TY - JOUR
T1 - A Note on Quantum Entropy
AU - Hansen, Frank
N1 - Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - Incremental information, as measured by the quantum entropy, is increasing when two ensembles are united. This result was proved by Lieb and Ruskai, and it is the foundation for the proof of strong subadditivity of quantum entropy. We present a truly elementary proof of this fact in the context of the broader family of matrix entropies introduced by Chen and Tropp.
AB - Incremental information, as measured by the quantum entropy, is increasing when two ensembles are united. This result was proved by Lieb and Ruskai, and it is the foundation for the proof of strong subadditivity of quantum entropy. We present a truly elementary proof of this fact in the context of the broader family of matrix entropies introduced by Chen and Tropp.
KW - Concavity
KW - Incremental information
KW - Quantum entropy
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U2 - 10.1007/s11040-016-9213-1
DO - 10.1007/s11040-016-9213-1
M3 - Article
AN - SCOPUS:84971280055
SN - 1385-0172
VL - 19
JO - Mathematical Physics Analysis and Geometry
JF - Mathematical Physics Analysis and Geometry
IS - 2
M1 - 7
ER -