Correlation between concurrence and mutual information. (22nd September 2022)

• Record Type: Journal Article
• Authors: Kwon, Yong; Baek, Seung Ki; Um, Jaegon
• Is Part Of: Journal of statistical mechanics. (2022:Sep.)
• Publication Date: 2022-09-22
• Subjects: entanglement entropies -- entanglement in extended quantum systems -- quantum information; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/ac8e5b
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We investigate a two-qubit system to understand the relationship between concurrence and mutual information, where the former determines the amount of quantum entanglement, whereas the latter is its classical residue after performing local projective measurement. For a given ensemble of random pure states, in which the values of concurrence are uniformly distributed, we calculate the joint probability of concurrence and mutual information. Although zero mutual information is the most probable in the uniform ensemble, we find positive correlation between the classical information and concurrence. This result suggests that destructive measurement of classical information can be used to assess the amount of quantum information.