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19 Questions

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302

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

Sep 20 at 14:32 nervxxx 226

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answer

255

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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 27 '20 at 12:52 glS♦ 15.8k

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

quantum-gate quantum-state gate-synthesis

Dec 23 '18 at 8:07 Sanchayan Dutta 15.3k

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answer

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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 12:58 GaussStrife 938

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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 29 at 0:49 Adam Zalcman 10.3k

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

information-theory fidelity

May 17 at 19:11 glS♦ 15.8k

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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 16:45 glS♦ 15.8k

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

entanglement entropy

Oct 8 '20 at 17:54 glS♦ 15.8k

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answer

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 25 '20 at 14:59 glS♦ 15.8k

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

quantum-state bloch-sphere

Aug 19 '20 at 7:33 Martin Vesely 10.2k

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

quantum-operation kraus-representation mutual-information

Aug 12 at 12:50 GaussStrife 938

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

measurement povm

May 19 at 21:51 Mateus Araújo 1,408

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

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

Mar 30 at 11:59 GaussStrife 938

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answer

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Confusion over HSW theorem depicted in Nielsen and Chuang

quantum-state quantum-operation nielsen-and-chuang

Oct 8 '20 at 17:54 glS♦ 15.8k

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answer

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Confused regarding explanation of Schumachers compression in N&C

quantum-operation nielsen-and-chuang

Sep 30 '20 at 3:52 glS♦ 15.8k

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answers

106

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

mathematics measurement textbook-and-exercises

Sep 25 '20 at 11:42 glS♦ 15.8k

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answer

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

nielsen-and-chuang textbook-and-exercises entropy

Aug 24 '20 at 9:26 glS♦ 15.8k

vote

answers

130

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How does one go about constructing a mixed entangled state?

entanglement

Jul 29 '20 at 10:35 Niel de Beaudrap 10.5k

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Question regarding part of the proof for the typical subspace theorem

error-correction nielsen-and-chuang

Sep 30 '20 at 3:53 glS♦ 15.8k

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19 Questions

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

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

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

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

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

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

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

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

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?

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

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

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

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

Confusion over HSW theorem depicted in Nielsen and Chuang

Confused regarding explanation of Schumachers compression in N&C

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

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

How does one go about constructing a mixed entangled state?

Question regarding part of the proof for the typical subspace theorem