On skew information

Shunlong Luo; Qiang Zhang

doi:10.1109/TIT.2004.831853

On skew information

Shunlong Luo
, Qiang Zhang

Department of Mathematics

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

77 Citations (Scopus)

Abstract

We show that skew information introduced by Wigner and Yanase, which is a natural informational extension of variance for pure states, can be interpreted as a measure of quantum uncertainty. By virtue of skew information, we establish a new uncertainty relation in the spirit of Schrödinger, which incorporates both incompatibility (encoded in the commutator) and correlations (encoded in a new correlation measure related to skew information) between observables, and moreover is stronger than the conventional ones. © 2004 IEEE.

Original language	English
Pages (from-to)	1778-1782
Journal	IEEE Transactions on Information Theory
Volume	50
Issue number	8
DOIs	https://doi.org/10.1109/TIT.2004.831853
Publication status	Published - Aug 2004

Access Output

10.1109/TIT.2004.831853

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{a53535aa31bf4ee99f4f6eaef2228711,

title = "On skew information",

abstract = "We show that skew information introduced by Wigner and Yanase, which is a natural informational extension of variance for pure states, can be interpreted as a measure of quantum uncertainty. By virtue of skew information, we establish a new uncertainty relation in the spirit of Schr{\"o}dinger, which incorporates both incompatibility (encoded in the commutator) and correlations (encoded in a new correlation measure related to skew information) between observables, and moreover is stronger than the conventional ones. {\textcopyright} 2004 IEEE.",

author = "Shunlong Luo and Qiang Zhang",

year = "2004",

month = aug,

doi = "10.1109/TIT.2004.831853",

language = "English",

volume = "50",

pages = "1778--1782",

journal = "IEEE Transactions on Information Theory",

issn = "0018-9448",

publisher = "IEEE",

number = "8",

}

TY - JOUR

T1 - On skew information

AU - Luo, Shunlong

AU - Zhang, Qiang

PY - 2004/8

Y1 - 2004/8

N2 - We show that skew information introduced by Wigner and Yanase, which is a natural informational extension of variance for pure states, can be interpreted as a measure of quantum uncertainty. By virtue of skew information, we establish a new uncertainty relation in the spirit of Schrödinger, which incorporates both incompatibility (encoded in the commutator) and correlations (encoded in a new correlation measure related to skew information) between observables, and moreover is stronger than the conventional ones. © 2004 IEEE.

AB - We show that skew information introduced by Wigner and Yanase, which is a natural informational extension of variance for pure states, can be interpreted as a measure of quantum uncertainty. By virtue of skew information, we establish a new uncertainty relation in the spirit of Schrödinger, which incorporates both incompatibility (encoded in the commutator) and correlations (encoded in a new correlation measure related to skew information) between observables, and moreover is stronger than the conventional ones. © 2004 IEEE.

UR - https://www.scopus.com/pages/publications/3943060216

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-3943060216&origin=recordpage

U2 - 10.1109/TIT.2004.831853

DO - 10.1109/TIT.2004.831853

M3 - RGC 21 - Publication in refereed journal

SN - 0018-9448

VL - 50

SP - 1778

EP - 1782

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 8

ER -

On skew information

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Correction to “On Skew Information” (IEEE Transactions on Information Theory)

Cite this