2KowVH&bulqpV^|1CntCjgw*4Oy&`EAK zaH4mQYCX~A8>ySf`-Go~u*+%=;S%oub9N`ghh%IQ*vM~d@Z(0=2@dI;n|~_H5YgeU zyYCQw#Cm?YtYgX|@A*so!QzlQm)OWMkaOOul1jz{9Zim7c_vLS`=$$Ugxv+61A0)p z6Y=@SG2~^s;8W%SS!W6s+PX)+aDl@3(9bVcT3{%V1-+8I0~!CW%k*ce9JkCkFd$tl z>h=`@-oSh8r>$@yGbx+fzt=s;-xaR+Lk9r;2KdG7NiyIrc~3(KMflz*+jIng&-M!V ze0>w00)s-XB0lI6pRW?^727G`{}PZtIYgZ6VuAXA^|r`P-_}s5Ph8wCJaQaMCw!g` z#uf_Tt2HF~n{)~S!r4Q=maa+ct@W-HE7>Xe=>@mp4|6{5C)%ZOp-;2!Q>k+xfLt^- zE*g+n0qx~xE5JE97Pm&NCYB@0v1$`{JIVE&K>C9TKevgT%?}~;j*MTPxRt&@H*OJ7 zjCsY0vM_Fl%r~P?8AzzsSP|=-G;MT2Gpsthm$t0uuqUKegxGLOUYth7V=9Y?VP1y6 z!tn1-`wiJ#`s%t2dJ1QAL)g}c#hcSmj4|^4N!7K6Aq9-Lr753YWnDKeM9P^)=6jx;ZZ1+ozz!|}%Aa7#iM|zGU>!#-+_%8IquJ2xXrnf>eth*wq?XPqU zmV~c5SXOe^rs++Nm`2H^gS^II@4xZ-anp42VmE&eS)sc;fIW(xY#g^vP6YQ{&R)rl z!gfW5)csHa4$dXOtNh})Ta)m!44Rw>GrG5GBFC4OsD?R7g5%8F>R*8jH@~jmc&2AU zGR(X9>vp+i(`x-n^Lb6Hjg<-|>ri%sG;+0WlEHWJ1jjO4BlIh8EjCtr|qe z=ji!*HEK33P>-}Z{>q6)Di2gg3D9)%VbOLm(MeK~!!0>(euS{fV_@&UQ3=+A@7+cX zmF3jA&nF7j?z(@*jqUtooMV8BwvlwW8jI zpPlp1J#)TPPIH8eL{H0!ec6J@7{#uK%1|-ZSYiC?6;v;ZpUFHK(xK?be_$*aZi;1C zBa3cpe0{*5zsup_Ko-V@OFh9#hJP7PlDPl&izsf1cpY@H+|57^^PmL~oSdLrDBsF&bvg_h`=7UqsX|`(`dGZ{l*2?u0%-c@%`SCu0srBbitya( zXfFwXzZLdVS~R+w&p_sH#OV=Hc;Q5U|9DdlMAdoj0-{Kc7F5|d^5$7%vo{xW_jHpSsFkf!VVM!#^a5j>lyMD^U_05D7xQ zcmt(lAvwLLj-J|#F2n#q9#x5fHE)Y4X^(Tn#$k;CTmC+@6%Qb&fo<;v{d@wm_AN{y zezbfXc1Pv&-U%0gAfq6!nVhVSS&F8UY_qAQj-^R`zXaham3WW$Z~7&ldjmunBXhNi zTEvtTN?_+=vVd@Uth-ZluB60n2J2_hSv{vkSv^>FaAYeZAp!WC37;|Txz~V>RETLv zFg+WVA$9d^EZ?BSfDsZ3@FzG2bIB!L5LRgx>7_xskytoH*{;$uDLo>UG3 zj|HYTP*Vj1ihQ>JSb5^Ctf!2D(UeSdXOHt(CwQl2;f;Yoiuf;K4tiEOJ~mSLsGIv3 zd%p4UxA$_w(DZV0^6+-?^Z~uXf1JW92vAct`2adDRC3uIX&-#`cH&PEIqxT}r)qKPPnc=b*<%E0QrUB;Hh9U-f8MjM3(`De7Wfb# zyw0M8js|XRK-eNf-VxFAT9*xNCfp~!Npj>pJmUHtgmN%V)f9JrgG|*Zz18-|3VX>) zK1NIdc`WdseAZfHGt1Bzk}He2Zvtg$o66HnI*M>}xM%-15dzf0tde$`0=R6Ddv&tLx>C+tXT)5>QG5 z3Buj=(&hWa!{B!PFO6o#`U4-kS~NOyJl{l05IieTS)y`4eWY&vwH~aOrhP!4(b&xf z5N;KMczrvoVgopB@IBaJaVMk~Yy$On*&UCm6AOVM2Wz3CUl zcjg`M^DG7&i68g*@k{(Ky{vaQCfWMWitXZ9Fkej<8D*8tAG6&W{Dw+4e*A}QoSzKR zNzyE3M0+Nr7wn`I)F61t(O(s2|2)^??q9XhwDKlG_k)$M-Yg1jPQIg3bBRcumpLZ! zTtHYXCoRLy$r@Ikzo~)06F25vK7fEm7E5 zeE+N;I0Ez?^l)$gJiL>4++d@1%70$4+KFl9du<0SYxf4HfgHk!f3?CX@(>MfOr05cHVczBzQ!u*&0eu6$8l{1)C|vHGkrIbsl5V}` z5B7L2HFB=6mDAcG{@L#C(ZQSn88n_)Jv2cL>xY@O?a6qyvS_QSrr?9F zVuhXir{Y8Z26~ii1f)$(j^VF8XKMJ}Pig8IrXZ@qGZKDFCt;>mGuCTggZNXtUjb@_ z7Nrfkz576s^xms1;pqfsOSJqo<#SgKiR>Jdb|k!MtIg)yY2Whv zOlmsLa^}B@%&RL#q0a>eEWn)mjOrIEuVXIN4y1ciSS_FgKdICozbwBLBr|EKRZ+5hR+<(s+ z{G6s8zZbM|!w5_+^BX{{f(IG(Cd=NYM}iw*tdgXF2Cg<&n?FiN`4_-r1uz<=>C@_! zvUH|uWBFcdo>|7TY{btqXcxBH_9=DZ(^77aYS}bpymmk6Cy$|RtT~1tGZhFpF>s&g z?QG-9d|O)S*<%lp{I&{COY=+v_|$A65N|FbmJNcc@JOhN60TB0?RajJX-iwDDkPPy ziF(Z5UGe=~;$E(7!L_&IK1E$8UQ8OO7V|dv-{6iMz(?JCqe{~&Oy(f%7WL$o;nqBt z1n<>>Qwh8S+}bA7_uX87?k1ONazmok{9CB#F)z3mIx z{M{XRSG9Zr8kt;p=%-3pIP5-=Qr)hSTR$CQMj(5;va-?%%HxK{cJt`<18|dSJ<^w+ zdN%OE*}Yr#Qp%JKhJ0R>io&n&1!q=MRszI|5-7@e_=Vv;4{A$y|r;MH@wj=OrP8z*gH zxW1kxvcLZ4)Da+M|15eiI@+%P^JiK+m3e=I`Qrhd(Z8-1VF3Z}|=7)HheF z<=Jb1dToWr3%m;tjd(x6{dhPP5&fOw%Iki{7iq7GOj&7xatZFnQ+2$oT3U{os%t?y z9;Fsh$Mb2e2P$T=@v4@V_cIEzQ_)TolA;&Qnc9qUDKR7D$=QHY_csP$< zi8^p3+~14vE%SQWf#D zjR=ZUSXxqiW6?Q~wk#hSJKI6hSoB0H?v32@5^?UGTpILemIS!BSUM}?s%t>W72KNhzN_Fnv- zX|(|t6?-08Wz^0-P=009Iz5?i7qWV3rS#4~`+nbE82Z8il;+q)BkRZReH$JATdc`< zh`?kgHDDorio=QnE+52Q`ORSH-HQhz1EN^=V5uz`nVaa#u4q!o)^E-prH-C5k4j^PUJf{~hXBt?*scmNmhmaXB^fs6S+2_yb09RH}m=$$lKt8vWA!2{Jj!6rZN z^hd>?+CIHVhrAsQZ_v7m$C4ZL(gr9ZQ^@D-J~(l>N40`Ll;q!I`?Srtz&b6U-zkm;T)Jc@9Z*EbmGvZ5d@hbM7{O z->9J7@`BX*tg_F}clm0G9L9m7`Ng+n4Rx+JK+KArd5Z}QZcXfSVKYI%RG_o`r`hsS zalK$0vYnS{-`+x8UUigO9}=Tq9mef*Oyy*>dbLYrOi?iv?%045OP~N!S_W zF%SP-A5IlJ(vJtF>+xb-6fR%aGj9%S4)mlW-GE_zT>-e^0Ab(6`>jInPSGO9-|867 zfg^ZX?;~#uR5$(a8Z*+A7||uy(`QQ+4_*}Fp5(Oqj}I)7y#8B^xcre4q_3Za&D7pX(hQ6btD~){&qKb~StHh`3l?K&ApSce1(N)gSrFno zw%yfy*byDoHO&;sLTV;mcwgSTUO%&Z7?>UGOi6k;Xeed=7T>D`iC&3?l}0`lwd z*hQZH+KLS<-`h9XOdP4vD60W=gPd)Dbh8P^DIqR}HW|JmTSlM8HE*L0X3vA*O%4I= z|K_}E|LG45j=@Urf#4HaG<5Ed-P|t2NX_lq1IJ;vop-3+>~gDa-jrj}gPz;IUM)lh z9qi$*?#3iHa9DF5R(Ghg`0jG}tq|`{)6%Nxqrr zpiq`>WKnf*Dra>?2nYWj7q#!ZpC;E!bC5v=sZ7ov_cYciyv(mY(DLDvmRJY8ZZ)vE zHZ&_KuOS$K7uI}rU|`JhXUuMcOr8#KvRq#?oO|X4zolQwf(gx=Q61ys4z5@6_Rfrx zgj<@^kxMJTNJ33T`7`h9kew)5xoBnoL+-uzY;ucFO4UwC_<#^GZU|7`DGH!m_S0-o2r>Xno@pz<^N^#zD{ zUt$W@*o57_XgkhT7w&5*XQ@gWjs8A|DLv)#cIgC@t~f_}k0VoZ$+mV_MP}H}p6>

