Facets of correlated non-Markovian channels
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866911973053038592 |
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| author | Sabale, Vivek Balasaheb Dash, Nihar Ranjan Kumar, Atul Banerjee, Subhashish |
| author_facet | Sabale, Vivek Balasaheb Dash, Nihar Ranjan Kumar, Atul Banerjee, Subhashish |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05499 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Facets of correlated non-Markovian channels Sabale, Vivek Balasaheb Dash, Nihar Ranjan Kumar, Atul Banerjee, Subhashish Quantum Physics 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. |
| title | Facets of correlated non-Markovian channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.05499 |