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2014

Remainder Terms for Some Quantum Entropy Inequalities

Carlen, Eric A., Lieb, Elliott H.

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We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy.

For these we state conditions for equality, and we prove some new error bounds away from equality, including an improved version of Pinsker's inequality.

Remainder Terms for Some Quantum Entropy Inequalities · Around

Built on

M. S. Pinsker,
1964
Earlier work this paper cites.
I. Csiszár
1967
Earlier work this paper cites.
E. H. Lieb,
1973
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, A Fundamental Property of Quantum Mechanical Entropy, Phys. Rev. Lett
1973
Earlier work this paper cites.

Similar

E. H. Lieb, Some Convexity and Subadditivity Properties of Entropy, Bull. Amer. Math. Soc
1975
Cited alongside, same era.
D. Petz,
1988
Cited alongside, same era.
M. B. Ruskai,
2002
Cited alongside, same era.
E. A. Carlen and E. H. Lieb,
Cited in the paper.

Then

A. Fedotov, P. Harremoës, and F. Topsøe,
2003
Later among the works it cites.
P. Hayden, R. Jozsa, D. Petz, and A. Winter,
2004
Later among the works it cites.
E. A. Carlen and E. H. Lieb,
Original
2012
Later among the works it cites.

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