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2011

Continuity bounds on the quantum relative entropy - II

Audenaert, Koenraad M. R., Eisert, Jens

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The quantum relative entropy is frequently used as a distance measure between two quantum states, and inequalities relating it to other distance measures are important mathematical tools in many areas of quantum information theory.

We have derived many such inequalities in our previous work (K.M.R.
Audenaert and J.
Eisert, J.

Continuity bounds on the quantum relative entropy - II · Around

Built on

H. Umegaki, Kodai Math. Sem. Rep. 14
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A. Wehrl, Rev. Mod. Phys. 50
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F. Hiai and D. Petz, “The proper formula for relative entropy and its asymptotics in quantum probability”, Comm. Math. Phys. 143
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M. Ohya and D. Petz, Quantum Entropy and its Use
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Earlier work this paper cites.

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Then

A.E. Rastegin, “Upper continuity bounds on the relative q q -entropy for q > 1 q>1 ”, arXiv:1010.1355 (2010)
Original
2010
Later among the works it cites.
K.M.R. Audenaert, “Telescopic Relative Entropy”, arXiv:1102.3040. Presented at TQC2011, May 22 2011, Madrid (2011)
Original
2011
Closest in time.
K.M.R. Audenaert, “Telescopic Relative Entropy–II: Triangle Inequalities”, arXiv:1102.3041 (2011)
Original
2011
Closest in time.

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