?}M^4P?o4UP5gDYIz-@ga148!@7<*rbj! z{-TEgZ-1F6PXKu4JHOF!n{ z{vy{h^KN}&{{+C(EX_MTL*$4R`~~L4wOB=?o$tT@0stXqsQAy9G~_v-HhjNw#|D2o z|0eql3{=CGU+`1sp+SEL7zP8&1Yg(xI4%94`1Qy!RrEIKbN{OQ=a@^E0My5Pj(OP0 zbMm}xPGQW;Y5b_Qx zFb0eRG`h>ui6J4K2i7YIRP6LOpUP)`f21OYe8n!{Q-SegXo4IV< z`WnVSZ{DwX&c3u3)Yc&e&u=qJJj{`g0*f`SJ7R`kh_0Tg-nZaq^!H0X>}uezOv43W z|D(u-@pOdUEf^NTwAGUH^s?{~j{|tU3-){}BXVH(kqU<3&j- zwk9aJXa{tz$VK~TR9=xv{`)L_Q|jC>VrY3{8FRqPO-|S-7(?DYuVZE5ZelA@=rUA% z$Z0!Phwpf}Yv^*^=GId)(&vZRYKuDJDxl*sA09TX%E{o-i!&FRZx;m{haTAv#C-pQ zh&J-pd;i==xCFuMTVMqEC%#A5dtifl-B60u*`DVrlcBH|Zs?GpMnjpL0MU6Lr z$Zt)Rj=)b=*&g04jT)VihTdj7&*QzAO%N6hz0k+ z%XaYUoho63LTL9WzLflx>ZPr|_$mjLR8~29j6@RirL8DMpSH>$w~lS0xA}}i(GFfQ zN2_(5vui#IX&uB=r%{d{KbOgA#(5=J`#LDfFCPmg0Q7yRGB0&i)c)SdCQX}YUuHpMpEn~fh{xjlt!?j!NvD{4C(Jf57Y$4Xo*V;4%Hrh<>^$baAx^Brx|W|JaT zUv(R0X^W)}5wxRr>{*6lG|Q>n0J~$8@mx1k{IzIy)E$E^Arp4$z6O)sQ4(P%Rgue$ zoqj@?`=I@C8T($s)S6WK6E{0-$u| z>DwjOfJCr02n%7-YNjVhY|1(KkX%H8SvAiz7xA*3w3a(scz)zip zcn$U@%2{h;p^U5@4TVXS#j7ZmJn)3QNjDWmcF{*v{_^9U00P(NvmWMG@m>{)-xH

Y{r4?gl0xO&pwHbhF2XKusboqT zdat9m0JEwcpD}X-_iq2CS9hE?^rN`Q>#N8!sKZPDsn0&r7BbaRkmOsrVB-qSRxgp*qerD1M& z2F2rTLvQ%*H1iecqLFR5=1OvN zlG8X;<-m|b4z|D!ki4YEUO$0NaH8&x00#l8_{tF=O*wv`Qj146WB!~iMJe(NR+e#k z@upV{uSdLg$P}L(c;bWTji)$*nOiRQR@?fU6hKAzy`3j2oC@2kK4;H4=H!>sQ)=rf zqYva2_y5|tWT14F@8Kg$xM*RZn{UD=e78&ljFweUNm-(&J=U*G2)wr7xv9M_-q zSNbm|F~oiXwbk?_>sa&aT}kkgkF>MSTihKyu|G}6O$VDX2^PJ)7>m4N0;W=XY|%&N zk+NMB7};Z0ZG6+t|Ao7Y$;j@|IcCsYrbnNO(v>trCYEKT>x=VMV+0Hq1S>s-={$YE z?_i%SNOxeweO*G(Lj}6k^y+CZg4vUar>0b2(_NH!-b$7mjtyv*?VdPX|PTScg7T;+hrn+ttc?i(U(?~+L}V- zU@`0Xq;~d)OQQ7-wGu>?udu}I);Z1u3~ak>eg!e&8aEQkb~_L~(bTXNYzEFqt@0(h z3={Je4pD}xKWj%|!B(#o10Z0@iqyLJ>*D8KDl1-gG6!OYT-d8@t?1$ItX)dZ^r8hUzj!E-nR4X_t zgNKL!lJK9?Gy)rUG%2e&7)j0xcQAhGzU1N5qd7MOPGP3^_9rZrhj#chHD>eBaU${! z>(sBz=*5D0?{2l~|6&I{KVz)Z_3y$?ST?~W)=!uvUOeng0`d2shyK=>RC;j&?uJz`uyB7^ z*iF2iG^B9~FcMY#)e=uOzE@jc&r`2Duh4cSIj+By!frPsH^Xq@wGErQPYd25PTc_w za*wZ%)@Y7WQjIb_<6Z2|YNI?7O;NV&=CJ!wu8#VfE5G(gkmQ92Yz6oOb2UX@h!%2R zP+buN+_H6Xkx+476T<(L!~YAL;DhRUj!yc#lasj>5r4%dxK<(R@n*$DPp~jY{UhP) z`N_pF#WR_HI5SzR+Cp-zA+%1mhUvutL+`9rrQi+d1!(1uHGP}yd@(XkIqcEtjsT~u*QyD^Q!1?_ZzGCpvp0s}x@EV& zZom@nk%OgtHb-r8O0ZabKgL#cQz+nVhxepa5fVn@3!gnl4E88R zAJO&xmT14;3_%-)t=s7zw3<_a7J;R|w949ghdr7e1(TFf#B8i3+y z1Y;Q#Ow3Xx7C*}*Y8k0v5P;HABAgP&4w(A7*!k{T9#CC@F-ZxWQZNsZ&e?I)RWvdM zxn)aJxviRjEkJX0!^Jzx~d#DJM&+-ni||6p}38H*Gnq*prLo(v;Kte#a>7kp^s{-eQh znaRnyXhGy77kutMrtPP~20E5nO9aog|{o)Vei`@l31 zW(6#s-t|+!LL==Dae;?WaY>sC^+z}=K}L=q3a1i&L#L`A6MR|Lxa-+g$UAfU)1EBu zTUBf`ZJxCju=FjH7T-~-U8xA+;y$qCY}qflk#-i|ZBcteA-JZCQ`AmA4$ucNcz!|^ z@mhB0d}$ubXFvnb$?h{uogT63(z5iC(~xgP4E+FA&|*I8Os=k`kXXt~T_R5~SpJCZ zKa+A%iM8kPFrmL;@gr|Wnw0R;D~v-Hi7rdmEdF$f%NvztxBb=Uw6u6MCEn_jCI!)Y zn=wO+opC~l`90<@@S_+mGZZ;`?^S62x&H?-czp%L!-lUfm>`jJXxg-_ErM-C=4khbVz| zRsT}crN%-9J*y-HGuQnsH`fe3|EFfJ3IYPP5Ir!gXTM`m(7Tp^qTC94-9S}1Fxt~X zAhSOh=IVi8!IjtXb7n@Zx)E<}b=GWVKwtQ5n}F9SYfD=n6xw9Ze8E>8!KlfLw^84s z@yiyYLEZEtpEd{uCE4FvHSFY0QPueAOHXW literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145615.png b/SS2026/Quantum Computing/13. Quantum Physics/Anhänge/Pasted image 20260805145615.png new file mode 100644 index 0000000000000000000000000000000000000000..3747f7a7a40774f41ab76fb989006fae5d4c4eb5 GIT binary patch literal 37481 zcmbTdbyS;CyY@*-TcEhRySrO)w?J?y-rx>FOR?haR$K$cgSWUtA-H>Sr&wXq_slov zo3&=nnl*o9W$h=A?A%+Py?@trM{24opuZ=1kAQ%HuB0dnKtOn{j)3s$9Qif;$U3gK z2>k1nJ3v7ip=N^Y0A6@wE2SodfKV5Y`egnVUPf_IG;l{i!07$=c{S)7f+-@Y9zJwFM3pb;UDZ@2hU(!Pw{*aphhHF z!=RcOK~$3hQ;e6y7@;gfM|uYkPtuY+B{|G>GY)f^RQju+OP2I|4!&DFfac7YV_3g1 zUDchNKG4@bwK9k@M^b;MqW5axY8SkDU%&vbJ^~salmEW}AiP6O_!ohXKVDTJ{wtFG zzZO47?`tNjG@TDqHK`c{kx8H+{Am4<+$JwaVT~otl$d;)?KM;BgiQP-+Fz>+v1tJ7 zqzxn^)4NAoKV2o&jXMhGe>m9XP#c!Br2IXt|9VxELzrSexTy?95Q~Lq6ZOZz!q${W z`dFjjRb;F3-EpR{nwG%WB~D;*O7D3p>xW(#p_^@72hd~}fb43tiOQh>3<&Fm?0o%} z>d{$zMEd?wOgcs%-A|laRC=qF1f+Mgd#~!HlO)y@*o0mGwAww0nKyvflp=OyVAq^Utg!yoIGcln}&x+PW_zpA6QBPZw)F>k@M->){IHH1kTv=ZX0LjvhMj4Z$N zifb0xCK=q0I@2@b+dwHSbKDX!x|OGL#A-M9<^A-o5{YLto=twlp@8YGGgv{=LC&NJ z=+p641zuF6%`=`H#jHD{VVDKUnzlB!#lU7^%c-fKAFb|T7N%?W#0;-Wu9_vp$mP*< zfX_K$zp{(g##w2JC%YBMH=K#JN0ObHl9EZ*F7I14=xHgDovVEVq!wi%(HPSI$&)Sn zwX^Eny;2}uEv}Ld^Ke%*2WoBj7%ucBdTvSkyCmo0ZP!TL_vvtk$sO&Jn5y*shWoc_ znIk*H2a4=|kf|wt{p3}+QHtvY3a(na*Xs&U@tiJWWWVy_Ub z`AXY*%+TNs(KC7cupNGm_PPZ)%aD9m{!t%2gfXJ$wn*1W zmK7LLc>S$-31oCHXJ9&y=(+c8DDHA3JRv}fZ6>Qr^TtKRN>f&{#8`HM?@tTqDB=eR7T8K+5p93moXKc`CZsKyf;_b z&m9_G?8Wbfq@t9$_F~pe4AzkW74KSoR!qgff=EAy&pQ^KmS1+nRL$J@ySBu{ryK0G zeH1dGRkmrayY=`>ku9s_WiYQ|B|k>%dvv$7d=eRr#px;QlgO(KE{NoRjVKQ`gg(+JDEbJ>gTKcAR;0C zv*T}!t$s118QxIQZ!x@2|5~(LCn4PHg+zC(Mj-rWH8~^n8>HblT&{j7T3^Pp;_MMZ z_DvpIP{%}ljFs;Pz*t`rC{1SG7k^e9Z!0p`WTZg`Q8;gVI z_iya}%{ue3?