Classical capacity of Gaussian thermal memory channels

Abstract

The classical capacity of phase-invariant Gaussian channels has been recently determined under the assumption that such channels are memoryless. In this work we generalize this result by deriving the classical capacity of a model of quantum memory channel, in which the output states depend on the previous input states. In particular we extend the analysis of [C. Lupo, et al., PRL and PRA (2010)] from quantum limited channels to thermal attenuators and thermal amplifiers. Our result applies in many situations in which the physical communication channel is affected by nonzero memory and by thermal noise.

arXiv comment14 pages, 8 figures

References in corpus (24)

• Quantum Cryptography
• Quantum information with continuous variables
• Gaussian Quantum Information
• Decoherence and 1/f noise in Josephson qubits
• Quantum Channels with Memory
• PPLN Waveguide for Quantum Communication
• High-fidelity transmission of entanglement over a high-loss freespace channel
• Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
• Probing Correlations, Indistinguishability and Entanglement in Microwave Two-Photon Interference
• Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
• Quantum state majorization at the output of bosonic Gaussian channels
• Quantum Capacity of a dephasing channel with memory
• Coding Theorem for a Class of Quantum Channels with Long-Term Memory
• Quantum entanglement enhances the capacity of bosonic channels with memory
• Bosonic Memory Channels
• A dynamical model for quantum memory channels
• Capacities of lossy bosonic memory channels
• Capacity of a bosonic memory channel with Gauss-Markov noise
• Memory effects in attenuation and amplification quantum processes
• Forgetfulness of continuous Markovian quantum channels
• Gaussian capacity of the quantum bosonic channel with additive correlated Gaussian noise
• Methods for Estimating Capacities and Rates of Gaussian Quantum Channels
• Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
• Gaussian matrix-product states for coding in bosonic communication channels

Cited by in corpus (9)

• Quantum channels and memory effects
• Gaussian optimizers for entropic inequalities in quantum information
• Ultimate Capacity of a Linear Time-Invariant Bosonic Channel
• Improving parameters estimation in Gaussian channels using quantum coherence
• Classical correlation and quantum entanglement in the mixed-spin Ising-XY model with Dzyaloshinskii-Moriya interaction
• Universal upper bounds for Gaussian information capacity
• Optical fibres with memory effects and their quantum communication capacities
• Quantum signal+noise models: beyond i.i.d
• Computable limits of optical multiple-access communications