Enhanced quantum channel uncertainty relations by skew information

Xiaoli Hu; Naihong Hu; Bing Yu; Naihuan Jing

doi:10.1007/s11128-023-04113-y

Enhanced quantum channel uncertainty relations by skew information

Xiaoli Hu^*
, Naihong Hu
, Bing Yu
, Naihuan Jing

^*Corresponding author for this work

School of Mathematical Sciences

Jianghan University
Guangdong Polytechnic Normal University
North Carolina State University

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

4 Scopus citations

Abstract

By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables’ coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.

Original language	English
Article number	365
Journal	Quantum Information Processing
Volume	22
Issue number	10
DOIs	https://doi.org/10.1007/s11128-023-04113-y
State	Published - Oct 2023

Keywords

Quantum channel
Skew information
Uncertainty relation

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10.1007/s11128-023-04113-y

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title = "Enhanced quantum channel uncertainty relations by skew information",

abstract = "By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables{\textquoteright} coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.",

keywords = "Quantum channel, Skew information, Uncertainty relation",

author = "Xiaoli Hu and Naihong Hu and Bing Yu and Naihuan Jing",

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AU - Hu, Xiaoli

AU - Hu, Naihong

AU - Yu, Bing

AU - Jing, Naihuan

PY - 2023/10

Y1 - 2023/10

N2 - By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables’ coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.

AB - By revisiting the mathematical foundation of the uncertainty relation, skew information-based uncertainty sequences are developed for any two quantum channels. A reinforced version of the Cauchy-Schwarz inequality is adopted to improve the uncertainty relation, and a sampling technique of observables’ coordinates is used to offset randomness in the inequality. It is shown that the lower bounds of the uncertainty relations are tighter than some previous studies.

KW - Quantum channel

KW - Skew information

KW - Uncertainty relation

UR - https://www.scopus.com/pages/publications/85173616277

U2 - 10.1007/s11128-023-04113-y

DO - 10.1007/s11128-023-04113-y

M3 - 文章

AN - SCOPUS:85173616277

SN - 1570-0755

VL - 22

JO - Quantum Information Processing

JF - Quantum Information Processing

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ER -

Enhanced quantum channel uncertainty relations by skew information

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Keywords

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