2010/05/31 by Cosmo Lupo, Vittorio Giovannetti, Stefano Mancini · 20 citations
Computer Science · Mathematics · Physics and Astronomy · #Arithmetic #Attenuation #Channel (broadcasting) #Computer science #Concatenation (mathematics) #Exponential growth #Mathematics #Noise (video) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum information #Quantum mechanics #Quantum optics and atomic interactions #Set (abstract data type) #Statistical physics #Telecommunications #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.82.032312
published in Physical Review A 82(3) (American Physical Society) · 10 pages, 7 figures, close to the published version
openalex publication_date 2010/09/14 · arxiv created 2010/10/05 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.