A temperature-conditioned diffusion model trained on small XY lattices produces accurate larger-lattice samples and cuts MCMC thermalization time by roughly 10x.
Simulating the classical XY model with a laser network
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abstract
Drawing fair samples from the Boltzmann distribution of a statistical model is a challenging task for modern digital computers. We propose a physical implementation of a Boltzmann sampler for the classical XY model by using a laser network. The XY spins are mapped onto the phases of multiple laser pulses in a fiber ring cavity and the steady-state distribution of phases naturally realizes the Boltzmann distribution of the corresponding XY model. We experimentally implement the laser network by using an actively mode-locked fiber laser with optical delay lines, and demonstrate Boltzmann sampling for a one-dimensional XY ring.
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Two dissipatively coupled NOPOs satisfy the HZ1 entanglement criterion when pumped far above threshold with dissipative coupling larger than cavity loss.
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Diffusion-warm sampling of the XY model enables fast thermalization at scale
A temperature-conditioned diffusion model trained on small XY lattices produces accurate larger-lattice samples and cuts MCMC thermalization time by roughly 10x.
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Steady-state squeezing and entanglement in a dissipatively coupled NOPO network
Two dissipatively coupled NOPOs satisfy the HZ1 entanglement criterion when pumped far above threshold with dissipative coupling larger than cavity loss.