Paper

{
  "raw_xml": "<entry>\n    <id>http://arxiv.org/abs/2603.16509v1</id>\n    <title>Monte Carlo sampling from a projected entangled-pair state in simulations of quantum annealing in the three dimensional random Ising model</title>\n    <updated>2026-03-17T13:37:59Z</updated>\n    <link href='https://arxiv.org/abs/2603.16509v1' rel='alternate' type='text/html'/>\n    <link href='https://arxiv.org/pdf/2603.16509v1' rel='related' title='pdf' type='application/pdf'/>\n    <summary>Quantum annealing with the D-Wave Advantage system in the random Ising model on a cubic lattice is simulated using a three-dimensional (3D) tensor network. The Hamiltonian is driven across a quantum phase transition from a paramagnetic phase to a spin-glass phase. The network is represented as a tensor product state, also known-particularly in two dimensions-as a projected entangled-pair state (PEPS). The annealing procedure is repeated for a range of annealing times in order to test the Kibble-Zurek (KZ) power law governing the residual energy at the end of the annealing ramp. For an infinite lattice with periodic nearest-neighbor random Ising couplings, the final energy is evaluated using a deterministic method. For a finite lattice with open boundaries, we introduce a more efficient Monte Carlo sampling approach. In both cases, the residual energy as a function of annealing time approaches the KZ power law as the annealing time increases.</summary>\n    <category scheme='http://arxiv.org/schemas/atom' term='quant-ph'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='cond-mat.dis-nn'/>\n    <category scheme='http://arxiv.org/schemas/atom' term='cond-mat.str-el'/>\n    <published>2026-03-17T13:37:59Z</published>\n    <arxiv:comment>9 pages, 8 figures</arxiv:comment>\n    <arxiv:primary_category term='quant-ph'/>\n    <author>\n      <name>Jacek Dziarmaga</name>\n    </author>\n  </entry>"
}