Quantum Mpemba Effect in Non-Equilibrium Quantum Thermometry

TL;DR

This paper explores the quantum Mpemba effect in non-equilibrium quantum thermometry, demonstrating that certain initial states can thermalize faster and improve temperature estimation in quantum systems.

Contribution

It establishes a fundamental link between QMpE and quantum thermometry, showing that optimal thermometry states exhibit the effect and thermalize rapidly.

Findings

Optimal thermometry states exhibit QMpE with high probability.

QMpE can be used to enhance quantum temperature estimation.

Fast thermalization of certain states improves thermometry accuracy.

Abstract

The quantum Mpemba effect (QMpE) describes an anomalous thermalization phenomenon in which quantum states initially far from equilibrium can approach thermal equilibrium faster than states that begin closer to it. While this effect has been extensively studied in various frameworks, its practical implications for quantum information processing remain largely unexplored. We investigate the relationship between QMpE and quantum thermometry, focusing on non-equilibrium scenarios where measurements are performed during early-stage thermalization. In a Markovian model, we rigorously prove that the initial states that are optimal for thermometry exhibit QMpE with high probability and thermalize faster than most initial states. Our results reveal a fundamental connection between quantum thermodynamics and thermometry, suggesting that QMpE can be harnessed to enhance temperature estimation with quantum probes.