Dynamic thermalization on noisy quantum hardware

Fuente: arXiv
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Autori principali: Perrin, H., Scoquart, T., Pavlov, A. I., Gnezdilov, N. V.
Natura: Preprint
Pubblicazione: 2024
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author Perrin, H.
Scoquart, T.
Pavlov, A. I.
Gnezdilov, N. V.
author_facet Perrin, H.
Scoquart, T.
Pavlov, A. I.
Gnezdilov, N. V.
contents Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. However, thermalization typically requires a large system size due to incorporating a thermal bath, whilst limited resources of near-term digital quantum processors allow for simulating relatively small systems. We show that thermal observables and fluctuations may be obtained for a small closed system without a thermal bath. Thermal observables occur upon classically averaging quantum mechanical observables over randomized variants of their time evolution that run independently on a digital quantum processor. Using an IBM quantum computer, we experimentally find thermal occupation probabilities with finite positive and negative temperatures defined by the initial state's energy. Averaging over random evolutions facilitates error mitigation, with the noise contributing to the temperature in the simulated observables. This result fosters probing the dynamical emergence of equilibrium properties of matter at finite temperatures on noisy intermediate-scale quantum hardware.
format Preprint
id arxiv_https___arxiv_org_abs_2407_04770
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dynamic thermalization on noisy quantum hardware
Perrin, H.
Scoquart, T.
Pavlov, A. I.
Gnezdilov, N. V.
Quantum Physics
Statistical Mechanics
Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. However, thermalization typically requires a large system size due to incorporating a thermal bath, whilst limited resources of near-term digital quantum processors allow for simulating relatively small systems. We show that thermal observables and fluctuations may be obtained for a small closed system without a thermal bath. Thermal observables occur upon classically averaging quantum mechanical observables over randomized variants of their time evolution that run independently on a digital quantum processor. Using an IBM quantum computer, we experimentally find thermal occupation probabilities with finite positive and negative temperatures defined by the initial state's energy. Averaging over random evolutions facilitates error mitigation, with the noise contributing to the temperature in the simulated observables. This result fosters probing the dynamical emergence of equilibrium properties of matter at finite temperatures on noisy intermediate-scale quantum hardware.
title Dynamic thermalization on noisy quantum hardware
topic Quantum Physics
Statistical Mechanics
url https://arxiv.org/abs/2407.04770