vault backup: 2026-08-05 11:17:06
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@@ -13,12 +13,12 @@
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"title": "Grover's Algorithm"
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"title": "Quantum Physics"
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@@ -38,4 +38,20 @@ Now we define the unitary FLIP$_*$:
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The algorithm works as follows:
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1. $\ket{0}$ on every qubit.
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2.
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2. Superposition over all entries via H which results in the quantum state $\ket{*}$
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3. Apply unitary $V_f$
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4. Apply unitary FLIP$_*$
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5. Repeat 3 and 4 t times
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6. Measure.
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How does this work?:
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We want the algorithm to terminate in $\ket{x_0}$
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First, we bring the system into uniform superposition $\ket{*}$
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We know that $\ket{x_0}$ is part of the superposition so we can rewrite as follows:
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![[Pasted image 20260805110521.png]]
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![[Pasted image 20260805110633.png]]
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![[Pasted image 20260805110641.png]]
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![[Pasted image 20260805110648.png]]
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@@ -10,3 +10,5 @@
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## 10. [[Discrete Fourier Transformation]]
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## 11. [[Shor's Algorithm]]
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## 12. [[Grover's Algorithm]]
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## 13. [[Quantum Physics]]
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