-K}Z*9yxw72^ZE_4nuXayu-wDdb!ESs8c{6W+8rqnMYs#KG21HHZoLwX2CVj4Uoe&?pr7r=cjhY;41W$YDP;uO3WZ-C;T&Lb$b`^Z?(8tagy zHnG%i-?(hOYXv9QCO5KlYw7b!J$nS)dC8>JQ~UIpt_Vs?%GCSf+P5GO0=tA%Imo%` zb4t}CV1)El&Dzh*U|J3Kd0n01S+Cv*BeJcvqnOft?msx#+*-6bAtXI<6vVoC_st~Dlq31veUwh39lz-Z*Oid`=Ah8m z0L?i;Ps;Hc!U$v!_xR7kqHg zQ?RT%0lW*xFbOSG3)LAsC+uXrgX@-uksli&hs~wwBbPpp{@<7*D?DF4xqCvzFV|$e zL*I1d(lf>~nBE<-$3bZOXP<(Nk1_{Sw!xB+cN4IUBverss_JM$SS;{2m@*!?xEs-}T_({qqdeeqX#| zi6dvPk0^L!NtrS6S%3mmwuU?}-h%A%$rKrq5c}G;57vetQQ>a)MRYJ^nR!?Y26OaY zp=s9Jzp+UXHWi)LPXV5(|ZN#qY zj?7EL1MZ&STAK}Xi)m4`l{)aZ^BqUl(+eko3(X`yv!}`oT?}-L$KrlQWd0KfiF~W! z{5iAWk%OgaAMRi1m|_!@bIPXpoOU&NJFCoinIEx5%#%r~R0jJDee-`y_^aut49Uyc%dXa<6#fcq zQEni<#IAMBn}Q7T`jyJr-A{*zKxWql1vuJAukVU62K!8GV%@1abs%h3oo8=UK|<_< zYGMhDWNM)1tBd%ciCMF1a#nnPN~T2>2(KSRN@vf~PXX^r-)&k5S!pNt!>ts7XzonqNe-8;X2*MGfG9B-C9bz3J{ zE{YBw6u2v&o+g@5qV!3N)-6H2HV$I~C`_tSni|@T8l=U{zWseLCoblS-KI!>s(+Ur z%Fico0Mv|etZ`q|l41v4qM608v^rKM6L+k+sqGL%e%{9SZC&Z8tc_~rc7D4T{@J$1 zw&^hO?5-fmy#6VvG@TDjf^-_F?jtjmQ{vhVSZlo@ml*uk7iui=J-gX}Edf7|lt(f| z&#UPL-}q#^ueL44(sXAQT`os21;ijae0k(NvyDrUgv12ny3dG75R z>B_*@z1bpHcUuRXjO6n1GDq^h7q9erYZGTQ-AK=|5BWit|A*mH#rkTq=S#Q68W}r?U%QO@rUN-WfNXJv@R!Ls3irlb zUWUink2bb^g9R1Q#`;O5n!#XlrlyJY^X|tfp=J{#_^uh|gmP;Jy#y7W=1Twt!#Cb` zKUw06j;s47z(*S1p>&RKOCum^467|A>^0(&JGD4aeM=S~lquv+dlf^o_7v!8wsC_5 z2uw*8xZV;YG%+TGP&`NU9Nv9y4DeMs%R&!%+(+3H={2@Z8rGQreIOI@pC=lNT|kyZ z3#|Ctm*BKnG65}V)2=}xDY?ye$vim_F?f5(q0fHsP?-|M9b8lATeK*q zv@=U!U@5}?2muaE4%;$!$u(EbxVO9X{;`pVytNVzujp#^Ym2FSoj2ng-i6-z?9%dq zqQ~{_N}=dCrbL~qzk8I45fC1&PzhgN8-nRtjvYsG7+ZI7l5wRT%~}sF2DuyT>DJYU z#2xs2`tD5 zy9$(`I~T?MX_Q|{J8`<~WGq=~&u&rM+6tl<8icCk{Mxy_UEq_Me&wJ2CAssK_FZCc zsA%nunMCj0g-r_L$7R$!W<-a(g@$DH<=>qk{Hr)Elbn2~?{(O5`i$QkpHCS2R$sCg zRNUe%(Gp2#hL-obS=18r!<_JNhd(mU9KJ(9_)&sG>*=9VpZ89)2B(T94*R_WWMGl= zGmGa*DX!VgVs%gRa-{9cy$dqCq0}!lB_w1elRhf9H(4;bzDPUyMa)~Jx@2`sNGmIY ziBhkG(cFjM*b1`9b$>Jgc4D1*Cuzji0K(=$wZDY3F>VNAdV^3( z;SE^p(r0vizk(*w`Wc9o;i1~`4ATZ!;Sf?3?h6v=(qQwH{~68Re3++25#fwSIQ#+L zgyCoZcwPF37?>yjC~4PW2H~VlDV?JXfeq+gZa`@)xl!B1`>~ab@-!V+Hu$Tg*q{TQ zSnZaWWGxL8UJR00W~l6icdNVDrw7%CcW6cm<4g(_XDr9atd8Ydjsk-|tKWPL$R^&C zwl&kC;4b(!yR28A4GX`koz>Zsv(B`2sz3I)@Vg+$`5W%bjYqof=)ShwY1az$LaGZN zg6~@SsR>ltx){FuptGNXADyjcXq47Ie!2Zw!BYNn%1k;CKy3lD~5+ zpZt^9g^Q-V92F+aWX2rv&t41w_xsyrmZTy<; z2*!B-?qzuH9dTlUdU$j{X9F^)I7hyCK9d=3AO=w$m4F3f<=<>`Rl0la<{3uj-MW_# zmk_zWMfiaPuj#e?>IQ1-F~6>JK>Sy4DOyt7Gv&p0;8Ad)oWvMoe$?TJP7+a2d7HA2 zgG+DHqQl&uXtI#0=r7GZ+}j20Q2P<|OX?sb62q=eTKFHV`wV;aK||+kZ2~(bHAr&J9|7@nvrw&|It}os|N(i$c77Aqr^7tK3A_y5Q!H;$y7$j?9%z zZ-xO+t=t4>#$pOrCZemdxRQpNj^#ee#N!=>ARyeq8FQXvoSO9;denEiwKDYL(yOml zex^idw;JWRO*v2iZ^Fpj)EbW-Dl@FH+ChTxl>@6{i>d7_+%cAR&_ymE21YjIOOC}| zPx^=eoEVVpuTs)_)>sbq3f{YHWoz_xb-H%HZH{l8d3zQtb~`h7JVQu(pj&3dZWVXMH8-#FE&ILoYfhC7oU3PzRU`Hf z;~>gPX9n7@KA!(qT=`DH7R=sq8@4cIO7>-E6>`%E9yU=s8_51tIh7iU6*W5Xr0QN2 zHEvs@*qF^bj@{-xgyaJS3YIPs}mk!d3x?*$#o^ zDHsUG@HNCY$pfiF5<>}Qox&>llS*F&-lF|i8wUTm0=L~wqoT1nt<6Wgl??u&( z1(&qMfupTWj!vY&Xb&|KUC(v^>XJ&u+0bE)du6o7`+^Lz0}Cll0S`}(>`rZzCsBzB z!l=J}>&#VpX^Y1x#gNNP?6u!kn@cq(I@OjA%Iv|$RRy<*65?qpNF@_XGdJkW=^uWF ze>*YxVDJda*e&rdoNSzvm@27z(^dd;aVlTY)QF$G7ysPc%D$~?ATcOjq=9R52Ew!e z>b2rYujtx;$KwzR$ZzZ_*WMXvQY?!?lgKHGF^J`RtrH!-3sT|6Oi6%YD|X!&rdMwX zNh{UiNKp3X_1(!x6w7ZU{UjLZoGbe?Sm~X=`r|%`#^5k`CKSAcN4!$fSXof%iBpL> z#!M4)wZFrH-wc!6N|a*A7x~iIVQZkfiedCpX|Jt6=no*gxYr+UW|y76kN22_ zQlB%L(x$ly=gzqgg9%8T&U5^stKjT*?nSibD9nn=%J&Tiae_$1OzCe`$RTs2E@TZ{ z=sr9nd&dVLY@I(Ssd;R0cLK~;XUj*Tq2{vcR5XmB`sgrom!^0ZqxF#6T2I!j(neVJ zXC!A=^96EssBwvJSrj(t!)r!fGf|t z6*nJ^^3e`e`q_*oMRk84=qQj(q^F@R;9*fx)Aoa^&yVn{;7a{q)?oGezS}5|Zb&ms z&YuD}isaPm%wgN`=ZU;PQ&lnOE%&|O?1NS!`ChEo+M57@v3kKdz4a~L8HxCPl@EvC zZ(FuMABkHC9yoi?*%6pnx?YFQe-_YFLxecx|C5LQM5V9re^! zW_Y8GD}3`l=1l-UW393bG|;PS5Q+x%izXWN1Q4Y2g03Rp%{bLuJSDNjl-{xb zshmmr#%z#D0Q-==-BgJlqC&+t#w>a*NbMdwuBtquIzjF#Ttj-bc$`yN`+iaD*AE#5 zCyejj_<`!Pd-cOwWxEyWXD(Z5pcB$9N&{%(l!)n zFZXO?TBxFgPzeLOc51{K0?!vVG!ZjE|d4}=+3Mh|lQqxz5;aXvx!o^hpjzRoJ zS^_JqnLAgNJ)yw#X=MFS?k#8|Sjr|3O?z{XnTEQIQTNbAOa>4^I+f){n@F<1i=G<9 z-CyIU;cT)$fRAhY)$H(-1UW|PF?t0_xlCe)ScM|(#8)d_bTJ5aJ_dS7w>sYL7i2|p zb&%p=N2o%%UJ9|g;p}Xts_(R)8;MP8Hf;9PIzx0~;h*YJJi&=Jz&BDW8d4_@>8Y!|Yz;_I>ftVE6583$$4D$yD34&sq;IO}P|cd4={RT={HG z;j|2^okttKp8O=H%M)>nVrn{BzqQL?Y<%55IR{XP3j zCJv{Iu!7WSwtuv5VCbbVl|8CfZ=U+7Fg0Q?)8j#DCm@xwCBH}g&Xlfa!Z?Yu$ESW6 z46VdT#uA7+PLZEPpmc@HS2VExvHGJHWTxCoJGAzd zj9II;zwE)|Mc|{Yb zXT@(&;qO-TQ5Y&Q+^=gLx}3=2?)