Questions tagged [angular-momentum]

6 questions
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What are spin-coherent states?

Trying to understand the paper; https://arxiv.org/pdf/1702.02577.pdf and ran into "spin-coherent" states. I wonder those are.
John Parker
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How to prove the fundamental equation in the theory of angular momentum $\sum_{l=x,y,z}\langle J_l^2\rangle\le\frac{N(N+2)}{4}$?

How to prove the inequality$$\sum_{l=x,y,z}\langle J_l^2\rangle\le\frac{N(N+2)}{4}$$ where $J_l = \mathop{\Sigma}_{i=1}^N \frac{1}{2}\sigma_l^{i}$, and $\sigma_l^i$ is pauli matrix acting on the $i$th qubit, $N$ stands for the number of qubits, and…
narip
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What is the physical significance of the general rotation operator $R(\hat n,d\theta)=I-id\theta (\hat n\cdot\vec J)$?

John Preskills lecture notes (here) contain an equation for a general rotation operator (eqn 2.25, page 11): $$R(\hat{n},d\theta)=I-id\theta \hat{n}\cdot \vec{J},$$ where $\vec{J}$ is angular momentum, $\hat{n}$ is a unit vector along the axis of…
Anna Naden
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Why does Sakurai's book use the gyromagnetic ratio of the electron as $\frac{e}{m_e c}$ instead of $\frac{e}{m_e}$?

I'm studying quantum computing, but I had to review some concepts in supplementary readings, where I came across the following question about a simple detail: Why does Sakurai's book (near Eq. 1.1) use the gyromagnetic ratio of the electron as…
Student
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Qiskit: evaluating expectation value of S^2 operator

I am trying to obtain the expectation value of the S^2 operator with respect to VQE wave function in an older version of qiskit (0.26). To that end, I tried: from qiskit.chemistry.results import * a = EigenstateResult(results) b =…
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$S^2$ expectation value of a circuit seems wrong

I need to rewrite a following circuit from Cirq to Qiskit with $2\varphi = \pi$. It's a circuit representing an initial state for VQE calculation. Considering, that qiskit_nature considers a different ordering of spin-orbitals (first all spin-up,…
Eenoku
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