2014/09/21 by Yu Guo, Zhaofang Bai, Shuanping Du +1
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Channel (broadcasting) #Product (mathematics) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum capacity #Quantum channel #Quantum operation #Quantum state #Spectral Theory in Mathematical Physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/s0034-4877(14)00025-1
published as Reports on Mathematical Physics, 74, 277-282 (2014) · 4 pages
arxiv created 2014/09/21 · openalex publication_date 2014/12/01 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Product states are always considered as the states that don't contain quantum correlation. We discuss here when a quantum channel sends the product states to themselves. The exact forms of such channels are proposed. It is shown that such a quantum channel is a local quantum channel, a composition of a local quantum channel and a flip operation, or such that one of the local states is fixed. Both finite- and infinite-dimensional systems are considered.