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Results tagged with quantum-mechanics
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user 11236
For questions about mathematical problems arising from quantum mechanics, a branch of physics describing the behaviour of nature at very small scales, at the level of atoms and subatomic particles.
3
votes
Traceless Hermitian matrices with simultaneously vanishing Rayleigh quotients
I'll prove some bounds that disprove the conjectured $N = D^2 - 2$ when $D \geq 3$.
Bound 1: $N \leq D(D-1)$.
I'll illustrate this bound when $D = 3$ (so $N \leq 6$). Consider the following 7 of the …
- 6,351
1
vote
Accepted
Traceless Hermitian matrices with simultaneously vanishing Rayleigh quotients
The correct value of $N$ is
$$
N = \begin{cases}
2 & \text{if $D = 2$},\\ 3 & \text{if $D \geq 3$}.
\end{cases}
$$
The original question already proved that $N = 2$ when $D = 2$, and Michał's answer h …
- 6,351
11
votes
Linear algebra underlying quantum entanglement?
Many introductory books on quantum information theory go over the linear algebraic tools necessary to study the topic, including the tensor product (since it indeed models quantum entanglement). Takin …
- 6,351
3
votes
Is the set of two-qubit absolutely separable states convex, and if so, what are its John ell...
There are two slightly different questions here (even without discussing John ellipsoids, which I do not know the answer to), so I'll try to be careful in my answer.
Question 1: Is the set of absolute …
- 6,351