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GaussStrife
  • Member for 5 years, 7 months
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6 votes
1 answer
717 views

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

6 votes
3 answers
780 views

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

6 votes
1 answer
146 views

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

3 votes
2 answers
693 views

Prove the triangle inequality for the trace norm: $\|M+N\|_1\le \|M\|_1+\|N\|_1$

3 votes
0 answers
107 views

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

2 votes
1 answer
86 views

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

2 votes
2 answers
475 views

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

2 votes
1 answer
44 views

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

2 votes
1 answer
137 views

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

2 votes
1 answer
67 views

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

2 votes
1 answer
85 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?

2 votes
2 answers
84 views

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

2 votes
0 answers
106 views

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

2 votes
1 answer
51 views

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

2 votes
0 answers
60 views

Can't understand how $D_{A,B} + D_{A,C} \ge E_{A,B}+E_{A,C}$ is proved used the subadditivity of entropy

2 votes
1 answer
161 views

Question regarding the monotonicity of Mutual Information of a tripartite state under multiple non-local commuting unitaries

2 votes
1 answer
115 views

Local operation to change the maximally mixed 2 qubit state to $\frac{1}{2}(|01\rangle \langle01|+|10\rangle \langle10|)$?

1 vote
0 answers
34 views

How can $\chi(\hat{A},\hat{B}:C) \le \chi(\hat{A},B:C)$ be true?

1 vote
1 answer
72 views

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

1 vote
0 answers
51 views

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

1 vote
1 answer
66 views

Confused regarding explanation of Schumachers compression in N&C

1 vote
2 answers
368 views

How does one go about constructing a mixed entangled state?

1 vote
1 answer
132 views

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

1 vote
1 answer
114 views

Confusion over HSW theorem depicted in Nielsen and Chuang

0 votes
1 answer
85 views

Question regarding part of the proof for the typical subspace theorem