Avoiding irreversibility: engineering resonant conversions of quantum resources

TL;DR

This paper investigates how to engineer quantum resource conversions to minimize irreversibility caused by finite-size effects, enabling more efficient quantum information processing and thermal machines.

Contribution

It introduces methods to suppress irreversibility in quantum resource interconversions through careful process engineering, supported by theoretical expansions and numerical optimizations.

Findings

Finite-size effects cause irreversibility in resource conversions.

Engineering the process can greatly reduce resource losses.

Higher order expansions predict improved conversion fidelity.

Abstract

We identify and explore the intriguing property of resource resonance arising within resource theories of entanglement, coherence and thermodynamics. While the theories considered are reversible asymptotically, the same is generally not true in realistic scenarios where the available resources are bounded. The finite-size effects responsible for this irreversibility could potentially prohibit small quantum information processors or thermal machines from achieving their full potential. Nevertheless, we show here that by carefully engineering the resource interconversion process any such losses can be greatly suppressed. Our results are predicted by higher order expansions of the trade-off between the rate of resource interconversion and the achieved fidelity, and are verified by exact numerical optimizations of appropriate approximate majorization conditions.