User GaussStrife

3 answers

6 votes

312 views

2 bookmarks

Interpretation of the unitaries involved in the eigenvalue decomposition of a density operator

Sep 15 at 16:17

1 answers

5 votes

76 views

Prove that $|(\langle \psi|_{A} \otimes \langle \phi|_{B})|\theta\rangle_{AB}|^{2}<1$ for entangled $|\theta\rangle_{AB}$

quantum-state entanglement mathematics linear-algebra inner-product

Dec 14 at 20:21

1 answers

5 votes

289 views

4 bookmarks

How can the Holevo bound be used to show that $n$ qubits cannot transmit more than $n$ classical bits?

quantum-state entropy information-theory

Aug 1 '20 at 17:48

0 answers

3 votes

95 views

Circuit to construct a $n$-qubit state which is a superposition of states with only a single qubit being $\lvert1\rangle$

quantum-gate quantum-state gate-synthesis

Nov 2 '18 at 13:30

1 answers

2 votes

28 views

1 bookmarks

Showing that $S(\rho_{XB}||\sigma_{XB})=\sum_{x}p(x)D(\rho_{B}^{x}||\sigma_{B}^{x})$ for classical-quantum states

entropy classical-quantum relative-entropy

Sep 22 at 11:31

1 answers

2 votes

54 views

What can be said about the non-negativity of the relative entropy of $S(\rho_{AB}||\rho_{B})$?

quantum-state quantum-operation information-theory entropy relative-entropy

Aug 27 at 11:56

1 answers

2 votes

38 views

How does $F(\psi, \phi) = [\sum_{x}\sqrt{p(x)q(x)}]^{2}$

information-theory fidelity

May 17 at 17:12

2 answers

2 votes

56 views

How does a $d\times\ell$ matrix of rank $\ell$ and with singular values all equal to 1 imply it is maximally entangled

entanglement matrix-representation

Oct 9 '20 at 11:00

1 answers

2 votes

77 views

Under what situation is $\sum_{i} p_{i}S(\rho_i)$ > 0

entanglement entropy

Jun 12 '20 at 12:40

2 answers

2 votes

118 views

1 bookmarks

Meaning behind obtaining a hermitian operator for measurement in another basis?

mathematics measurement textbook-and-exercises

Jul 20 '20 at 14:50

1 answers

2 votes

78 views

How is $S(\rho)=H(p_{i})+\sum_{i}p_{i}S(\rho_{i})\le \log(d)$ possible if $\rho_{i}$ are not pure states?

mathematics textbook-and-exercises entropy

Aug 23 '20 at 15:43

1 answers

2 votes

43 views

1 bookmarks

$N(\frac{1}{2},2)=3$ for vectors in a Hilbert Space

quantum-state bloch-sphere

Aug 18 '20 at 15:03

0 answers

1 votes

41 views

How is $I(\rho^{QC})=I_{CC}(\rho^{QC})$

quantum-operation kraus-representation mutual-information

Aug 12 at 11:22

1 answers

1 votes

56 views

Moving between $\sum_{I}E_{i}=I$ and $\sum_{i}M^{\dagger}M=I$ for non-hermitian $M$

measurement povm

May 19 at 16:45

0 answers

1 votes

50 views

Question regarding bloch vector solutions for master equation on page 388 of N&C

textbook-and-exercises nielsen-and-chuang bloch-sphere

Mar 29 at 14:48

1 answers

1 votes

49 views

Confusion over HSW theorem depicted in Nielsen and Chuang

quantum-state quantum-operation nielsen-and-chuang

Jun 19 '20 at 16:26

1 answers

1 votes

56 views

Confused regarding explanation of Schumachers compression in N&C

quantum-operation nielsen-and-chuang

Jul 13 '20 at 12:30

1 answers

1 votes

79 views

Proof of quantum data processing inequality in N&C on pg 566

nielsen-and-chuang textbook-and-exercises entropy

Aug 10 '20 at 16:27

2 answers

1 votes

131 views

How does one go about constructing a mixed entangled state?

entanglement

Jul 22 '20 at 17:08

1 answers

0 votes

51 views

Question regarding part of the proof for the typical subspace theorem

error-correction nielsen-and-chuang

Jul 8 '20 at 17:34

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