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Bosonic autonomous entanglement engines with weak bath coupling are impossible

Bradley LongstaffMichael G. JabbourJonatan Bohr Brask
Dec 2022
摘要
Entanglement is a fundamental feature of quantum physics and a key resourcefor quantum communication, computing and sensing. Entangled states are fragileand maintaining coherence is a central challenge in quantum informationprocessing. Nevertheless, entanglement can be generated and stabilised throughdissipative processes. In fact, entanglement has been shown to exist in thesteady state of certain interacting quantum systems subject solely toincoherent coupling to thermal baths. This has been demonstrated in a range ofbi- and multipartite settings using systems of finite dimension. Here we focuson the steady state of infinite-dimensionsional bosonic systems. Specifically,we consider any set of bosonic modes undergoing excitation-number-preservinginteractions of arbitrary strength and divided between an arbitrary number ofparties that each couple weakly to thermal baths at different temperatures. Weshow that the steady state is always separable.
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