All-optical scalable spatial coherent Ising machine

Abstract

Networks of optical oscillators simulating coupled Ising spins have been recently proposed as a heuristic platform to solve hard optimization problems. These networks, called coherent Ising machines (CIMs), exploit the fact that the collective nonlinear dynamics of coupled oscillators can drive the system close to the global minimum of the classical Ising Hamiltonian, encoded in the coupling matrix of the network. To date, realizations of large-scale CIMs have been demonstrated using hybrid optical-electronic setups, where optical oscillators simulating different spins are subject to electronic feedback mechanisms emulating their mutual interaction. While the optical evolution ensures an ultrafast computation, the electronic coupling represents a bottleneck that causes the computational time to severely depend on the system size. Here, we propose an all-optical scalable CIM with fully-programmable coupling. Our setup consists of an optical parametric amplifier with a spatial light modulator (SLM) within the parametric cavity. The spin variables are encoded in the binary phases of the optical wavefront of the signal beam at different spatial points, defined by the pixels of the SLM. We first discuss how different coupling topologies can be achieved by different configurations of the SLM, and then benchmark our setup with a numerical simulation that mimics the dynamics of the proposed machine. In our proposal, both the spin dynamics and the coupling are fully performed in parallel, paving the way towards the realization of size-independent ultrafast optical hardware for large-scale computation purposes.

7 pages, 3 figures

References in corpus (8)

• Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
• Large-scale photonic Ising machine by spatial light modulation
• Oscillator-based Ising Machine
• Can nonlinear parametric oscillators solve random Ising models?
• Performance evaluation of coherent Ising machines against classical neural networks
• Gaussian Optical Ising Machines
• Generating and detecting entangled cat states in dissipatively coupled degenerate optical parametric oscillators
• Coherent dynamics in frustrated coupled parametric oscillators

Cited by in corpus (13)

• Spontaneous coherence in spatially extended photonic systems: Non-Equilibrium Bose-Einstein condensation
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• Wavelength-division multiplexing optical Ising simulator enabling fully programmable spin couplings and external magnetic fields
• Hyperscaling in the coherent hyperspin machine
• Ising Hamiltonian Minimization: Gain-Based Computing with Manifold Reduction of Soft-Spins vs Quantum Annealing
• Dawn and fall of non-Gaussianity in the quantum parametric oscillator
• Frustration Elimination and Excited State Search in Coherent Ising Machines
• Analogue Spin Simulators: How to keep the Amplitude Homogeneous
• General Oscillator-Based Ising Machine Models with Phase-Amplitude Dynamics and Polynomial Interactions
• Emergent Equilibrium in All-Optical Single Quantum-Trajectory Ising Machines
• Quantum hyperspins: Highly nonclassical collective behavior in quantum optical parametric oscillators
• Charge-Density-Wave Oscillator Networks for Solving Combinatorial Optimization Problems
• Explicitly Quantum-parallel Computation by Displacements