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• W3100731715 startingPage "3492" @default.
• W3100731715 abstract "We consider complete positivity of dynamics regarding subsystems of an open composite quantum system, which is subject of a completely positive dynamics. By completely positive dynamics, we assume the dynamical maps called the completely positive and trace preserving maps, with the constraint that domain of the map is the whole Banach space of the system's density matrices. We provide a technically simple and conceptually clear proof for the subsystems' completely positive dynamics. Actually, we prove that every subsystem of a composite open system can be subject of a completely positive dynamics if and only if the initial state of the composite open system is tensor-product of the initial states of the subsystems. An algorithm for obtaining the Kraus form for the subsystem's dynamical map is provided. As an illustrative example we consider a pair of mutually interacting qubits. The presentation is performed such that a student with the proper basic knowledge in quantum mechanics should be able to reproduce all the steps of the calculations." @default.
• W3100731715 created "2020-11-23" @default.
• W3100731715 creator A5039520930 @default.
• W3100731715 creator A5042638730 @default.
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• W3100731715 date "2018-09-03" @default.
• W3100731715 modified "2023-10-16" @default.
• W3100731715 title "Complete Positivity on the Subsystems Level" @default.
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• W3100731715 doi "https://doi.org/10.1007/s10773-018-3864-6" @default.
• W3100731715 hasPublicationYear "2018" @default.
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