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Reference system and not completely positive open quantum dynamics

2017/02/28 by Linta Joseph, Anil Shaji
Computer Science · Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Combinatorics #Computer science #Domain (mathematical analysis) #Dynamics (music) #Mathematical analysis #Mathematics #Open set #Open system (computing) #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum system #Set (abstract data type) #Statistical physics #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physreva.97.032127

published as Phys. Rev. A 97, 032127 (2018) · 9 pages, 4 figures

arxiv created 2018/02/02 · openalex publication_date 2018/03/27 · arxiv updated 2018/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Open quantum dynamics in a tripartite scenario including a system, its environment, and a passive reference is shown to resolve several open questions regarding not completely positive (NCP) dynamical maps as valid descriptions of open quantum evolution. The steering states of the system and the environment with respect to the reference, reduced down to a dense, compact set of states of the system alone, provide a well-defined domain of action for a bonafide dynamical map describing the open evolution of the system. The map is not restricted to being completely positive but it preserves the positivity of all states in its domain. NCP open dynamics corresponding to different initial configurations of the tripartite system are explored.

Citations