On the transitional behavior of quantum Gaussian memory channels

Abstract

We address the question of optimality of entangled input states in quantum Gaussian memory channels. For a class of such channels, that can be traced back to the memoryless setting, we state a criterion which relate the optimality of entangled inputs to the symmetry properties of the channels' action. Several examples of channel models belonging to this class are discussed.

Typos corrected, close to the published version. 9 pages, comments are welcome

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Cited by in corpus (8)

• Gaussian Quantum Information
• Quantum channels and memory effects
• Memory effects in attenuation and amplification quantum processes
• Methods for Estimating Capacities and Rates of Gaussian Quantum Channels
• Gaussian capacity of the quantum bosonic channel with additive correlated Gaussian noise
• Removing correlations in signals transmitted over a quantum memory channel
• Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips