Residual quantum correlations and non-Markovian noise

• URL: http://arxiv.org/abs/2603.13648v1
• Date: Fri, 13 Mar 2026 23:23:37 GMT
• Title: Residual quantum correlations and non-Markovian noise
• Abstract summary: Wu et al. introduced residual quantum correlations (RQC) in 2015.<n>We derive general conditions for sudden death and revival of RQC in X states.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Wu et al. introduced residual quantum correlations (RQC) in 2015 and defined them in terms of two complementary bases. Given a measure for classical correlations, its optimization defines a local basis. Relative to this local basis, one defines a new one that is mutually unbiased to the first one. In the latter, the corresponding measure for quantum correlations is calculated. Local available quantum correlations (LAQC) define a measure for maximal RQC and were introduced by Mundarain and Ladron de Guevara. In previous articles, we derived an analytical exact solution for this measure for 2-qubit X states. Using those results and deriving an expression for the RQC measure introduced by Wu et al., we analyze their behavior for two non-Markovian quantum dephasing channels: Random Telegraph (RT) and Modified Ornstein-Uhlenbeck (MOU) noises. We derive general conditions for sudden death and revival of RQC in X states and illustrate these results with three families of bipartite qubit states: Werner states, Maximally Nonlocal Mixed States (MNMS), and Maximally Entangled Mixed States (MEMS).

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