基于秩1 povm的量子相干性和弱值

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL Quantum Information Processing Pub Date : 2025-02-28 DOI:10.1007/s11128-025-04685-x

Ouyang Yu, Zhengli Chen, Fangguo Ren, Feier Han

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引用次数: 0

摘要

在本文中，我们首先获得了\({\mathbb {C}}^{d}\)的成对线性独立（PLI） 1级povm与Hamel碱基之间关系的表征。利用得到的关系，给出了基于PLI rank-1 POVM的非相干状态集为空的充分必要条件。其次，我们推导了基于PLI等级为1的POVM的非相干纯态的详细表征。最后，利用秩-1 povm和等重叠测量的性质，给出了可观测值的弱值与其轨迹和期望之间的一些关系。

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Quantum coherence and weak values based on rank-1 POVMs

In this article, we first obtain a characterization of relationships between pairwise linearly independent (PLI) rank-1 POVMs and Hamel bases for \({\mathbb {C}}^{d}\). By utilizing the obtained relationships, a necessary and sufficient condition is provided for the set of incoherent states based on PLI rank-1 POVM to be empty. Secondly, we deduce a detailed characterization of incoherent pure states based on a PLI rank-1 POVM. Finally, by properties of rank-1 POVMs and equioverlapping measurements, we give some relationships between weak values of an observable and its trace and expectations.

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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.

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