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Results tagged with quantum-gate
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user 8746
For questions regarding usage, performance, implementation, application or theory related to quantum gates.
4
votes
What is the general method for creating real gate sequences from mathematical algorithms?
This is a complicated question, which I am definitely not the most qualified to answer, but I encountered the same questioning during my learning path, and I had to find the answers by myself. Therefo …
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1
vote
Why is declared that $0 \le \theta \le \pi$ for Qiskit's U3 gate?
You use the mathematical representation of the gate to generate something you can apply to your qubit. Nothing breaks if you input $\theta$ higher that the range given. We can see this with some exam …
- 887
4
votes
How to understand intuitively the Grover diffusion operator?
It is often described as flipping the number around the mean. Lets take example with real numbers (normally these are complex numbers). For example, we have an array of 4 elements and we want to find …
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2
votes
Question about a circuit from "Quantum Computing for Computer Scientists"
As you have read, Grover's Algorithm consists of starting in an equal superposition and the applying two gates, $U_\omega$ and $U_s$, $\sqrt{n}$ times where $n$ is the number of elements.
You are look …
- 887
5
votes
1
answer
1k
views
How can you decompose Grover's diffusion operator into gates?
I know how Grover's diffusion operator works ($U_s = 2|s\rangle\langle s|-I$) with the inversion around the mean. However, I want to implement it in simpler gates, to use the algorithm. How can I do t …
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8
votes
Accepted
How can you decompose Grover's diffusion operator into gates?
Grover's diffusion operator can be implemented with H, X and a controlled Z gate. I will show this mathematically. Since $|s\rangle = |+\rangle^{\otimes n} $ :
$$
U_s = 2|s\rangle\langle s|-I = H^{\ot …
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