Memory effects in attenuation and amplification quantum processes

Abstract

With increasing communication rates via quantum channels, memory effects become unavoidable whenever the use rate of the channel is comparable to the typical relaxation time of the channel environment. We introduce a model of a bosonic memory channel, describing correlated noise effects in quantum-optical processes via attenuating or amplifying media. To study such a channel model, we make use of a proper set of collective field variables, which allows us to unravel the memory effects, mapping the n-fold concatenation of the memory channel to a unitarily equivalent, direct product of n single-mode bosonic channels. We hence estimate the channel capacities by relying on known results for the memoryless setting. Our findings show that the model is characterized by two different regimes, in which the cross correlations induced by the noise among different channel uses are either exponentially enhanced or exponentially reduced.

10 pages, 7 figures, close to the published version

References in corpus (19)

• Quantum interface between light and atomic ensembles
• High-fidelity transmission of entanglement over a high-loss freespace channel
• Quantum Capacities of Bosonic Channels
• Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
• Quantum Capacity of a dephasing channel with memory
• Degradability of Bosonic Gaussian channels
• Spin chains and channels with memory
• Coding Theorem for a Class of Quantum Channels with Long-Term Memory
• Memory Effects in Spin Chain Channels for Information Transmission
• Decomposing a pulsed optical parametric amplifier into independent squeezers
• Capacities of lossy bosonic memory channels
• Many body physics and the capacity of quantum channels with memory
• Capacities of lossy bosonic channel with correlated noise
• Teleportation-Induced Correlated Quantum Channels
• Forgetfulness of continuous Markovian quantum channels
• On the transitional behavior of quantum Gaussian memory channels
• Spin chain model for correlated quantum channels
• Effects of imperfect noise correlations on decoherence-free subsystems: SU(2) diffusion model
• Communication Through a Quantum Link

Cited by in corpus (11)

• Quantum channels and memory effects
• Master equations for correlated quantum channels
• Divisibility of quantum dynamical maps and collision models
• Master equation for cascade quantum channels: a collisional approach
• Classical capacity of Gaussian thermal memory channels
• Enhanced Quantum Communication via Optical Refocusing
• Capacities of linear quantum optical systems
• Removing correlations in signals transmitted over a quantum memory channel
• Optical fibres with memory effects and their quantum communication capacities
• Decoherence and Quantum Error Correction for Quantum Computing and Communications
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips