Quantum Computing for Entanglement Asymmetry and the Quantum Mpemba Effect in Field Theory
Abstract
We construct a quantum measurement protocol for estimating the Rényi entanglement asymmetry, which quantifies symmetry breaking at the level of a subsystem and provides a probe of the quantum Mpemba effect. The protocol combines the SWAP test with a charge-resolving procedure based on randomized symmetry rotations. For a fixed additive accuracy ε, the required number of measurements scales as 𝒪(ε−2) without explicit dependence on the total system size, making the protocol particularly attractive for quantum many-body systems and lattice quantum field theories. As a representative application, we study the quantum Mpemba effect in the lattice Schwinger model with a θ term using classical state-vector simulations. We further estimate the resources required to implement the protocol on noisy intermediate-scale quantum (NISQ) devices, fault-tolerant quantum computers (FTQCs), and a representative early-FTQC architecture. Our results provide a measurement-efficient framework for investigating anomalous symmetry-restoration dynamics in quantum many-body systems and quantum field theories.
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BibTeX
@misc{fujii2026quantum,
title = {{Quantum Computing for Entanglement Asymmetry and the Quantum Mpemba Effect in Field Theory}},
author = {Keisuke Fujii and Harunobu Fujimura and Masazumi Honda and Duc Truyen Le},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05987},
eprint = {2611.05987},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05987},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum Computing for Entanglement Asymmetry and the Quantum Mpemba Effect in Field Theory
AU - Keisuke Fujii
AU - Harunobu Fujimura
AU - Masazumi Honda
AU - Duc Truyen Le
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.05987
UR - https://arxiv.org/abs/2611.05987
AB - We construct a quantum measurement protocol for estimating the Rényi entanglement asymmetry, which quantifies symmetry breaking at the level of a subsystem and provides a probe of the quantum Mpemba effect. The protocol combines the SWAP test with a charge-resolving procedure based on randomized symmetry rotations. For a fixed additive accuracy ε, the required number of measurements scales as 𝒪(ε^−2) without explicit dependence on the total system size, making the protocol particularly attractive for quantum many-body systems and lattice quantum field theories. As a representative application, we study the quantum Mpemba effect in the lattice Schwinger model with a θ term using classical state-vector simulations. We further estimate the resources required to implement the protocol on noisy intermediate-scale quantum (NISQ) devices, fault-tolerant quantum computers (FTQCs), and a representative early-FTQC architecture. Our results provide a measurement-efficient framework for investigating anomalous symmetry-restoration dynamics in quantum many-body systems and quantum field theories.
ER -