Work

Basis-independent Coherence and its Applications

Year: 2024

Type: preprint

Abstract: In the quantitative theory of quantum coherence, the amount of coherence for given states can be meaningfully discussed only when referring to a preferred basis. One of the objections to this quantification is that the amount of coherence is an intrinsically basis-dependent quantity. This limitation can, however, be lifted when considering a set of quantum states invariant under arbitrary unitary transformations. Thus, we analyze a basis-independent definition of quantum coherence, and the incoherent state is taken as the maximally mixed state. We describe the relationship between the basis-independent and the basis-dependent approaches and give several applications to show the advantages of the former method. The relations among basis-independent coherence, quantum entanglement, and quantum discord are discussed by using the relative entropy within a multipartite system.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2412.07449

Authors: Jin, Zhi-Xiang, Tao, Yuan-Hong, Yu, Bing, Fei, Shao-Ming

Institutions: Dongguan University of Technology, Zhejiang University of Science and Technology, Guangdong Polytechnic Normal University, Max Planck Institute for Mathematics in the Sciences, Capital Normal University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Guangdong Polytechnic Normal University, National Natural Science Foundation of China, Dongguan University of Technology, Basic and Applied Basic Research Foundation of Guangdong Province

Awards: G213382315, G5958823808, G6588604613, G8850260621

OpenAlex ID: W4405260760

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