Information Fluctuation Theorem for an Open Quantum Bipartite System

• URL: http://arxiv.org/abs/2005.10523v1
• Date: Thu, 21 May 2020 08:52:49 GMT
• Title: Information Fluctuation Theorem for an Open Quantum Bipartite System
• Authors: Jung Jun Park, Hyunchul Nha, Sang Wook Kim, and Vlatko Vedral
• Abstract summary: We study an arbitrary non-equilibrium dynamics of a quantum bipartite system coupled to a reservoir. We designate the local and the global states altogether in the time-forward and the time-reversed transition probabilities.
• Score: 7.794211366198158
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study an arbitrary non-equilibrium dynamics of a quantum bipartite system coupled to a reservoir. For its characterization, we present a fluctuation theorem (FT) that explicitly addresses the quantum correlation of subsystems during the thermodynamic evolution. To our aim, we designate the local and the global states altogether in the time-forward and the time-reversed transition probabilities. In view of the two-point measurement scheme, only the global states are subject to measurements whereas the local states are used only as an augmented information on the composite system. We specifically derive a FT in such a form that relates the entropy production of local systems in the time-forward transition to the change of quantum correlation in the time-reversed transition. This also leads to a useful thermodynamic inequality and we illustrate its advantage by an example of an isothermal process on Werner states.

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