Non-thermal quantum channels as a thermodynamical resource

Abstract

Quantum thermodynamics can be understood as a resource theory, whereby thermal states are free and the only allowed operations are unitary transformations commuting with the total Hamiltonian of the system. Previous literature on the subject has just focused on transformations between different state resources, overlooking the fact that quantum operations which do not commute with the total energy also constitute a potentially valuable resource. In this Letter, given a number of non-thermal quantum channels, we study the problem of how to integrate them in a thermal engine so as to distill a maximum amount of work. We find that, in the limit of asymptotically many uses of each channel, the distillable work is an additive function of the considered channels, computable for both finite dimensional quantum operations and bosonic channels. We apply our results to bound the amount of distillable work due to the natural non-thermal processes postulated in the Ghirardi-Rimini-Weber (GRW) collapse model. We find that, although GRW theory predicts the possibility to extract work from the vacuum at no cost, the power which a \emph{collapse engine} could in principle generate is extremely low.

arXiv commentFinal version, to appear in PRL

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• Computing Quantum Channel Capacities
• Toward physical realizations of thermodynamic resource theories
• Dependence of integrated, instantaneous, and fluctuating entropy production on the initial state in quantum and classical processes
• Thermodynamic Implementations of Quantum Processes
• Thermodynamically free quantum measurements
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Channels, measurements and post-selection in quantum thermodynamics
• Quantum processes as thermodynamic resources: the role of non-Markovianity
• Operational Interpretation of the Choi Rank Through k-State Exclusion