Thermodynamically Optimal Information Gain in Finite Time Measurement

Understand

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.