基于度量调整倾斜信息的不确定性关系的求和与乘积形式

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2024-06-24 DOI:10.1007/s11128-024-04440-8

Cong Xu, Qing-Hua Zhang, Shao-Ming Fei

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引用次数: 0

摘要

不确定性原理是量子力学最基本的特征之一，在量子信息处理中发挥着重要作用。我们通过观测值的算子表示，基于度量调整的偏斜信息，建立了更严密的不确定性关系求和形式，从而改进了现有结果。通过采用观测值采样坐标的方法，我们还提出了不确定性关系的更严格乘积形式。我们给出了详细的例子来说明我们的不确定性关系的优势。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

The summation and product forms of the uncertainty relations based on metric-adjusted skew information

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The summation and product forms of the uncertainty relations based on metric-adjusted skew information

Uncertainty principle is one of the most fundamental features in quantum mechanics and plays a significant role in quantum information processing. We establish tighter summation form of the uncertainty relations based on metric-adjusted skew information via operator representation of observables, which improves the existing results. By employing the methodologies of sampling coordinates of observables, we also present tighter product form of the uncertainty relations. Detailed examples are given to illustrate the advantages of our uncertainty relations.

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来源期刊

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.