+p-o@u?2lu*hr|MIIh7D1-5Ah!@cBV{xHagr5V znOh!ox>ORIM|b+_z19KBm`?CZ-^&~NR(#jpVz$d|br(!G7qm9|>T>Q&%{~+?7qk-v z;(8fQ7)yz3_=I{?l#N*&Cp_L*dm6S|ra%KAL>E@RGkqR&Cf8;$dZeU)v?u&|T&P9` z<`GRoPui5$_PyVnadVfrI-4@kd7An!B|0;9YpbDRGkU743=$8f`Ld=ee+;M>G*}zu zkAfxcakdy&99xtT5ZO?$T7OgD;L`3X-But}$b4d|h(IF@i_h%WPT$~BOl1Y#$| zR1_$F*@GWQwLTmUJ!E}@<<30l=fi|^yU|}^raYSN|GmoxE?1IR^`W$$rJDEnen=KM zwpE-`EP<>LHq2kKSR?;zzD2W6ifLxkL5z)i+`50s>Fnp4Cy$W%G0R*SBs8#`Wy&(T zee(5J@kB*n)D;s@S7@)TTsVNAv)EN}PFC@d{;%wlBD znCWXI5=j_F#PnW*%oC3Mw`&Obkc#{V6Ga?G!KR4zSo^nh`%|qMqXEn%6ls(vS(m0%tF#FX)C{ zlzb&HSCAs+3H{*f>9k&fdI3-%(e^UfBT#eaPR*E&e(T+rWO|bGfOk;x_VA6V-a%(f zpR_KKNDwvW+X}gc=8AAeEs@(pxk9fI>5j3OjV~G5X7l%w4*JdESx63=4xQsbH!vqk9iTw*supQ`tHal~n?}ts z`*Ye<-bnd^N4kh@_1LDBc{s|0!_g;EIV5F<0}LIKu)N|p_QlyS9s4ksj8CD%cuM6h ziG%KwjbxuPN_q8TRk-NJ)MtDC1`0;IbRMc5V&HQyM3?6%9d`KrN(s?jENnb=tFMl} zii!BEjT*%TG00|Xt2ji>5u}|8f$=*A2&87Fz~}|e)G53fO%GS%)JZV=wy}j%uEUKj zDosqXT?WOtk=|=OkOkXbLRrwk$@EY;+`ii=Sxg#dr})iR@kn-mSfi zz}o?6IJ5d}DW*q~MRz0*9}r)21bIS^j0wTNUmI-ge5I%8aeG%`HwtooK-U=11ngIx z$_HOG&ZR^YEk^$oj?XvO&hy--V?uwE$6=?|F&it)&C~DfvZjNcM@Xz?=VMxVLuf1l zk!ltQ{%C&~^FVoKZHVaz76^VX@0h8LQ2}3fI`0{|Z|Ymv!btL}+}EtQA5PYa;~sRj z?nH~^)lZvt-k`=W8*VabNzZ+F)d0bO&=U!DNal)Dz z`Wox_vs9q2M^}=ij1atM@JYwDGO4z0dE2Y9Jk)3O5gF1B zBYsNI3-c{ahM9-CSNW*5ZgTMctn=vl*h&3qdG@f`yTg{>u|c0I+EKtN@LjFKr$;v6 zYKjG@iXKyJyT-LsZx#E5W7CHY7cgF$VfItkXR;VCL=c7`3q z+qw>DCE?kQ+m(DS9^EWsT+2*k%x%^AJNmB%bV)m+%>tJ~xumQ4OkaTP2X@q9>1!OH z=sf9I3EU5qE>Z5e%5tqPh{7xzglO#^bs>E%I7UVjTtyun1=|n2Y6d8KHR~!nyN*}c zVODn1Y-t_=Y9F`PjxnO|j||Kc30n@=7 zpjIrBW-t|B*EmnHjoEO^oQ{Iw7I#-xt|QF8<7g|nt!hm%`25Cqdao0xrA-J1%Z->$ z)@e`YKZ8Z(*6qdFe6;faTV;!XiK9e{_1*&OSuIN-Ha3*s*x-U$ax3$^Uw8NJ6B$S3 zmh|iyN{BNbl@vA(*pevC8ybz zdhm{@6QBJNc(0Ud{Hql{I_OJATSbJ`dzl`1EWPaDB)v-bjcOm%zO8kQ(A{` zvN@6Zu?!bMUG>D2VV7feU_&mi3wuxq&Q%b6eBo@+w$E6#srxt8I&$MY!oWXT@s6?{a$E+TR)l%y` zNd~+@2NK;ldxK3qme3A#boz>&af2sHsW|)JF|VbybmHzsqN#7K0*0clz7KeVlzbz38llTd3rA<|&r>D{6YEtsG z666)Vr19pw+!IrSw7Z&E=$r$ zH>$w9_)5d03=5wIOQD75Jet)Bs+5oN!eE&R-WX^AM$){&Vc{*Ws6O&>KN!Is^v z4%uUk(*E4{61Rh7&c=N^48qTO1YDK-%bP7G5v!sP=zh&JPLef5>{Y2H_4hUQFg|gk z<}5Y)Xq5shCu~YY1eZw7k_o>(OVtJd8ZR6k$&>JREQ*s23PJ4&lKMhzQZ|Y`QrdhT zGqq5I#WRcgjK-V2paTOhIdsV<9sxGeo!gI&etO)G%K&6EbfmQ+^l9igQ0b1m+9Euj z*_ynE&`0$-0RcW~8+x-_u=10*cmGv76C!i>?)4-K-f6rN*iZ?p#ZW-^8@Q+Yc=X9B ziiCvJ%nlBa`L~K|LO{Avb%W>KAOInE$D)kTIEg^^)(GhuhqxVeOB+G+#2)Rz(dBVy!8?7nb(Zym8G9OF1{$)8GIGdDV`Z# z8?N`b@3}rK=-NeOL}*Jzwpw-%FQ(?Re8ld}^LZVAIP+GLr*8x95o`@leT4wk*(&B( z<6}MGmR0-y?i+s-QTOI}i!XA-f}opVC&Ql-5-(xq++vItf0JX|<~T$fc=a)Ci)zW~ zDt@S0855Xfz|19A9TEV^#FWWC6-PE!P2@ht&$5VUSl?5ZsQ0)lkl(GvA*%f-3>W9- z%V+=2y_VAGT+w3aEDcw>7%l*Wwpsjk`&{oK73idEPiF8ZXSjLxP(Sq9Dd2n3PSqX3 zsjmW^yZ9*H88BcBq^frcA+mIc`5!!eOcF)(Zu zlg)aJqfpLs=+gn6C%jh`)PEI?gNH&Snpaw&MH)a@Q_h!fltaj1DloRPC$wJL2(Jwd zyf*e(sW!*lZ=A@V90eufh}MoNFr3O(@OP}}+?8AA7X54G=PeGXJRx%DqazMJ3 z<^xnWm;P|m=zlvCmfiZ!ZCYGhmibCV(cP@`lvWAunduKt-h8Bu$l^=;z|;>p94Jz} zni&tYnUenKyvKC$zL%_}7^Gr6VHB(+i0i94Yjg2HXkK*KA{U8>lJO=lUiJ z%b;nr9Y%u6YbMU>LuKk*SI6E5RpkeWnFu!;(JdNDzQaFKbO z_ZJ@>;j{J(e478rbueWu#z^rVTwC=XE_K1@aj_8N4A|yR)s9&MaNHmHW_URK|4A_D z+TFc2HN2V3TF&ed!h&}F%%+A>#J2FcGU4KO{5`Lqh#=0`GNrh3lHB@zKJr2ot#DDWNx=h3jYnPsm&W&8;< zz9bu&keI6L-$>)1ci(+tS=imq+U(4T5t;0;%XpAJl{QS3_?iAAx~g+um+S(NZZ2qI zzqEko!;1b0h+4tVk68=UQ>95U>V8ka{D*FU@^B zMiM2Hp`|JE$I0(|Fp0WTBzp?}zWm$y@C%DSODPMsjtHkoHU@Y5Yi`W020f)vMJtmjE=|7;-D0gR((JUBk zuuPSl%LQ=^MU$BgRNv#1c!=^a*LFMS-yT;JPCCR3NvV>?@e;HqP4dIX@UA0WW?v5e z?Axv!lr@ft{bAt(m|Vlw(|0dV%kGFJ7ht6t+I9UE<00IH-%hA(Z0X7|MSBms5GOau zD-uX#@$Dk^4946>F~pa4zS-f+dB%>$(_ZCM#y`p+gJ%)EdJ%VV?UzayDf-dWgQ0Aq z#=K$af0p2w@9MwuA#400ZfK%nM2E$1 zl8*6sNk*n~oGM%!t_M4Yi`pZ#acxo+BdwZidpLC)3nfs?Mt>%4W z+keg;5V=KJ%ISeb<58F{LUVavRD6|nOW*QiZ3@&-mc>!v-5WGrLUj$yGZUw-HfjY< zx&8Du_jMdOvdMr&m>P|Ci;pa#Bg&*%e5uxYE(OrHuK#z}eT*X<@vbE`S_`;W{hniz zY_3qZUX)WavTD#~!AMV&+<7$|9W57-IvH~=!eMV#cwWTuFA?CE5kEDcma8r{EdDp; zY6?d5CAsOECY-#U|ENmUKy#(*t^Eg@dGQ=M9pKc}yXZgE)k7<4x&9bQOo9xDC0703 zlJe6^!c}^ufYP%uS9Q45a}Ey0Qk@pPhQj{-kV0{k2r>VdinleO{^UB`Vwu@iY~sp1 zrdcnrBHFZ{Kl49WInIQ)=%z3B<^N>aloqpsdku@iKr{UMqQZ;fL50%&v{nPo_02x^ znI*wK>^?`is9}5ORawtek?t30^U@%gK;car>>foq_smL~DS4@OT|QFSyKlnY7M)@@ zT0Qbq>E0z=1RPq=DrqFI9XYs&h`fJ`==8m z&Wqax&YfCMy~*5mr}=({`pS}YMoEw|4#sA|Z_H~b_o3bQn^nzj6tt-+_BHLXPfMKD z+ZOBgfO>J}UAeJ*OuC*N^{55CSFanT1xmF7S1ZtgAet=C=R76}^%aI!lt)kjF*H96 zJxE)cg28M+=64vJ??!TNe>tDXRyo=Ba==U->7`| z%O7HwQ6>jJGm}R&?