Deterministic and stochastic sampling of two coupled Kerr parametric oscillators
arXiv:2210.14731 · doi:10.1103/PhysRevResearch.5.L012029
Abstract
The vision of building computational hardware for problem optimization has spurred large efforts in the physics community. In particular, networks of Kerr parametric oscillators (KPOs) are envisioned as simulators for finding the ground states of Ising Hamiltonians. It was shown, however, that KPO networks can feature large numbers of unexpected solutions that are difficult to sample with the existing deterministic (i.e., adiabatic) protocols. In this work, we experimentally realize a system of two classical coupled KPOs, and we find good agreement with the predicted mapping to Ising states. We then introduce a protocol based on stochastic sampling of the system, and we show how the resulting probability distribution can be used to identify the ground state of the corresponding Ising Hamiltonian. This method is akin to a Monte Carlo sampling of multiple out-of-equilibrium stationary states and is less prone to become trapped in local minima than deterministic protocols.
References in corpus (34)
- Ising formulations of many NP problems
- Encoding a qubit in an oscillator
- Sub-Kelvin Parametric Feedback Cooling of a Laser-Trapped Nanoparticle
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- A Coherent Ising Machine Based On Degenerate Optical Parametric Oscillators
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Large-scale Ising spin network based on degenerate optical parametric oscillators
- Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
- Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
- Photon generation in an electromagnetic cavity with a time-dependent boundary
- Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
- Quantum critical regime in a quadratically-driven nonlinear photonic lattice
- Nanophotonic spin-glass for realization of a coherent Ising machine
- An electromechanical Ising machine
- Robust quantum optimizer with full connectivity
- Noise activated switching in a driven, nonlinear micromechanical oscillator
- Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
- Classical many-body time crystals
- Quantum dynamics of a few-photon parametric oscillator
- Activation barrier scaling and crossover for noise-induced switching in a micromechanical parametric oscillator
- Persistent coherent beating in coupled parametric oscillators
- Paths of fluctuation induced switching
- Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
- Parametric symmetry breaking in a nonlinear resonator
- Interaction-induced time-symmetry breaking in driven quantum oscillators
- A Quantum Model for Coherent Ising Machines: Discrete-time Measurement Feedback Formulation
- Boolean Computation Using Self-Sustaining Nonlinear Oscillators
- Resonant symmetry lifting in a parametrically modulated oscillator
- A parametric symmetry breaking transducer
- Activated escape over oscillating barriers: The case of many dimensions
- Rapid flipping of parametric phase states
- Gate-controlled phase switching in a Parametron
- Coherent dynamics in frustrated coupled parametric oscillators
- Extracting the lifetime of a synthetic two-level system
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- Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
- Proliferation of unstable states and their impact on stochastic out-of-equilibrium dynamics
- Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann Machine
- Boltzmann Sampling of Frustrated J1 - J2 Ising Models with Programmable Quantum Annealers