Machine learning the arrow of time in solid-state spins

Fuente: arXiv
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Auteurs principaux: Meng, Xiang-Qian, Lu, Zhide, Lu, Ya-Nan, Chang, Xiu-Ying, Liu, Yan-Qing, Yuan, Dong, Li, Weikang, Sun, Zheng-Zhi, Shen, Pei-Xin, Duan, Lu-Ming, Deng, Dong-Ling, Hou, Pan-Yu
Format: Preprint
Publié: 2026
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author Meng, Xiang-Qian
Lu, Zhide
Lu, Ya-Nan
Chang, Xiu-Ying
Liu, Yan-Qing
Yuan, Dong
Li, Weikang
Sun, Zheng-Zhi
Shen, Pei-Xin
Duan, Lu-Ming
Deng, Dong-Ling
Hou, Pan-Yu
author_facet Meng, Xiang-Qian
Lu, Zhide
Lu, Ya-Nan
Chang, Xiu-Ying
Liu, Yan-Qing
Yuan, Dong
Li, Weikang
Sun, Zheng-Zhi
Shen, Pei-Xin
Duan, Lu-Ming
Deng, Dong-Ling
Hou, Pan-Yu
contents Understanding the emergence of the thermodynamic arrow of time in microscopic systems is of fundamental importance, particularly given that unitary evolution preserves time-reversal symmetry. While projective measurements introduce temporal irreversibility, identifying this asymmetry from single evolution trajectories in the presence of stochastic fluctuations presents a considerable challenge. Here, we harness machine learning to identify the arrow of time from individual trajectories generated by a programmable ten-qubit quantum processor based on a nitrogen-vacancy center in diamond. We implement quantum circuits that realize unitary evolutions where heat flows from hotter to colder subsystems and their time-reversed counterparts. Projective measurements inserted in these processes induce entropy production, and their outcomes constitute the evolution trajectory. We demonstrate that an unsupervised clustering algorithm autonomously divides the experimental trajectories into two distinct groups without prior knowledge, while a convolutional neural network identifies the temporal direction of these trajectories with approximately 92% accuracy. In addition, we show that a diffusion-based generative model reproduces essential signatures of directional energy flow and entropy production. Our results establish machine learning as a powerful tool for uncovering underlying physical processes from complex experimental data, advancing the interface between quantum thermodynamics and artificial intelligence.
format Preprint
id arxiv_https___arxiv_org_abs_2603_10344
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Machine learning the arrow of time in solid-state spins
Meng, Xiang-Qian
Lu, Zhide
Lu, Ya-Nan
Chang, Xiu-Ying
Liu, Yan-Qing
Yuan, Dong
Li, Weikang
Sun, Zheng-Zhi
Shen, Pei-Xin
Duan, Lu-Ming
Deng, Dong-Ling
Hou, Pan-Yu
Quantum Physics
Understanding the emergence of the thermodynamic arrow of time in microscopic systems is of fundamental importance, particularly given that unitary evolution preserves time-reversal symmetry. While projective measurements introduce temporal irreversibility, identifying this asymmetry from single evolution trajectories in the presence of stochastic fluctuations presents a considerable challenge. Here, we harness machine learning to identify the arrow of time from individual trajectories generated by a programmable ten-qubit quantum processor based on a nitrogen-vacancy center in diamond. We implement quantum circuits that realize unitary evolutions where heat flows from hotter to colder subsystems and their time-reversed counterparts. Projective measurements inserted in these processes induce entropy production, and their outcomes constitute the evolution trajectory. We demonstrate that an unsupervised clustering algorithm autonomously divides the experimental trajectories into two distinct groups without prior knowledge, while a convolutional neural network identifies the temporal direction of these trajectories with approximately 92% accuracy. In addition, we show that a diffusion-based generative model reproduces essential signatures of directional energy flow and entropy production. Our results establish machine learning as a powerful tool for uncovering underlying physical processes from complex experimental data, advancing the interface between quantum thermodynamics and artificial intelligence.
title Machine learning the arrow of time in solid-state spins
topic Quantum Physics
url https://arxiv.org/abs/2603.10344