Information transmission under Markovian noise
<|reference_start|>Information transmission under Markovian noise: We consider an open quantum system undergoing Markovian dynamics, the latter being modelled by a discrete-time quantum Markov semigroup $\{\Phi^n\}_{n \in {\mathbb{N}}}$, resulting from the action of sequential uses of a quantum channel $\Phi$, with $n \in {\mathbb{N}}$ being the discrete time parameter. We find upper and lower bounds on the one-shot $\epsilon$-error information transmission capacities of $\Phi^n$ for a finite time $n\in \mathbb{N}$ and $\epsilon \in [0,1)$ in terms of the structure of the peripheral space of the channel $\Phi$. We consider transmission of $(i)$ classical information (both in the unassisted and entanglement-assisted settings); $(ii)$ quantum information and $(iii)$ private classical information.<|reference_end|>
@article{singh2024information,
    title={Information transmission under Markovian noise},
    author={Satvik Singh and Nilanjana Datta},
    journal={arXiv preprint arXiv:2409.17743},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.17743},
    primaryClass={quant-ph cs.IT math.IT}
}