2007/02/28 by Martin B. Plenio, M. B. Plenio, S. Virmani · 82 citations
Computer Science · Physics and Astronomy · #Channel (broadcasting) #Computer science #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Speculation #Spin (aerodynamics) #Statistical physics #Telecommunications #quant-ph
paper · pdf · doi:10.1103/physrevlett.99.120504
published in Physical Review Letters 99(12), 120504 (American Physical Society) · V2: changes in presentation, some additional comments on generalisation. V3: In accordance with published version, most (but not all) details of proofs now included. A separate paper will shortly be submitted separately with all details and more results
openalex publication_date 2007/09/20 · arxiv created 2007/10/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In most studies of quantum channels, it is assumed that the errors in each use of the channel are independent. However, recent investigations of the effect of memory or correlations in error have led to speculation that nonanalytic behavior may occur in the capacity. Motivated by these observations, we connect the study of channels with correlated error to the study of many-body systems. This enables us to use many-body theory to solve some interesting models of correlated error. These models can display nonanalyticities analogous to quantum phase transitions.