Adiabatic dressing of quantum enhanced Markov chains

Fuente: arXiv
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Autori principali: Hsieh, Wen Ting, Orfi, Alev, Sels, Dries
Natura: Preprint
Pubblicazione: 2026
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author Hsieh, Wen Ting
Orfi, Alev
Sels, Dries
author_facet Hsieh, Wen Ting
Orfi, Alev
Sels, Dries
contents Quantum-enhanced Markov chain Monte Carlo, a hybrid quantum-classical algorithm in which configurations are proposed by a quantum proposer and accepted or rejected by a classical algorithm, has been introduced as a possible method for robust quantum speedup. Previous work has identified competing factors that limit the algorithm's performance: the quantum dynamics should delocalize the system across a range of classical states to propose configurations beyond the reach of simple classical updates, whereas excessive delocalization produces configurations unlikely to be accepted, slowing the chain's convergence. Here, we show that controlling the degree of delocalization by adiabatically dressing the quench protocol can significantly enhance the Markov gap in paradigmatic spin-glass models.
format Preprint
id arxiv_https___arxiv_org_abs_2603_28076
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Adiabatic dressing of quantum enhanced Markov chains
Hsieh, Wen Ting
Orfi, Alev
Sels, Dries
Quantum Physics
Disordered Systems and Neural Networks
Quantum-enhanced Markov chain Monte Carlo, a hybrid quantum-classical algorithm in which configurations are proposed by a quantum proposer and accepted or rejected by a classical algorithm, has been introduced as a possible method for robust quantum speedup. Previous work has identified competing factors that limit the algorithm's performance: the quantum dynamics should delocalize the system across a range of classical states to propose configurations beyond the reach of simple classical updates, whereas excessive delocalization produces configurations unlikely to be accepted, slowing the chain's convergence. Here, we show that controlling the degree of delocalization by adiabatically dressing the quench protocol can significantly enhance the Markov gap in paradigmatic spin-glass models.
title Adiabatic dressing of quantum enhanced Markov chains
topic Quantum Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2603.28076