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Description
The quantum Mpemba effect is a counterintuitive phenomenon in which a state with more strongly broken symmetry initially relaxes faster toward symmetry restoration. This phenomenon has recently attracted significant attention across various fields, including condensed matter physics, high-energy physics, and quantum information science. However, investigate the quantum Mpemba effect requires simulating non-equilibrium dynamics, which is challenging for quantum systems with a large number of degrees of freedom.
In this work, we propose a quantum algorithm to efficiently estimate the quantum Mpemba effect. Our protocol combines the SWAP test with ideas from quantum phase estimation, and the required number of measurements is independent of the system size. This feature makes the method suitable for studying large quantum many-body systems and quantum field theories. As an application, we consider the lattice Schwinger model with a $\theta$ term and demonstrate that our approach enables the study of the quantum Mpemba effect in a quantum field theory setting.