2006/03/31 by Vahid Karimipour, V. Karimipour, Laleh Memarzadeh +1 · 13 citations
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Channel (broadcasting) #Combinatorics #Computer science #Entropy (arrow of time) #Mathematical analysis #Mathematics #Mutual information #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Separable space #Separable state #Statistical physics #Statistics #Telecommunications #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1103/physreva.74.032332
published in Physical Review A 74(3) (American Physical Society) · 11 pages, Latex, 4 figures, Accepted for publication in Physical Review A
arxiv created 2006/07/20 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct a class of quantum channels in arbitrary dimensions for which entanglement improves the performance of the channel. The channels have correlated noise and when the level of correlation passes a critical value we see a sharp transition in the optimal input states (states which minimize the output entropy) from separable to maximally entangled states. We show that for a subclass of channels with some extra conditions, including the examples which we consider, the states which minimize the output entropy are the ones which maximize the mutual information.