Facets of correlated non-Markovian channels

• URL: http://arxiv.org/abs/2401.05499v2
• Date: Wed, 26 Jun 2024 10:23:26 GMT
• Title: Facets of correlated non-Markovian channels
• Authors: Vivek Balasaheb Sabale, Nihar Ranjan Dash, Atul Kumar, Subhashish Banerjee,
• Abstract summary: We explore the potential memory arising from the correlated action of channels and the inherent memory due to non-Markovian dynamics. The impact of channel correlations is studied using different non-Markovianity indicators and measures. The dynamical aspects of correlated non-Markovian channels, including entanglement dynamics as well as changes in the volume of accessible states are explored.
• Score: 1.3187011661009458
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the domain of correlated non-Markovian channels, exploring the potential memory arising from the correlated action of channels and the inherent memory due to non-Markovian dynamics. The impact of channel correlations is studied using different non-Markovianity indicators and measures. In addition, the dynamical aspects of correlated non-Markovian channels, including entanglement dynamics as well as changes in the volume of accessible states, are explored. The analysis is presented for both unital and non-unital correlated channels. A new correlated channel constructed with modified Ornstein-Uhlenbeck noise is also presented and explored. Further, the geometrical effects of the non-Markovianity of the correlated non-Markovian channels are discussed with a study of change in the volume of the accessible states. The link between the correlation factor and error correction success probability is highlighted.

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