=lzu@h%f+2@%ocLFTs1fmZ8Xv}+IRn-k;2g zHEW`jrMI~R>cZ{Pkk%scrBFRN!;Rlfm7e(fzXHs#HEWiZ=%jIXsQWHA;#MPQiDO8+ zd`U44M1Qx4-(2QmMr`~NiO;u78B#r;w#(EdrK$XkizBj5W8Aca&he_{6Wzo}nw^v|dnOH=KjZymPTnH2sk%(LC~|ou$o$RMIVivC zKKS_)flh#;R!cx_66u&LhBii?QwLpW57L(ZaS$IF@M^YEJwE2e|Ly|C#eszu*<{l7 zD(ZRYSFd81R`y7F3jy}aX0wRw&J%M~$jDnI^0?q8Tc(L2`6{G2nxy9h*d|xR8^;#F zB1GpjdhrO1KS{ncXKKKDuv?O|&Hm*5;@ZpRj7%I_UPalf5ok=+3|yVN1{hE{KgP4` zylw)bUsNHVpkx_xXZg!9=ozXJCk;8Yv|a?CcNksZB@sd}R~aJv;9ou!jm1yRbvXi6DSrIeHK-$om&u(@RxeLn&3)2q8Cgc(!GBZ{f9LRI37+``TxcmL90S+1PUD zr8ZWDmDZ;ppST?Fi~Xnb<^BX)c0ps2Yh}M`xF6lG*vG~u#N^|~c55!Nx_gDb*+MIm zp88VBUe-BGy&`gjnbRu(z1&3VO|e}K4pgT4v!oI~(tx7FWjC55N+!ipBXNYTeD^Pe zE?SA<8(kYQ+|!r1llV;$dzg4#O&o7gtO(2A67X&Jswgd~>$owi zu8%21938~MTX65c;@ixF6|pgnqE$R$Zw1eL6wr$><2g?TQ=!`H8h2hQB(?c8rAs!) zUl^1BvXQpm5q@7YiM$yfO+pgAv>xFBk2T0+D#b={_#7%|wWOlcJE`>q=+wk7DNQFa zs+{E7zvPl%W?j|;GU*|{TEdjQJb!nn#5a-JYW2uzbY~C)<2$6?mZSvxKXqZGHVPia zq^qfJt0EKPLMme9o77@ne!K6uar8?Sg}^rXLw%L{kE(HmK{E3yzU(w!+Ew|7ql|aUOc|@VOw``<~IAhfe@@t)d{! z@1BD0Yv0SMne6Q1Gy91Tsw+X$_*k~MdO4yxobPi&9s}%YIGwZC-Q7T6wLAT<{Hj-! zc$1TaLei54cFJZO$1Q@{pi2q&#D*++MAPgYvYKYNt)jcWGne>M*Ol#GSb6C|r1e}! zZ;6uecM+Y<;fbn(43+divQaQA*K*=Df z4tvLI_n2fszI!kDHtqmlw!(0A#wg65_ll&K?#DeSy_(UM+uHlF zPtPg)4O>~2)xU#1U4IVE&s~kFNo8Tj`Zj=NEA)aM_D`}b1zBlA%C>qr0jtlS?kg$d zRuTt9HKt4wOHvb6WGs_w6p7vzf;m<%ku2?#m23lW12sI;EU&SE$Lx1x2BcuN)YCVr zSZ4UKtOlYuMlZcY6PXD6S6t!CRbIfKtSG&Dxl8<+KVQ{Et`t6M-W^49mYf>OUOw%) zT~&5PQ4TArq0Wn7zJN!zXZAFQxeNkP&d6vq{OC_P8G;Je94RGzSsDB+pB|U(1VN4y zWkQ7>|1z#QP>on+i=8$WlZ7f_uYP30w{V}Ii_FhwOfe5K3!2An>+Q%8)L;FxB$Cg{ z=@wuTVQ_fH<_~PQBe-D0(IFfzB4YfrRw8h1{67~bX5sEj=c7dlrlXzq(Z0|aNQ8r8 z>(Q`k0nuNCo9mpGn=ALm1wVpn@%j^l$nY1TAKeP~(xX)06g`G*UEmr#SHqX&&3LW$?Pa9P8t5z->X^)t zvEh{hr$zxaP?$+IWd9pX*pJfNsX=6r+Ct-gCEL%JLmYo=taecTpkrnY5$;MmkHKN| zq;_w-OKBarQmN$1+G<(B6em}iIS{QBEtvwZtU=~=zEI{ zf9J}$k(_NG^42+KFRyX4V@NRFrsVEP*!|71Yk-FFY7WQLt;7_yv$+!`j@<|YaO!>< zADHFD$qIj5q{GCVfmg;$$e;Ty9P*~C#K7dne;M|7Sl-}gH#!-8?nTd>l&$u580lSm zcV#lxe_H_ACkU))us?bY7iay{>{RX7O4hNQ{wVSE&P{>@qGdK*I##choX#hr<;sP~ zk~8KE*SN)JC)Ucjw@wA=m1x6xmnwej(X6sBSIi+YDLF~0`KeYkv47qA8x|?&nKgTW zfR}tEgmN1GTf%R=)2L<8MkON0xZmXIIEo=w5#MkQxR+$AD|mFY@bI1;70#=b`xH%J zWbAqP?r54#C&hh&c6s9iHG3ArRRKYZzD^;CR!&t=T;1s#phWIRL-Lu7(0u8`9$ofN z0@2GaE?@V;EfKRwsz&^$`P0LkH~ALLE&Ie*@QgsN9;c8I zHZ>!i#pzVdNR%_oS2XR?&7FXJHHJk<{p_8mF%dHmTo&OLaNYLr!iF7oHN^**e1YZS z)r2$UV1R;YtY~KRiH6Z6$FnKKWsD#!PVCh(BirFbi}&4MWVFdP?le2pCsR@=n8 zIKfpv&K%=1wCYbaLf#cg!ILfOBNO3r^AaL`@{Wh?dDT<{+`mn@9MPP&99j~WaeK?} zk`juvjrH?NiTD15T-$*_0eL4pd6*8jypAWGcX-+9m+R?C&%oE0@`&stDY-t5(Un3F zM=4H&Z`}rQuNY@VG&6q-t1un%DfxkJS%9Wm&5YgX|H0Z@$3^*dd&7euN=YbPQUX#x zLOK+X4(SE~5s?_WVL$;v1f-=!N~EN77?p0MyL0G#`EzEj z>zci<9c%5izTfXsES$W{u`2TNgPvaSMV#0Z1$G|sVmvU#{A9rt>;6qOScKiB3AMm* z+$?DmcwL0i4Myy|cceV(I{@zfb-VUujT7doa-j!J6%);u*p8hM-j-dP;RP8b^0_*V0(01nLQ|`2&2^{rmjY_X|BC`gJc+4 zL7&{=mOLaO8R+I?Ji;_XV~zJ`Dyi5`?D!iYFE+F>AfB(Al}y@cir}oPpYRdi*blyx zb@K}uxYwNuPRkaqb0#UPw2x`J=(&_8+HRaB$k}`T%J`Tlkn>TESu--)_Cq;INj5n- zi~GGy=7Nt;;{%0d!+6hVzx%6I8qi>Ev_)`ADP@$i3WTh*wFi zk~`GOE>PF3uRqjmsPX~|?{HMIa~8Zk)WRR06|p~7(PrS^rr%N;WV=gsw@Q@uft@ql z#HiC}xUA0|y|8=a28}yEGXv_*0bfwq6P**!iWyxIQ;t5FuMTHk;X6(;1d6sD#J3r2qZz1{ZO6C8|}@(Ph}fe|2u zWN#zQXUNBiLnzH#&P_(5A*-tJvR~y|&ZXJ595;lDbS<#GF(7Lk=nN7h0OJ+_?m{3G zj{ko?TI6i+sl!g|VYLKzXoMZ-ejF8@4)=3aHOxaD!gWCn65Tc*sxt zdM=L15r_3=R|7l#XT!6tQizJ9>94DJPEx)b5wmBWH{kc_Wx0*Negf|Ylx4kVA1o=(d&)07T9;B7{U0_O! zY;G;kME+RM*-nG{uVAhJd7Tld5;pWJRjK+U+v4lbFDY?EiNd&aJ;;W zs5^8&ylANzu&!5{_9=mNn)xpCFcYI9N?@#;1nB=_+aAc?mX{jNlN_ye6Vvk`%Riq- zVM)`+-S~CfOPwM6YHe7axG&E|RxBfA=<={+_H^@B9kMgU?CdWjYrfCP??kD4oQ*r; zQ=AfSA|HVVdOIgFxV<}R+^v+l{(U~nb=i28);8;Jf;zoL#7IzJ`uH|)hVK#KtoO+! zJ>u*EuI1?p>gU=#(r*uGln zE)ntCU)Ic-<34EFz_g-eA_c^PCPNkfU$s@imCls=}&0db^ znV|x-)csFK5w(x;bxT*6X@W z%G-B`X)U%yj5SS=cW<98Izq_5!0lor(eyFm>b$o*Lo&F3h+g#S8g-#-zVUgIW>_?OFH ze>XyUJ3qxK4 zsP6!d)L8JtzKaQR#L*xa?z~nNi?v~s&gs3rQOOUf3yuv>QDxeMP$ikQtdn+%MV}Ic z?7r7YIQ=2x4kC+3>B@JPR$g>@3*ma3e_l6F$UnRx4r>wr4o!`9n}kk26FlKa54MQO zgOvl87FS=xZqmTdx{JC|eJS5%Ob2;f4y6L(6QRLI%gr`C{?C*<3+Aor3vyM%y8hQ2 zh)5EC*n;Qjae<05x#hG?&UU@oIYE#lJS_M)CF4n0Vs)An384dh>DC#u<|qs3SRS+k z5z@~C^F>xC&Wz!?Wrp5LrGB+QIP20|eR!YEZ8=G{;P#BqrB=FHwaJHfx=8;T$-VU> zk2Is}k(V1$`ri~)dKul)ejWDS8m0w%LSL%SH_g%4Rk^8hUMCwRK9_GjOs|>ij$E~E z^szqm3DO&fKjsD4#U(7a`LcUmW>IO0OES(M#OQHcd#LT2nS7M#mFlw8bNbRvk)cX{ zxrbV2MrW)%tY7Xz(`XG6NZyN6UL49@tRas^bNc*$j3U-mkqsvS2hnx(jYlh%&bvaW zIHB5MvamjGctl@)ZQu?`blrfploq1|Ld|d1lW_J79`%K=QT)KbI)K>Y^q0hUbuT!a zE@wL>!>QL3w$7r0wle8%9$uO!GJeRn+n;7q%r4jD8&MLq>C}4dWFocevSB~ts+yS2-43h zbA+yoFOYeN(+NGv6Qs~J$_R1r>s=!t%u84IP-5zSjSG|&6E zknG$noq;J(Kl^guT{K@z-+NvN5t-LNbG;XJwaXvM=`~G8B1=7k8dyb``WL|moHq_| z4h=51O8n&{?