From f95057f8f6fa0ef88d10fcf33fbaff3dd934afea Mon Sep 17 00:00:00 2001 From: Benjamin Neumann Date: Wed, 5 Aug 2026 11:17:06 +0200 Subject: [PATCH] vault backup: 2026-08-05 11:17:06 --- .obsidian/workspace.json | 25 +++++++++--------- .../Anhänge/Pasted image 20260805110521.png | Bin 0 -> 4718 bytes .../Anhänge/Pasted image 20260805110633.png | Bin 0 -> 29639 bytes .../Anhänge/Pasted image 20260805110641.png | Bin 0 -> 43941 bytes .../Anhänge/Pasted image 20260805110648.png | Bin 0 -> 14074 bytes .../Grover's Algorithm.md | 18 ++++++++++++- .../13. Quantum Physics/Quantum Physics.md | 0 .../Introduction to Quantum Computing.md | 2 ++ 8 files changed, 31 insertions(+), 14 deletions(-) create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805110521.png create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805110633.png create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805110641.png create mode 100644 SS2026/Quantum Computing/12. Grover's Algorithm/Anhänge/Pasted image 20260805110648.png create mode 100644 SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 0b799eb..a9d5af5 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -13,12 +13,12 @@ "state": { "type": "markdown", "state": { - "file": "SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md", + "file": "SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Grover's Algorithm" + "title": "Quantum Physics" } } ] @@ -218,25 +218,26 @@ }, "active": "25f5b25d5eca7203", "lastOpenFiles": [ + "SS2026/Quantum Computing/12. 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Grover's Algorithm/Grover's Algorithm.md b/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md index bfce5b2..6eb0530 100644 --- a/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md +++ b/SS2026/Quantum Computing/12. Grover's Algorithm/Grover's Algorithm.md @@ -38,4 +38,20 @@ Now we define the unitary FLIP$_*$: The algorithm works as follows: 1. $\ket{0}$ on every qubit. -2. +2. Superposition over all entries via H which results in the quantum state $\ket{*}$ +3. Apply unitary $V_f$ +4. Apply unitary FLIP$_*$ +5. Repeat 3 and 4 t times +6. Measure. + +How does this work?: +We want the algorithm to terminate in $\ket{x_0}$ +First, we bring the system into uniform superposition $\ket{*}$ +We know that $\ket{x_0}$ is part of the superposition so we can rewrite as follows: + +![[Pasted image 20260805110521.png]] + +![[Pasted image 20260805110633.png]] +![[Pasted image 20260805110641.png]] +![[Pasted image 20260805110648.png]] + diff --git a/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md b/SS2026/Quantum Computing/13. Quantum Physics/Quantum Physics.md new file mode 100644 index 0000000..e69de29 diff --git a/SS2026/Quantum Computing/Introduction to Quantum Computing.md b/SS2026/Quantum Computing/Introduction to Quantum Computing.md index 244bc46..e698c3b 100644 --- a/SS2026/Quantum Computing/Introduction to Quantum Computing.md +++ b/SS2026/Quantum Computing/Introduction to Quantum Computing.md @@ -10,3 +10,5 @@ ## 10. [[Discrete Fourier Transformation]] ## 11. [[Shor's Algorithm]] ## 12. [[Grover's Algorithm]] +## 13. [[Quantum Physics]] +