Local extrema of entropy functions under tensor products

Shmuel Friedland; Gilad Gour; Aidan Roy

doi:10.26421/qic11.11-12-11

Local extrema of entropy functions under tensor products

Shmuel Friedland, Gilad Gour, Aidan Roy

Research output: Contribution to journal › Article › peer-review

Abstract

We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.

Original language	English
Pages (from-to)	1028-1044
Number of pages	17
Journal	Quantum Information and Computation
Volume	11
Issue number	11-12
DOIs	https://doi.org/10.26421/qic11.11-12-11
State	Published - 2011
Externally published	Yes

Keywords

Entropy functions
Local additivity
Quantum channels

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Nuclear and High Energy Physics
Statistical and Nonlinear Physics
General Physics and Astronomy
Mathematical Physics
Computational Theory and Mathematics

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10.26421/qic11.11-12-11

Cite this

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title = "Local extrema of entropy functions under tensor products",

abstract = "We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.",

keywords = "Entropy functions, Local additivity, Quantum channels",

author = "Shmuel Friedland and Gilad Gour and Aidan Roy",

year = "2011",

doi = "10.26421/qic11.11-12-11",

language = "الإنجليزيّة",

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T1 - Local extrema of entropy functions under tensor products

AU - Friedland, Shmuel

AU - Gour, Gilad

AU - Roy, Aidan

PY - 2011

Y1 - 2011

N2 - We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.

AB - We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.

KW - Entropy functions

KW - Local additivity

KW - Quantum channels

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U2 - 10.26421/qic11.11-12-11

DO - 10.26421/qic11.11-12-11

M3 - مقالة

SN - 1533-7146

VL - 11

SP - 1028

EP - 1044

JO - Quantum Information and Computation

JF - Quantum Information and Computation

IS - 11-12

ER -

Local extrema of entropy functions under tensor products

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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