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Finite-temperature criticality through quantum annealing

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arxiv 2507.07167 v1 pith:CJ3LNPV6 submitted 2025-07-09 cond-mat.stat-mech quant-ph

Finite-temperature criticality through quantum annealing

classification cond-mat.stat-mech quant-ph
keywords criticaltemperaturecriticalityfinitequantumannealersbroadfinite-temperature
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Critical phenomena at finite temperature underpin a broad range of physical systems, yet their study remains challenging due to computational bottlenecks near phase transitions. Quantum annealers have attracted significant interest as a potential tool for accessing finite temperature criticality beyond classical reach, but their utility in precisely resolving criticality has remained limited by noise, hardware constraints, and thermal fluctuations. Here we overcome these challenges, showing that careful calibration and embedding allow quantum annealers to capture the full finite-temperature critical behavior of the paradigmatic two-dimensional Ising ferromagnet. By tuning the energy scale of the system and mitigating device asymmetries, we sample effective Boltzmann distributions and extract both the critical temperature and the associated critical exponents. Our approach opens the study of equilibrium and non-equilibrium critical phenomena in a broad class of systems at finite temperature.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Subsystem relaxation and a calibrated sampling diagnostic for programmable quantum annealers

    quant-ph 2026-05 unverdicted novelty 6.0

    A subsystem-environment protocol on programmable quantum annealers identifies conditions for initial-state independence and supplies a diagnostic for reliable open-system sampling.

  2. Schedule-dependent basin occupation in a programmable quantum annealer

    quant-ph 2026-05 unverdicted novelty 5.0

    Cycled reverse annealing on D-Wave devices produces autocorrelation bracketed between parallel tempering and simulated quantum annealing references, showing schedule-dependent basin occupation on specific Ising instances.

  3. Schedule-dependent basin occupation in a programmable quantum annealer

    quant-ph 2026-05 unverdicted novelty 5.0

    Cycled reverse annealing on D-Wave devices shows schedule-dependent basin occupation with hardware autocorrelations bracketed between classical and quantum equilibrium references, and a pre-registered linear landscape...