Thermal Efficiency of Quantum Memory Compression
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Quantum coherence allows for reduced-memory simulators of classical processes. We examine the challenges and implications of thermodynamically implementing these simulators as quantum information engines that compress a classical information reservoir. Using recent results on single-shot quantum thermodynamics, we derive a lower bound on the cost of quantum simulators of classical processes, which is achievable in the asymptotic limit. This cost can be directly compared with classical bounds to see how quantum memory compression results in thermodynamic advantage.
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