Thermodynamically Optimal Information Gain in Finite Time Measurement

TL;DR

This paper establishes a fundamental bound on the thermodynamic cost of finite-time measurements, providing an optimal protocol derived via optimal transport theory, with practical implementation insights for quantum dots.

Contribution

It introduces a thermodynamic cost bound for finite-time measurements and presents an explicit optimal protocol based on optimal transport theory, applicable to quantum dot systems.

Findings

Derived an achievable thermodynamic cost bound for finite-time measurements

Identified an explicit optimal measurement protocol using optimal transport theory

Proposed a feasible experimental implementation with quantum dots

Abstract

The tradeoff relation between speed and cost is a central issue in designing fast and efficient information processing devices. We derive an achievable bound on thermodynamic cost for obtaining information through finite-time (non-quasi-static) measurements. Our proof is based on optimal transport theory, which enables us to identify the explicit protocol to achieve the obtained bound. Moreover, we demonstrate that the optimal protocol can be approximately implemented by an experimentally feasible setup with quantum dots. Our results would lead to design principles of high-speed and low-energy-cost information processing.