Quantifying non-Markovianity via conditional mutual information
arXiv:2103.01416 · doi:10.1103/PhysRevA.104.032212
Abstract
In this paper, we study measures of quantum non-Markovianity based on the conditional mutual information. We obtain such measures by considering multiple parts of the total environment such that the conditional mutual information can be defined in this multipartite setup. The benefit of this approach is that the conditional mutual information is closely related to recovery maps and Markov chains; we also point out its relations with the change of distinguishability. We study along the way the properties of leaked information which is the conditional mutual information that can be back flowed, and we use this leaked information to show that the correlated environment is necessary for nonlocal memory effect.
10 pages, 3 figures
References in corpus (7)
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Operational Markov condition for quantum processes
- On measures of non-Markovianity: divisibility vs. backflow of information
- Foundations and Measures of Quantum Non-Markovianity
- Optimal state pairs for non-Markovian quantum dynamics
- Non-Markovianity through flow of information between a system and an environment
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- The impact of memory on learning sequence-to-sequence tasks
- Quantum conditional mutual information of W state in non-inertial frames
- Availing non-Markovian dynamics in effective negative temperature-based transient quantum Otto engines
- Classical and quantum parts of conditional mutual information for open quantum systems
- On the relation between quantum Darwinism and approximate quantum Markovianity
- Ergotropy-Based Quantum Thermodynamics