Skew information decreases under quantum measurements

Shunlong Luo; Qiang Zhang

doi:10.1007/s11232-007-0039-7

Skew information decreases under quantum measurements

Shunlong Luo, Qiang Zhang

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

15 Citations (Scopus)

Abstract

We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems. © 2007 Springer Science+Business Media, Inc.

Original language	English
Pages (from-to)	529-538
Journal	Theoretical and Mathematical Physics
Volume	151
Issue number	1
DOIs	https://doi.org/10.1007/s11232-007-0039-7
Publication status	Published - Apr 2007

Research Keywords

Affinity
Conserved observable
Density operator
Monotonicity
Quantum measurement
Skew information

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10.1007/s11232-007-0039-7

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title = "Skew information decreases under quantum measurements",

abstract = "We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems. {\textcopyright} 2007 Springer Science+Business Media, Inc.",

keywords = "Affinity, Conserved observable, Density operator, Monotonicity, Quantum measurement, Skew information",

author = "Shunlong Luo and Qiang Zhang",

year = "2007",

month = apr,

doi = "10.1007/s11232-007-0039-7",

language = "English",

volume = "151",

pages = "529--538",

journal = "Theoretical and Mathematical Physics",

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T1 - Skew information decreases under quantum measurements

AU - Luo, Shunlong

AU - Zhang, Qiang

PY - 2007/4

Y1 - 2007/4

N2 - We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems. © 2007 Springer Science+Business Media, Inc.

AB - We prove that the skew information decreases under nonselective quantum measurements that do not disturb the conserved observable. We further conjecture that the skew information also decreases under selective quantum measurements, and we prove this for two-dimensional quantum systems. © 2007 Springer Science+Business Media, Inc.

KW - Affinity

KW - Conserved observable

KW - Density operator

KW - Monotonicity

KW - Quantum measurement

KW - Skew information

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-34247231469&origin=recordpage

U2 - 10.1007/s11232-007-0039-7

DO - 10.1007/s11232-007-0039-7

M3 - RGC 21 - Publication in refereed journal

SN - 0040-5779

VL - 151

SP - 529

EP - 538

JO - Theoretical and Mathematical Physics

JF - Theoretical and Mathematical Physics

IS - 1

ER -

Skew information decreases under quantum measurements

Abstract

Research Keywords

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