2003/05/31 by Garry Bowen, Stefano Mancini · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Channel (broadcasting) #Classical capacity #Combinatorics #Computer science #Limit (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum capacity #Quantum channel #Quantum entanglement #Quantum mechanics #Quantum network #Statistical physics #Telecommunications #Topology (electrical circuits) #Upper and lower bounds #quant-ph
paper · pdf · doi:10.1103/physreva.69.012306
published as Phys. Rev. A 69, 012306 (2004) · 7 Pages, RevTex, Jrnl version
openalex publication_date 2004/01/13 · arxiv created 2004/01/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we study quantum communication channels with correlated noise effects, i.e., quantum channels with memory. We derive a model for correlated noise channels that includes a channel memory state. We examine the case where the memory is finite, and derive bounds on the classical and quantum capacities. For the entanglement-assisted and unassisted classical capacities it is shown that these bounds are attainable for certain classes of channel. Also, we show that the structure of any finite-memory state is unimportant in the asymptotic limit, and specifically, for a perfect finite-memory channel where no information is lost to the environment, achieving the upper bound implies that the channel is asymptotically noiseless.