Thermal Efficiency of Quantum Memory Compression

Abstract

Quantum coherence allows for reduced-memory simulators of classical processes. Using recent results in single-shot quantum thermodynamics, we derive a minimal work cost rate for quantum simulators that is quasistatically attainable in the limit of asymptotically-infinite parallel simulation. Comparing this cost with the classical regime reveals that quantizing classical simulators not only results in memory compression but also in reduced dissipation. We explore this advantage across a suite of representative examples.

7 pages, 3 figures; Supplementary material: 8 pages, 1 figure; http://csc.ucdavis.edu/~cmg/compmech/pubs/qmcate.htm

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• First and Second Laws of Information Processing by Nonequilibrium Dynamical States
• The fundamental thermodynamic bounds on finite models
• Predictive complexity of quantum subsystems
• Ideal stochastic process modeling with post-quantum quasiprobabilistic theories
• Energetic advantages for quantum agents in online execution of complex strategies