|Z=JyPyl>gNfB0an=h5rs@u`{9T_+>K30LJXnp&u>Jj8h6k^uhVn>E zovQCj?`LvBXLvizIXhsd&Zj)nO<2IhZX0;0%OD%e>(5&CB$FPm1^1OK2E%5@d>3s? ze1jOEvtVncy1pUZ*JFn`$)X4SH+#x{ za51|+-bQtoEIjoqkvcuDrt@s8hl+$>l4PLvN3MJ#hv2)VeLcSRT34HR^eFqww2YY2 zXEcG$tc`C*cP`g%p$ZUZzj16XBW7V%N&++MRW}BmcIfOHQD^G@OIl|Bi_|B%lBa<< zd_|{e)6iHeav1z*lE-)HU;}#bGtrDx@{C5Bo>#`ZwiO;+GUaoW z)pv=?GxI(Q*~dOApZ=ge_-UDQ`M9*;-)%hsH<()-r_@Ci4(Hfh&fvA;C+2fJ@Wl_ zS~l8=)I9woRCjn6ga!V;(8j<`e;B3cdtK%=^(L1FMuA|R&a(n})$`AVDi4UIJDe1y zzNe^8PAzHO&Rq2(xc1ex0oiNrz=2Nl)6U_~rW(+^-&W1Df218;W%7edz(Z?{Yla@B zsM@lG6ESUhAx?7cNuTvpeUG>1AMoE8E$_^Xk<8cLR8;wSJ42kD%J3?C!Rh_!U66H_ zR&)~bZNwbD88Z3$x{xdHTm@-ozaU`Xgez_EWOV_F12HB}4;gw?WN{~R=*#+*_y{n; zK`S=DW{mDZnPm0Hl*=-7 zLsyGeKALP|c`KWInX-Okk zh24j(XvB_-fA!^07z>Jgle_opk4PH6g>Yr|#^eKkrc5kSjJAvp)$sk02dXc}mfurD z4Gkww@!G}yCGmEf@U^AMJv5x>+?=!Y{*{I@BZ~0rnj+yJ6@HsQ8jVX?%zA3PN`evaWN95B z5`glbsC8Uf!~J*;jvTpOX3aO%&1OdId56%PpUPNKuu7t z@S|?`Ot*`XswLI(Xc~Yps(zH~joS%E0HrZCR;kI%GaCwDzU2>V3%{oo2Y%YOMI?~kQd%)A4z+xRCa?S? z-;3~tZZJPhH8+ZnF&{|*sBMd?O;eyfC!b z8RH(57++PKM{@kSt$5^QpipDAIxWgYKWBMeBtvTqQ#^}QG!Uj#4iTMN{1h~b=KiRe zlvUzHVi9-0ze8GPqVCN`451KCj~S|L`zxwzK$>!c=&izCGaz2X{*%tIhr6+JItq(7 zvOg|T#~e@S_i3h-U_5cq-&~BKj7^{nCmYs{#Z#1E+Z*mw!*ZlZoAcDR8ZW*!XwsRO z_Gy!IP3aVAtOLKEmV+>t81_3yBPhLmYvlJ`u|1C!4Wc~y^98vMT%(l35Z?_$y38rj zM)IdfLzJru)lXfzn1r~Bu&V>}o>#w(o;`W9<>MCkli}IG!Zjg-=Hp0b*_%yFH1@AG z+_@w-%XM(GvBVT<^M7pm8Q+l0yhOc`@MNf#khhq50;o`@kxVcTk$)y|rz73|;t z8DnbNIlmq5vOOl~(f;`E_5+K`a*#|6S^qeA7Fv-FSEO~|?5~kt(8@1#>~{OTF?#yy z({fC%RR1YMb>;`?=)_zs5XuVjHS0F*D~R%Q%6id4j}zv88tAx?9qAh7>m4vDOCqgu zK$Ttn`3)BJtAXixd?iECE8cD4$HEg8Up7sBg-;A^HXpjFwM_h-615hac41!O)nUx# zWQ0Kn|LUTa4$*cWu)(u_I*O}UU=j_MP2gg_Vj6!)Qm?8~;|zZ1hugh1S_cdc-P5C9 zqHb9qUEftX8a>V~Hc#%I-N2U5eO%}_NLj_32&eq~X(V<=p>p!(mmbsA550jgiglRr za)C2t&vNc~2s5UAaGzo`(D<2`T5HAr@rpciAA7kaMxhl}u7{J->znFIf3FRyUF zS6I7d_Kbe8`u%oXv)>(6YPp{&+^>`O9p$_>Ka6?8noBAqluXJSljLzSH&v8qQ#w^V zZ@%N5eqGLa^uWR3`(Mpfwvxx$aYEHW)W1cDd8A)Gas=BjclLyr+t+;#VQzgsCtHWk za?fn;`);SN%O3rF33Up~e*EB(W%B6#Q+QBlsbqM|{Rdy~Ghdlfzpis}tEj-b8h$ck zVdyJ=T6##=euFYAi_B_tfyu?q)ZT_7brjlabE1dsY+OHT8e^EQ`uWX#H?J0SOIswB z^yH@XSE9r?BLW4F18q$`BQ>9ce$P9fU_`y|Yj7#QvcltTL-1+THITc;-p`4HYCpY} zaQ?&^;>yv*{Th|rKJApqg8KgdgnOex{wepA%tI&e@A?%vj0QD=8NI!)Q6Zc?%T9XE zYOq7Hvu)w%MCD;*`ZgUjWhMQ=6q>?4U-`PKw%1DjW@UB6aeAudE=uCx!Ro;Q ziMy3DctEITS>C`#hNsuXlhnA0lV{n9Ibk^ z_X+!qRz=JMRjYB*GS_n3Qq!?t{LZEz0j2Nz2G|&AiKY> z9;aD!dyBMk66Ua5n}}gnnL{y732pr+38=$7*!HydWQF1H`_;vNX9gF!NF~`;-Wk;X zGw8YrpYFWgH?5p{82)xFXf%Ppn~ev$h6?FcuXnruk+cF=F`=Vk1LsQpZ&PNY1d>=> zTNo-pZI}?9`vR%1KcP!x{3A)B=Iqw91sRGy@Ez9wg>dG7I~3Y`v;L~NvflsZtDy}& z)-s5rJGgbu?r-F~>iuTwdE3hndxwpd`m=k09{>CunP&*PI=Dq4~)KN%t zLJd**{Da|g^R0E%!$fH|-Ul{0&P6_C6Y)N;Sw@Uj3n2YG;IH*!CY1q^C~9h)^G`YPDw8D{BofKw05zG5t@e2{Oz|)kfrn76wV2fu{AwxeN-Pl z8NdNx(tp~Sn;8`^DxM?29Gug{w?vs9?Mn*qBdVdtPc6Pd3ac9j8V0k$d>oaHL%d-sna$-Xjt6?vfk7;7q z33HbGU=*w?LjH?F1FWlwu(QOdsJD0upi|vviJnCH)KCH=IVL-s!L4ko;;iOp=hp6q z2T>kZbGM{Ud6E6SK?#hSWNEgUBYW3$zf{Pc{Pk$9H@^yDY>)e@u$HmGV~m7 zD;9MJL!-639`Z2ptNgx_LhRE{y~h2^9hlS{&u;0HUzdR5t(fInKt1~C7q5up4O5?G zErc8Ez475uQy;Fif?N5vuk79oPrGGvANk453O>0Eki_`scz76-#ndinoF3L{c^$z{ zcdm}EFRw}G5tr51WV__2LB{_lIJjs@yqz5AS&3oos>!rk6gl zC(gA>@foD%)t_D)%Roo7ih$(zgF2|B^UK#=lpgJS3goOJUPVQaOWpRl6@UQ&`>k4tpZ<~@^YwcfTduaC#QP-2 z;8>f6psabmIU$;8fG=Am+**?%g!N;#HPaT(Re%vt@Mq71_~@-XaKTyPFLN;_rtom) zRsaIVYq=JtONB=Ao1G?+Ewk9Cf?s{v{u(k}Nsp7pM+}cA-+&nZ5vI$=5-b25#QcKe zo@JGVTV$>S!((G3m77<^vzf*6S0 zCmg>azY~w&*q=MPbInbp3=ivn6i1QpEig=G@{<}ilk%i3Hl$b*7y!qIyJ|f{(BgAq zzJ>SB8+weuq+FqG0(AHRdweQS!`=J znf5*Q(=$gqHp}vS7b9nsHzd9Ra7DMJ{R?`XBhovpP}zP3lWzJI~u^N)sn(qS}1HcdmtLYqkTyxD7AxWp8UlqYU90yL|5lY6d5k0}xAOHYbYXjf-D77dnq+uim6}e%rH;Jf z^D|wEUya>4$EE(%EUD=2L+Q4aymMriG$YGav=JFmq|D!}3GiMVvocJ7T~eD#zwV3( z`Yz*5H@Z({bJ$fLrXbXg*7H#Kl^$nS{D>Mm!!_$g(F+rMDuS$8K>y_pcKD`mjFlWXDN*+Up<|X`Ls0S;LyoRF}S>>qP7*6FQCWQN5-Q;=iLr8fp5t6{m0o z6D!H}T;jIcM@|awJ9=bF+9UU#IP|3WY={SV-CtZH)rMym1mDXMQe0-vKS1xW1#MdK zqI%9%HF(jYQ}=R%dX%gHXnD9r;{n2OgXW$pQUP--WzI>=g&`j_n@;`x-%#Mj6Be>4 zxtPfa4(3!Pt6rm9?Klm(*gx#jQh>d zMN6MpmbB5A_F94piPQet_jY39($UVh<53NM{(+NbK0mISrMxZW9>m18!_4j(P^8TD zm4?^hOg#mHF_)&aXvBZz=i7tHl^tJFzBT@c4%GVcxN-97_ijJF01vx`rz}EoQpw7) z-u{yL2XHy8`x4oXX4diweR|3AEygkUW83fZU$xVoOK9%8+$aO?*PZGZ;+7XLJ`EZ7 zGN%P984J+nL^jvT=QGiE&i%FTWI#d2(e`3|No7r^WAUFan?;#+`&JEVen&0%2nSIf ztE->k*1G+b%Tk9*8q@&r`Ub^Wz$|>m8YjwW*)d{l(lkf1jXVn&(%5mc(@_ecESGLs zcb_wtX<$T5Pv=8dG<;t7YrkwDrR2tL3ng9sR_^MruH@#c1u;L`L~jF%)(zX;AGukTo-v!UC|V5G9_mpRB**!vj0Jw94$YD+7J&OW77yUY zbr19Q2E8gDZWG}KZ@F_k0$Qp1jQ`I zkQp+1KIpyGNe!