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

References in corpus (8)

• Multi-mode bosonic Gaussian channels
• Quantum entanglement enhances the capacity of bosonic channels with memory
• Entanglement enhanced classical capacity of quantum communication channels with correlated noise in arbitrary dimensions
• A Lossy Bosonic Quantum Channel with Non-Markovian Memory
• Not-so-normal mode decomposition
• Capacities of lossy bosonic channel with correlated noise
• Qubit channels with small correlations
• Forgetfulness of continuous Markovian quantum channels