Multidimensional hyperspin machine

Abstract

From condensed matter to quantum chromodynamics, multidimensional spins are a fundamental paradigm, with a pivotal role in combinatorial optimization and machine learning. Machines formed by coupled parametric oscillators can simulate spin models, but only for Ising or low-dimensional spins. Currently, machines implementing arbitrary dimensions remain a challenge. Here, we introduce and validate a hyperspin machine to simulate multidimensional continuous spin models. We realize high-dimensional spins by pumping groups of parametric oscillators, and study NP-hard graphs of hyperspins. The hyperspin machine can interpolate between different dimensions by tuning the coupling topology, a strategy that we call "dimensional annealing". When interpolating between the XY and the Ising model, the dimensional annealing impressively increases the success probability compared to conventional Ising simulators. Hyperspin machines are a new computational model for combinatorial optimization. They can be realized by off-the-shelf hardware for ultrafast, large-scale applications in classical and quantum computing, condensed-matter physics, and fundamental studies.

11 pages, 7 figures. This preprint version of the paper is a pre-submission version, which has not undergone peer review. For the published version, please see Nature Communications 13, 7248 (2022)

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Cited by in corpus (9)

• Hyperscaling in the coherent hyperspin machine
• Combinatorial optimization solving by coherent Ising machines based on spiking neural networks
• Dawn and fall of non-Gaussianity in the quantum parametric oscillator
• Frustration Elimination and Excited State Search in Coherent Ising Machines
• 10-GHz-clock time-multiplexed non-degenerate optical parametric oscillator network with a variable planar lightwave circuit interferometer
• Equalized Hyperspin Machine
• Entanglement-assisted variational algorithm for discrete optimization problems
• Quantum hyperspins: Highly nonclassical collective behavior in quantum optical parametric oscillators
• Nonlinearity-driven Topology via Spontaneous Symmetry Breaking