2024/09/26 by Singh, Satvik, Nilanjana Datta, Datta, Nilanjana · 1 citation
Computer Science · #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Neural Networks and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2409.17743
openalex publication_date 2024/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an open quantum system undergoing Markovian dynamics, the latter being modelled by a discrete-time quantum Markov semigroup (Φn)_n ∈ ℕ, resulting from the action of sequential uses of a quantum channel Φ, with n ∈ ℕ being the discrete time parameter. We find upper and lower bounds on the one-shot ε-error information transmission capacities of Φn for a finite time n∈ ℕ and ε∈ [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.