Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915601610440704 |
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| author | Pelofske, Elijah |
| author_facet | Pelofske, Elijah |
| contents | 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 $J_1$-$J_2$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2511_03796 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers Pelofske, Elijah Quantum Physics Statistical Mechanics 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 $J_1$-$J_2$ 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. |
| title | Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2511.03796 |