List questions from quantum-information

Published on 10 Sep 2022 - 17:28

125

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Prove that $tr\Big(\sum_k E_k^\dagger E_k\rho\Big)=1$ for all $\rho$ implies $\sum_k E_k^\dagger E_k=I$

Published on 10 Sep 2022 - 22:57

80

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How to obtain the unitary operator to get specific partial trace?

Published on 14 Sep 2022 - 17:14

137

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Prove $\text{tr}(\sqrt{\sqrt A B \sqrt A})\leq 1$,where both $A$ and $B$ are positive semidefinite, and $\text{tr}(A)=\text{tr}(B)=1$

Published on 15 Sep 2022 - 9:16

253

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Is this Kullback-Leibler divergence between positive semidefinite matrices always well-defined?

Published on 16 Sep 2022 - 17:54

25

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Transformation on a composite system in terms of transformation on the individual basis vectors

Published on 08 Oct 2022 - 15:52

102

Views

Good books on mathematics of information?

Published on 26 Mar 2026 - 14:42

67

Views

Trouble proving approximation for quantum simulation using Zassenhaus formula

Published on 24 Oct 2022 - 18:57

45

Views

"Entanglement" of continuous functions via Mercer's theorem

Published on 26 Mar 2026 - 12:47

57

Views

the quantum world: is $f$ balanced or constant?

Published on 23 Feb 2026 - 22:21

58

Views

The value of $\frac{1}{T}\int_{0}^{T} e^{ikt} dt$ when $T \rightarrow \infty$

Published on 18 Nov 2022 - 15:36

404

Views

Explicit computation of Choi matrix for a qubit channel

Published on 20 Nov 2022 - 15:22

58

Views

Find $\beta$ block matrix given $\tilde{E}_m\rho_j\tilde{E}_n^\dagger=\sum_k\beta_{jk}^{mn}\rho_k$

Published on 27 Nov 2022 - 8:11

73

Views

Number of subgroups of a finite group

Published on 05 Dec 2022 - 13:45

70

Views

Reference for modular theory on $B(H)$

Published on 06 Dec 2022 - 10:44

List Question

Is the Representation Matrix of Every Quantum Channel Diagonalizable?

Prove that $tr\Big(\sum_k E_k^\dagger E_k\rho\Big)=1$ for all $\rho$ implies $\sum_k E_k^\dagger E_k=I$

How to obtain the unitary operator to get specific partial trace?

Prove $\text{tr}(\sqrt{\sqrt A B \sqrt A})\leq 1$,where both $A$ and $B$ are positive semidefinite, and $\text{tr}(A)=\text{tr}(B)=1$

Is this Kullback-Leibler divergence between positive semidefinite matrices always well-defined?

Transformation on a composite system in terms of transformation on the individual basis vectors

Good books on mathematics of information?

Trouble proving approximation for quantum simulation using Zassenhaus formula

"Entanglement" of continuous functions via Mercer's theorem

the quantum world: is $f$ balanced or constant?

The value of $\frac{1}{T}\int_{0}^{T} e^{ikt} dt$ when $T \rightarrow \infty$

Explicit computation of Choi matrix for a qubit channel

Find $\beta$ block matrix given $\tilde{E}_m\rho_j\tilde{E}_n^\dagger=\sum_k\beta_{jk}^{mn}\rho_k$

Number of subgroups of a finite group

Reference for modular theory on $B(H)$

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