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Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers

2025/11/05 by Elijah Pelofske, Pelofske, Elijah · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2511.03796

openalex publication_date 2025/11/05 · openalex created_date 2025/11/08 · openalex updated_date 2026/07/28

Abstract

One of the surprising, and potentially very useful, capabilities of analog quantum computers, such as D-Wave quantum annealers, is sampling from the Boltzmann, or Gibbs, distribution defined by a classical Hamiltonian. In this study, we thoroughly examine the ability of D-Wave quantum annealers to sample from the Boltzmann distribution defined of a canonical type of competing magnetic frustration J1-J2 model; the ANNNI (axial next-nearest-neighbor Ising) model. Boltzmann sampling error rate is quantified for standard linear-ramp anneals ranging from 5 nanosecond annealing times up to 2000 microseconds on two different D-Wave quantum annealing processors. Interestingly, we find some analog hardware parameters which result in a very high accuracy (down to a TVD of 0.0003) and low temperature sampling (down to β=32.2) in a frustrated region of the ANNNI model magnetic phase diagram. This bolsters the viability of current analog quantum computers for thermodynamic sampling applications of highly frustrated magnetic spin systems.

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