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arXiv · 2401.05499

Facets of correlated non-Markovian channels

Vivek Balasaheb Sabale·Nihar Ranjan Dash·Atul Kumar·Subhashish Banerjee
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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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Vivek Balasaheb Sabale, Nihar Ranjan Dash, Atul Kumar, Subhashish Banerjee. 2024-01-10. Facets of correlated non-Markovian channels. https://doi.org/10.1002/andp.202400151

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