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zQj@WVom_$ifoI*HPqV;;KP&&D=;o3E2Gs`!RoJ2@xH0c{ZNeg0ku+0K{!P7`dYK*Z z{oD*(3K+oif1SZv!C3=THzC65$(ZG?z8lzb_LHrDO7Xpj6(NB79tjJe0snuxcR>$y Y0udFd(BpTH$DWZCWmRP=rQU@65AX~yE&u=k literal 0 HcmV?d00001 diff --git a/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md b/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md index c7ee826..a770d7d 100644 --- a/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md +++ b/SS2026/Quantum Computing/Bernstein-Vazirani/Bernstein-Vazirani Algorithm.md @@ -31,3 +31,14 @@ It can be calculated as follows: ![[Pasted image 20260730153305.png]] +And we can rewrite $U_f(\ket{x} \otimes \ket{-})$ as + +![[Pasted image 20260730154444.png]] + +The bottom wire has not changed. +The top wire now has f(x) encoded in its quantum state. +The phenomenon that the output of f is encoded as a -1 is called phase kickback. +We need one final step before measuring. + + +Now, we perform one final hadamard gate on the top wire.