Work

Classifying coherence with a finite set of witnesses

Year: 2024

Type: article

Abstract: Coherence is a fundamental resource in quantum information processing, which can be certified by a coherence witness. In order to detect all the coherent states, we introduce a useful concept of coherence witness and structure the set of coherence witnesses C [ m , M ] d . We present necessary and sufficient conditions of detecting quantum coherence of d − dimensional quantum states based on C [ m , M ] d . Moreover, we show that each coherent state can be detected by one of the coherence witnesses in a finite set. The corresponding finite set of coherence witnesses is presented explicitly, which detects all the coherent states.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/ad8795

Authors: Xue-Na Zhu, Zhi-Xiang Jin, Gui Bao, Shao-Ming Fei

Institutions: Ludong University, Dongguan University of Technology, Capital Normal University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

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

Awards: G213382315, G5958823808, G604181186, G6588604613, G7206151321