Information transmission under Markovian noise
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910662411681792 |
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| author | Singh, Satvik Datta, Nilanjana |
| author_facet | Singh, Satvik Datta, Nilanjana |
| contents | We consider an open quantum system undergoing Markovian dynamics, the latter being modelled by a discrete-time quantum Markov semigroup $(Φ^n)_{n \in {\mathbb{N}}}$, resulting from the action of sequential uses of a quantum channel $Φ$, with $n \in {\mathbb{N}}$ being the discrete time parameter. We find upper and lower bounds on the one-shot $ε$-error information transmission capacities of $Φ^n$ for a finite time $n\in \mathbb{N}$ and $ε\in [0,1)$ in terms of the structure of the peripheral space of the channel $Φ$. We consider transmission of $(i)$ classical information (both in the unassisted and entanglement-assisted settings); $(ii)$ quantum information and $(iii)$ private classical information. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Information transmission under Markovian noise Singh, Satvik Datta, Nilanjana Quantum Physics Information Theory We consider an open quantum system undergoing Markovian dynamics, the latter being modelled by a discrete-time quantum Markov semigroup $(Φ^n)_{n \in {\mathbb{N}}}$, resulting from the action of sequential uses of a quantum channel $Φ$, with $n \in {\mathbb{N}}$ being the discrete time parameter. We find upper and lower bounds on the one-shot $ε$-error information transmission capacities of $Φ^n$ for a finite time $n\in \mathbb{N}$ and $ε\in [0,1)$ in terms of the structure of the peripheral space of the channel $Φ$. We consider transmission of $(i)$ classical information (both in the unassisted and entanglement-assisted settings); $(ii)$ quantum information and $(iii)$ private classical information. |
| title | Information transmission under Markovian noise |
| topic | Quantum Physics Information Theory |
| url | https://arxiv.org/abs/2409.17743 |