Information transmission over an amplitude damping channel with an arbitrary degree of memory

Abstract

We study the performance of a partially correlated amplitude damping channel acting on two qubits. We derive lower bounds for the single-shot classical capacity by studying two kinds of quantum ensembles, one which allows to maximize the Holevo quantity for the memoryless channel and the other allowing the same task but for the full-memory channel. In these two cases, we also show the amount of entanglement which is involved in achieving the maximum of the Holevo quantity. For the single-shot quantum capacity we discuss both a lower and an upper bound, achieving a good estimate for high values of the channel transmissivity. We finally compute the entanglement-assisted classical channel capacity.

17 pages, 7 figures

References in corpus (14)

• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
• Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
• Quantum Capacity of a dephasing channel with memory
• Spin chains and channels with memory
• Noise-enhanced classical and quantum capacities in communication networks
• Quantum entanglement enhances the capacity of bosonic channels with memory
• Memory Effects in Spin Chain Channels for Information Transmission
• Enhancement of transmission rates in quantum memory channels with damping
• Classical and quantum capacities of a fully correlated amplitude damping channel
• A Lossy Bosonic Quantum Channel with Non-Markovian Memory
• Distributed super dense coding over noisy channels
• Many body physics and the capacity of quantum channels with memory
• The role of chaos in quantum communication through a dynamical dephasing channel

Cited by in corpus (9)

• Quantum capacity analysis of multi-level amplitude damping channels
• Qubit(s) transfer in helical spin chains
• Witnessing quantum capacities of correlated channels
• Information-Theoretic Memory Scaling in the Many-Body Localization Transition
• Beating the Classical Limits of Information Transmission using a Quantum Decoder
• Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement
• Experimental witnessing of the quantum channel capacity in the presence of correlated noise
• Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
• Multiqubit noise deconvolution and characterization