$(ie$GQ!S%*&8hT&S;qE^rHRX)L;hZ@1<90EIDMdDD<_f+ zGQoz6lOL7goO7~SUt&f5bUG2A9*^oz7uc+_xSg67cuLq?;E%o#_n4@tFglev`UFmn zpLsl~G*9q<_tyyLZ|Hqk4;b1b{6&WyZ~)Z$AjNF=-B!ckEe8_CcAM0NN2&E#_oCil zA8S%lpii!px3ae{go~B5e(yCku7YwKFVA}T=pGv5l_=Gs=B(IfzPeqU9D&q`09Y{p zMOp>83WX9TM(r%AT)4D@SVv{27P{OWHqD_gRu?$lo#&)M@k%AXXb{VnDV-i{;pWt--s$3qKPV;gEN(f3p=gNhb#|D()wsuW+l^mA-R3Lk3oSy-5^Wono5U z3~}x3K7ys(5hRu^hUKQ|eJkVwRu5yN{4v}?jiX(JOV{%Lmjm*giTkQyIO9Ni;3ZttyjggX|jTeQicv6fphDNn6{#CLX zUT@{w(9Jh`v+3+XVY%X1);CklF<4kk?0eIJy&1#2Y}0gg)>xH&DkW2El2MXww~*TO zXiNE&jTKB2nj`mBXLna7%{HFS{kmcmzHXYCqPuqmxRmF^7$UO)g)M0{JVg`NI?}e0 zR4+5cz=2lm?L2SGLvA1!u`)x27z{OldQ>1a2HiIgV_K;Q<*TE7*n%NP`?P9Pd_{gT zG*70;xHuT2Ka2$RK6*#A|2$=qZ^m&aOW8S?5@@e4x13{a1!4J(22InmIb{wOG zgjGo5*%^y_N84pD@hOO9q_uC%BOhAUU7-Qh&0**Ti=!#>D1$rboFKb@ zTD7!PLWD0@=@Hk)Y7HZ^k&#V`rcVgFgYsI9gj6_j>-seEu|Hcg44-I8U|zQZ26 zlC~>jKuq7^uDWLE@|A8Pm#EbKfhN7^7@2!kkjrq-d`N2yV<@(RO4dakQ>>27n|Rrvp4!h_YT0PK(ZS3q_}9{> zEIe~ck0$rm6Wfv7>NO@Mlg$gZE4hZYug-RrC1{g}yx5N-*K@5du~@16%r$e0wMy%B zsV064hYh*01rtU3SIA&se6j z3*R;7a7+!|1gq}c^)yXQ?9#Pw*5&I(HQt1*Dj*cotP?i>fub#(OyS(2M0RtDjXdLc z9caG7EEJb2=NJTco-dGWqF0*igokG~H)PCOpxbEUCMtqwUAfNyrfCtbNv5 zejwdS&@0mV_7^$(A*0)v`cOq7p)szcr37%?eM(JhhUOEdL6U-qP5Ml=(0#sejXj3e zR;}=sknXnSK$gAv$;iwg@!cAG9fG#kSViGvo~CaIYhs5F8*T)2eZJ1V6P0oQ-!+){ zsNRYRRH&(h(q2HV!eWnAZP*y5c$~LCD^0U8`|uw&F*T-{|p|+Rbk3Tg4$6o1dKzxxcIs#TRgz4dXixsG_|fVXiejdRH0%-KY9D8|@*;)A>j z?9z7%$M@9M#%y2YKQPDilq8JbWKQxHc_a+9fuH-?kCUC07!bV0yCYPVE3TaV{+p2Y zV3~irahj0w(oWV~j9bC80@0&qg^iXZzx>2~SU>(0HD2)d5=#SJT{kj4o?7h}IHqZT zU!#EiT6#43?hZ!Z1d98}!f1?G!J{IBu14eeRFvZ`vlY-LJEyf5d9vyeWX-$(c$zPIhh*l7gnR01c%|h6DZT2?`t=77W`OQhNoxD&ThvAwL)`|Ha7TFbt3P|67iSWU|3Q za!{oUTVwzofPHU2yyDm7^zZUGrdEa$NZmsDK*r*KRDY;T(&7nkGBB4JO<*>E^Ms9Q zN(eEk%zi4O&8L!JHgFj8K;5U+?b6^$k&nLr8*I1wkyL#`U8h18!%u2e!A2{QMHa<5 zp%p*=Ez@xjmrUkwx{KRw>|i>qw>NEm^FhC!I6*!pc7#M&meTZ1B4jx52vULU_FVH& z!uXozDc%hb8VV=}(S+2Gb*+o)+v(UVe$lk%pNMrE)M+(=2>TiiI+Fk2DI*B3`Y(zM z{*Qh|(Sw-%oeWIxpT(op^DYoj-Awb=AulKlC_^fD_x9fNunSpzpSmi>7k6)~%JgDD z008@BC}HrvTi%!4DR9z(fY5yZPQXwa8ECyD2=t(6Kh_O`hd{td?lA(uvJHVR^#jNo zuX&*KkdY6EvvzC!zrb>e8_jslZP<42q3=n<`&jo!oqV{X)MPUHV3f$kXjr+<6sVJH zc-N9$$(P%3TP2;9?F0c@6lu}R14W%Qr3WvMknTAnX0x)!0YefoT8g?S&c(h$Q9vbi zO?X51?4Awc0ukJ}c`P(7YpAY!yXERKU4RnoB;ezhI= zt1HDK#MP|xmcu#FvHG6kUTz>XDvX`kotiuI(s|=&f`7OzM^AKb)XQK1sp$TG@{Kv} zTXTQKy!dy*PE<%7kWFpQXURe_Z_eKvs`hjc56?YJz@oev)ar=)Fx>tyck_{x`HByXeC9y9S?4Mf`%IHFc_1F<~ptr-;=d_)@>;^@!lGbN0zA=*sWVfo-cz#dQOZnO-enal=n- zm*VtX`Atemzf36c9mY+53Tu`tmMZTw&pz^fs6VMBuu&mjm1Vyrun?`-EcHXAO?^If zP?t?4PZbN>A5>X$Z_#+9J|9VNhj$=-M?KCo?I)Q0QEwi!hDT3gK!DKp^Jm{}Q7VFB zdEbKV{Ii;5?`%IW1-h_RA=I5A3G$6A^~K9=+8blqx%xTT%32Li3{k9gU8PxHQo0i++Mh26HK7lJ=Eh7u<=uBvf7l6> ze6@4-3dhVt?11U2s_At}5x%SNWxuG`$&Ww7s5H6F-Ea2UidEBAwoZ_&w5R@Pu1MLZ z7ENf?l_oKX?0l7Q98t4KWZXMtko-wo45zxfiOxAbzb_0R9dVpQ=AzmIS9JOmT6Aj5 z4o;mI*U;Jk1wYs?U%O!GgyRHZm^1IR4hu6RKhETzjAe74Ynyq&Ur|ELc6i^-a~rp`XkHsPZF#l( zQ#kuluklF4jo4XXANdX*H;nEUSKAz0Yi|(K>2eiogY<)vG@p4WsHx8p=`giHd5H4wd!0RB!Z^z^|kM>g#!_i+8Zo zcQ8k0=4IbycgZm~WlIgiiK0mc9otXKaMSt^5{k5k$bfWo<^}uuH0t`4p9*$;0^2!` zHDro#lcCU)_ABiQyeh?Ts5HV`2KCvTe!95LUSFLw)ykc=!7k)ixiaBm-GMO~PAAf} z#^ANO@DjMVJ&rlsy$Y}>fpH?;1SW=k`Or;H+3*<=yLHmG&0(vFy@9Cm$1NO^2Q&&$;EQ`tCPeU!8;8u8dy1sAjpzySX~-ftv@z z*Yh&JlgjBY=5B%CWV7|i&E*x+7e7AwYYpArz>wAlzD8aqq;>h)>N1XP?w9yDJCctl z5?y0K9SM~m4(yMCnZ(cwm~d{54+4dUmX@p})4F$!;Kfcg0(A-|I#hLQ3^mDoG43O5 zBOasfL!{Q!e9UqOooA)#`07yoEQmH}@~>6LILr8FMS{bqDBl+ZZ9~vbpb!Yp*^e6l{@) zVk1hCNvyLmTZ;Hi>uN%wc59@Ujnup5`If~kkc*tTubUHOKg=Zi?e{T$d`7zlLRZ1= z^%f)yP}X}5DDm$%`H3v#6-e;J^bbc|ZZmj*Z%tNPCQ2~_{6T(kjcK!qQHb%(1G99* zS*4vX5_86z!p&@OukiWkNNu;p{nhuD_(%NMWnonMKQPj{K+pVt&cxR$+No4bqVe4YjF?Q*o$eu|3H^d}Z$fvW*EWH!jJU{-h+vV@k-J0r1Dxc-nW9Er0dIg-i$U z`y-8fS9GHfR|}Dm^={a66f1H#7=#wv%IoGLqE)us*8B&}-mjZDrQQhLoTEhF%^%4j zO|mm>_q)-rRa9?Rl;xcg_K5DOSEx(mbj8;Uy_6H@ErO1!8oPHTBY!8}PlDJmGD1bcL&9i_Iw6py^_97tp zLcX)2wM%M3em@IxA9!$cN&%|JkMU+OKWac8qf^i%-~-ctrai>UeVi z{b>Yhv5u1#j2DtaGruNPL*!pOXqKm-fyO0!HlQR$lW8(=!`??(uNJKSxcO2$Py5{( zL)PZI_jS}6ljP|dKgw^SeNy1IHg@I^DSc2h%=hJXZ|m_f_UDW@DBg4tgT&9(o zC;!p%GVZO^uyxnh31?Bx4!|Vh;mZoJCIT;UJgeAg@TuF495PjyjIohg7Io)wh-UHR zgsfp>Nj9E8$7-$s5bQd3vM}7O8Zs~NL06IR%6@6`q_VQZ!B2j(tLpqGQIu2`jc>kS zUxJ2YewP2mjFBA1V<>n>Z$DHPwR9+suN!Uyt=OxVrLLr?Bc+aSrVbVSMbFs8M= z->kIPdT`3(AP)XI2Nej!k zSYi#FWo@FEFdCuDM!;F%!