Classical and quantum capacities of a fully correlated amplitude damping channel

Abstract

We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We discuss the degradability properties of the channel and evaluate the quantum capacity for any value of the noise parameter. We finally compute the entanglement-assisted classical channel capacity.

16 pages, 9 figures

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• Beating the Classical Limits of Information Transmission using a Quantum Decoder
• Partially Coherent Direct Sum Channels
• Capacities of the covariant Pauli channel
• Enhanced high-dimensional teleportation in correlated amplitude damping noise by weak measurement and environment-assisted measurement
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Quantum State Reconstruction in a Noisy Environment via Deep Learning
• The noisy Werner-Holevo channel and its properties
• Experimental witnessing of the quantum channel capacity in the presence of correlated noise
• Genuine entanglement under squeezed generalized amplitude damping channels with memory
• Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
• Complete complementarity relations in system-environment decoherent dynamics
• Multiqubit noise deconvolution and characterization
• Protecting three-dimensional entanglement from correlated amplitude damping channel