Classical capacity of quantum channels with general Markovian correlated noise

Abstract

The classical capacity of a quantum channel with arbitrary Markovian correlated noise is evaluated. For the general case of a channel with long-term memory, which corresponds to a Markov chain which does not converge to equilibrium, the capacity is expressed in terms of the communicating classes of the Markov chain. For an irreducible and aperiodic Markov chain, the channel is forgetful, and one retrieves the known expression for the capacity.

References in corpus (4)

• Coding Theorem and Strong Converse for Quantum Channels
• Quantum Channels with Memory
• Coding Theorem for a Class of Quantum Channels with Long-Term Memory
• Classical Capacities of Averaged and Compound Quantum Channels

Cited by in corpus (13)

• Quantum channels and memory effects
• Coding Theorem for a Class of Quantum Channels with Long-Term Memory
• Classical capacity of a qubit depolarizing channel with memory
• The Classical-Quantum Channel with Random State Parameters Known to the Sender
• Forgetfulness of continuous Markovian quantum channels
• Quantum-enabled communication without a phase reference
• Fault-tolerant Coding for Quantum Communication
• The invalidity of a strong capacity for a quantum channel with memory
• Emergent non-Markovianity and dynamical quantification of the quantum switch
• When non i.i.d. information sources can be communicationally useful?
• The strong converse theorem for the product-state capacity of quantum channels with ergodic Markovian memory
• Polar Codes for Erasure and Unital Classical-Quantum Markovian Channels
• Entanglement Assisted Classical Capacity of a Class of Quantum Channels with Long-Term Memory