Bosonic Memory Channels

Abstract

We discuss a Bosonic channel model with memory effects. It relies on a multi-mode squeezed (entangled) environment's state. The case of lossy Bosonic channels is analyzed in detail. We show that in the absence of input energy constraints the memory channels are equivalent to their memoryless counterparts. In the case of input energy constraint we provide lower and upper bounds for the memory channel capacity.

6 pages, 2 figures

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• Quantum Channels with Memory
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• Entanglement-enhanced classical capacity of two-qubit quantum channels with memory: the exact solution
• Capacities of lossy bosonic memory channels
• Master equation for cascade quantum channels: a collisional approach
• Gaussian error correction of quantum states in a correlated noisy channel
• A Lossy Bosonic Quantum Channel with Non-Markovian Memory
• Equivalence Relations for the Classical Capacity of Single-Mode Gaussian Quantum channels
• Capacities of lossy bosonic channel with correlated noise
• Capacity of a bosonic memory channel with Gauss-Markov noise
• Memory effects in attenuation and amplification quantum processes
• Teleportation-Induced Correlated Quantum Channels
• Qubit channels with small correlations
• Methods for Estimating Capacities and Rates of Gaussian Quantum Channels
• Gaussian capacity of the quantum bosonic channel with additive correlated Gaussian noise
• Classical capacity of Gaussian thermal memory channels
• On the transitional behavior of quantum Gaussian memory channels
• Privacy of a lossy bosonic memory channel
• Spin chain model for correlated quantum channels
• Removing correlations in signals transmitted over a quantum memory channel
• Classical capacity of phase-sensitive Gaussian quantum channels
• Transition of D- Level Quantum Systems Through Quantum Channels with Correlated Noise
• Gaussian matrix-product states for coding in bosonic communication channels
• How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
• Entanglement may enhance the channel capacity in arbitrary dimensions
• Photon losses depending on polarization mixedness
• Entanglement enhanced bit rate over multiple uses of a lossy bosonic channel with memory
• The classical capacity for the quantum Markov channel of continuous variables
• Witnessing latent time correlations with a single quantum particle
• Quantum Finite-Depth Memory Channels: Case Study
• The condition for entanglement enhanced information transmission of Pauli memory channel