}wlOsn z>Vqb?jXZF99Yrteqp6pq9F*hG@QBK~Q-+w(UH^DpooLX^1<&<94>j?O*J@hE<)*b-ANw?wgxIrvew2v2 zzBkKmX<+?ai$U^lWZI|j^M}eNTi#c$q{uU~Tq{=R#-5RTQ<5Rkxv7_R z$;M%j`mH!OUWak%BAb~kwp#b&Yg=2#)B3tNRaJKHd^UBLh0BAKd@-CWfdMK1 z9fmB(XL<0BID*bP4}`vSjm-M&z<2YNvllznyCXlkCImIRyv)zC9-6({nhjAmp_?8Y zlL3qHk9&gc6RWDS?p|(M+g5t;UZD4{Sf$}hxq2ut)m4H?YmGReTa%0%OU7XzkPqD8 zR`(!>0OaAQ0}QrjUDwQl<{eO?zGe`MBZJXU)Ia#ABI2q?0vbq7* zz5uw_zp1#$CFv<5pRWL*ROr8+jmK(+&R28Kr+mMH@PT1LALKdEXcSuI`_0HAuhe%p z1}7xSo=(qEgxLEP9(QAaC$XY!l+>;}T~P!-azggS@3X(5BvY#3j5*927~V$&%tSvm zIDFGfuOyJ%pi7xd9B6WW4*d!$L-Z-uZ#$-Hv_FixOw3>hmgzGqXj$VD!xhPg=?cbK z;>lK5lAEs#2t6MJqL&wlLZI&c6GyU3>%@w_M+`hX!vb1%8=%7r^VV*>xCe1XH{Pi5 zb-uI62u?8tx(UF6|F2^%bMO0wV=D*zn~O)yudN`S55W%X7x_1eQQPNMAxBhYo-K#8 zV4x@^sCYJa0UA?`g)Q`0Qy#$W&{-sQ08K&rY!HaB1R5}hh6n`=f;iCs;mh9pZs;0K z+)%xuE0pg1jqL5{RHd>y+YE4Aw6`BCb&l0@vR9?%GE1jU6@@T7=j@kkpli=2* z;dzYoUUt5F2a<@6)%>RA?FNlf*R88??9nn^@9cvt19P3&2mG7x zhqW>~7S1imukMUH5A;x5&nfER45j_+x65S?uHVOR}i6w*gPxsmh`w8Y-qNCtcom(u>Xx;ZW!b zaVJ|8y!>WR2=hRG=}-#JeC9Qe1}OQmnJgI#2s5u4Qf5QbEPyFsZzdb{aww0y=|j?$ z&Koh%^&8lT7)=;7 z&p(KRoJ6#5>WPzcy0zu{<8X%W^f>%dbFduAhsm zjJdpE=qSb!QlkWBB)NiH#H#f|DwW~tNo>Xi^X~Z)IK2kx6O?@aN`3PI;cvA267+|A7!J7VCLu z6Od^O_jqcaoH){>0HO<%3ya0-3djk5ohr%TG0pEC|2u4RI$#!dS#s?rTqm*1bJc=y zyegiRTQdwnaNzN$)))iz;J}Ooy6nhg(E74Jt#!7^z>qQ z>YCwj9@;}5WySZ!vIc;7)e2XH11HC&F3ialIeZB)rhdZ3@V%83=+&CMl=IVe116Vr zaEzY@^B?{0=Q?-6seco3k$Al?M0~XYnze(tZXA43t!GZdc9zsD_O8Ov_qq*RpC>Jf zAa$=vHj%wRO>-1)r}5lDSOP1C@w$z~^O-J%-nY!_jF4^3QJG&Da}Uu=nq|e`_ArCR ze;$FiAExg6tM>Iy$M~v2PB!_@{uC{I(lMi?MQWgC9zRNoL4B2sBmJ=WkYc~!q%r2^l}(3Y$k#=je3bR^1%@_uUaYLZPiG-F;QZMBgC^4 zeKRH+uURQNUc*uULR2Cj4M-Ce%^s(IWUmoUD{7}5=R@A`6V^0GK?a+Hv-0BSi6I97 zeyaN3vUJTRSnygvilc@^A4$Qq5KN-$M3V{FRj$kJqqCW5TqXE_A6s{}-YW(*^fm2~ zJR36Cy9a@&0RbmR(lO$gUfl$YUA3q+s-%rNXPU%dX8TkkkbQdo4Ik1=4uUqb-)%RH zU;aj5Cg{*uvf0j_WZ$zmEjlm=fMt%od+H#I%WT8d*8SAu?3-mhu26?$0*L0*1B+s2 zuD9*Hsegl^>JsBXCNS*I+Au++`B;yFddc;74=V=}SltMUkCx}F`IH-*e>WP7>8eKG zhXLuwMw`StqzxG5=amK~DGC)&f6b3+gX&^;MzGF5`*Q0x@KBU7g|Utu_4vB-#GuGB zYIT?|MGER%7>za{5La~2Sf-uXSo#O1@42S8{+(`PKtJ(Rn{Ydqlw+8j$gj;{5X7Zn za?BO@fJokb3&5GRll3$YlXh3SK;yw;_{`%KDwSj@#AVMnlv5tD&WzhXf49{C*BP#( zX8D&%Wx9t+&tuY2SL}ZaU|oj&^IZDGAj`byMQJ38Btx5Zn!gc=`5b%ZM;bb_&w_t9$De(tg`^Xp{Tz&{1^1iTk&l6r8K??M|35Ue z|1!yQvYOU<+xhWhgp;CX61UVIxS`LN>UzMU8ozphF_(mPXFLFg!)#geHcKmWk#?~g z^b}~3ey~lx0OiEXfHbVp3;tN8%D_Gy@=sF}EffQwK4Hv*2o@qGr-Hh@_DAtEVO)2D z?II_SM8jA!AM%QPM`1#&LGYYHd_vQjJGcK+!M){iEaz_6j&i>FIR5oU%r2;+`?qUx zu>h_ZP`)HFfYf{eYwN8%IBAi*)eJ9I8%yy5yS!~02!Oq>pGTP7nKw02ttI|gw-TMK z`kpicluT6vgY}oEC)&rnqHN^4lNnbLMOYMXXHhJ*lvOZfZmxEl(2o_kCurWm+`Qs+ zX3QOB+6DTLi(sd`(Tr@&6>BoySuw8b^X7#Q-8^UO;euiu~tuC`&1xH_l|w=`gcI_pNrl54}E;m z`@Z&lb>jx$D5KGxRa^Hv0B_4p0Tonjj~_qI+WO0{1=K_1u3A!`lOPhXTl)Hi8!W5i zmsH5e%eO0g{diZtU;4xK<|{X6=P*43HtTpmT06t*UjP4C|I7aW_x%znSy@^yv_Ej} z4D(1&`v6>sRk-re+4YgyH=nq!KVW0_KlRh}Neg%Ud!%0`abOF|w9FC9Ui;n#QQ#q5 zVxVN*qRE>+xRy=_-{jk-vVu!rdi#@m}#i@-&y3%$fH6}uTOY=6fOnLaudQ(?&pMdzZtxab-y!gzj0z9HCw7z0&AJ`2Ef|lzu=8!JJR~&L>iJReT-yRY7O=dpbJ*_wyJunE2mNQ=OYGC%eobM5Qj~0cqpJVq#`GYLiR;C4a*Y<9Ds7g3X!1R~ahB1c_Hf`0 z(FGrY!BKnC`Oit2-I=aO4g+^KYaCeG-5x6AoZ(@#cva62D2jBl;+IM6ZmUpTN2 zqz0O@6$7rlj|g|MdDFaUBY!OLdg)+LflAB~S}){*yDYYvKhD|v8+g4iC~`W0M>qTp z5uee$O@)u)zyZ*}G{5=;t397nD#U@c3WF6WEDMBIDvJdiz55{&XbW)V9#BLHxE){n z=8-w~o3w$dfKzJ=>MdqoF_o68KAV0}lz~Bk4Kb?It+&u-;T6HnWpC0ffGvdv(9G}u z3zMw8XP--RPrehfajVo(y^R@MzkqA`K$Yzd2dl5I(ynGjEM5=}yhWxJ;;1RWJzQ!L zdj&1R@0)+g6}|#2UxD`{1D#^Da&y?GlOMQzymz+-G+ll0xQKzF1{fKC4|gs(7nHwj z$zLRQ3#|lpcQ-_HF)-`}R$3sx?t10K_3Z!)WI*EI!F6|nwGO7L8Gd;u4D=XeXt#ve z@CE81bby(kerfXmm-S5GTKU)f`+rZr{jidwWF_dFvUQg?O8@r%e;IfTnHlsriFWX* zW%hq>zi%_uVFK0$XP-Tu|4#sP1lNJa*XiQZ)=4BS1&u#5urU+rPy-bu9QgU4`D)nH U_QctfqCmPlUHx3vIVCg!0KB4jRR910 literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md b/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md index e69de29..e0692fb 100644 --- a/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md +++ b/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md @@ -0,0 +1,18 @@ +We describe the state of electrons inside specific orbitals: + +We assign each orbital a number from 0,1,2... +In each orbital each electron has a specific energy level $E_0,E_1,E_2,...$ +Electrons in a particular orbital x are in the corresponding quantum state $\ket{x}$ + +![[Pasted image 20260805145524.png]] +![[Pasted image 20260805145536.png]] + +### Time evolution of a quantum state + +![[Pasted image 20260805145615.png]] + + +### Energy / Hamiltonian + +From now on we assume there are only finitely many orbitals N. (not really true) +