Thermal Efficiency of Quantum Memory Compression

TL;DR

This paper demonstrates that quantum memory compression not only reduces memory requirements but also decreases dissipation, offering a thermodynamic advantage over classical simulators in simulating classical processes.

Contribution

It introduces a minimal work cost rate for quantum simulators based on recent quantum thermodynamics results, highlighting thermodynamic benefits of quantum over classical simulation.

Findings

Quantum simulators achieve memory compression.

Quantum simulators exhibit reduced dissipation.

Quantum advantage demonstrated across examples.

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.