Facets of correlated non-Markovian channels
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.
Keywords
Cite
@article{arxiv.2401.05499,
title = {Facets of correlated non-Markovian channels},
author = {Vivek Balasaheb Sabale and Nihar Ranjan Dash and Atul Kumar and Subhashish Banerjee},
journal= {arXiv preprint arXiv:2401.05499},
year = {2024}
}