Correlation between concurrence and mutual information

• URL: http://arxiv.org/abs/2203.12833v1
• Date: Thu, 24 Mar 2022 03:35:41 GMT
• Title: Correlation between concurrence and mutual information
• Authors: Yong Kwon, Seung Ki Baek, and Jaegon Um
• Abstract summary: We investigate a two-qubit system to understand the relationship between concurrence and mutual information. 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.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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.

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