Tighter sum uncertainty relations via (α, β, γ) weighted Wigner–Yanase–Dyson skew information

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2024-03-06 DOI:10.1088/1572-9494/ad216b

Cong Xu, Zhaoqi Wu, Shao-Ming Fei

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引用次数: 0

Abstract

We establish tighter uncertainty relations for arbitrary finite observables via (α, β, γ) weighted Wigner–Yanase–Dyson ((α, β, γ) WWYD) skew information. The results are also applicable to the (α, γ) weighted Wigner–Yanase–Dyson ((α, γ) WWYD) skew information and the weighted Wigner–Yanase–Dyson (WWYD) skew information. We also present tighter lower bounds for quantum channels and unitary channels via (α, β, γ) modified weighted Wigner–Yanase–Dyson ((α, β, γ) MWWYD) skew information. Detailed examples are provided to illustrate the tightness of our uncertainty relations.

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通过 (α, β, γ) 加权 Wigner-Yanase-Dyson 倾斜信息实现更紧密的总和不确定性关系

我们通过 (α, β, γ) 加权维格纳-扬纳-戴森（(α, β, γ) WWYD）倾斜信息，为任意有限观测变量建立了更严格的不确定性关系。这些结果也适用于 (α, γ) 加权维格纳-雅纳斯-戴森（(α, γ) WWYD）偏斜信息和加权维格纳-雅纳斯-戴森（WWYD）偏斜信息。我们还通过 (α, β, γ) 修正的加权维格纳-雅纳斯-戴森（(α, β, γ) MWWYD）偏斜信息，提出了量子信道和单元信道的更严格下界。我们提供了详细的例子来说明我们的不确定性关系的严密性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.