Classical and quantum parts of conditional mutual information for open quantum systems
arXiv:2206.10800 · doi:10.1103/PhysRevA.106.042412
Abstract
We study the classical, classical-quantum, and quantum parts of conditional mutual information in the ``system-environment-ancilla'' setting of open quantum systems. We perform the separation of conditional mutual information by generalizing the classification of correlations of quantum states. The condition for identifying the classical part of conditional mutual information is given by adapting the no-local-broadcasting theorem to this setting, while the condition for classical-quantum part of conditional mutual information is obtained by considering the multipartite quantum discord and the no-unilocal-broadcasting theorem. For the quantum part of conditional mutual information, we further generalize the characterization of entanglement by quantum discord of state extensions to the multipatite setting, so as to derive a generalized Koashi-Winter-type monogamy equality for conditional mutual information. Our results have explicit dependence on the extensions of environment, which are useful for studying different environmental contributions to the quantum non-Markovianity of open quantum systems.
24 pages, 1 figure
References in corpus (10)
- No-local-broadcasting theorem for quantum correlations
- Structure of states which satisfy strong subadditivity of quantum entropy with equality
- Non-Markovianity through flow of information between a system and an environment
- Eavesdropping on the Decohering Environment: Quantum Darwinism, Amplification, and the Origin of Objective Classical Reality
- Conditional Mutual Information of Bipartite Unitaries and Scrambling
- Monogamy of quantum discord
- Quantifying non-Markovianity via conditional mutual information
- Bulk private curves require large conditional mutual information
- Quantum Markov monogamy inequalities
- Characterizing entanglement using quantum discord over state extensions