Correlated oscillations in Kerr parametric oscillators with tunable effective coupling

Abstract

We study simultaneous parametric oscillations in a system composed of two distributed-element-circuit Josephson parametric oscillators in the single-photon Kerr regime coupled via a static capacitance. The energy of the system is described by a two-bit Ising Hamiltonian with an effective coupling whose amplitude and sign depend on the relative phase between parametric pumps. We demonstrate that the binary phases of the parametric oscillations are correlated with each other, and that the parity and strength of the correlation can be controlled by adjusting the pump phase. The observed correlation is reproduced in our simulation taking pure dephasing into account. The present result demonstrates the tunability of the Hamiltonian parameters by the phase of external microwave, which can be used in the Ising machine hardware composed of the KPO network.

arXiv comment11 pages, 11 figures

References in corpus (27)

• Ising formulations of many NP problems
• Quantum Annealing in the Transverse Ising Model
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
• 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
• Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
• Coherent quantum annealing in a programmable 2000-qubit Ising chain
• Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
• Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
• Scaling advantage in quantum simulation of geometrically frustrated magnets
• Universal quantum computation with a nonlinear oscillator network
• Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
• Coherent coupled qubits for quantum annealing
• Robust quantum optimizer with full connectivity
• Quantum dynamics of a few-photon parametric oscillator
• A quantum parametric oscillator with trapped ions
• Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
• Quantum heating of a parametrically modulated oscillator: spectral signatures
• A quantum annealer with fully programmable all-to-all coupling via Floquet engineering
• High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions
• Two-photon driven Kerr resonator for quantum annealing with three-dimensional circuit QED
• Quantum Heating of a nonlinear resonator probed by a superconducting qubit
• Chaos in coupled Kerr-nonlinear parametric oscillators
• On-Demand Generation of Traveling Cat States Using a Parametric Oscillator
• Quantum Correlations in the Kerr Ising Model

Cited by in corpus (10)

• Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
• Control of the $ZZ$ coupling between Kerr-cat qubits via transmon couplers
• Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
• Engineering the Nonlinearity of Bosonic Modes with a Multi-loop SQUID
• Landau-Zener without a Qubit: Unveiling Multiphoton Interference, Synthetic Floquet Dimensions, and Dissipative Quantum Chaos
• Unraveling the switching dynamics in a quantum double-well potential
• Three Strongly Coupled Kerr Parametric Oscillators Forming a Boltzmann Machine
• Phase transitions, symmetries, and tunneling in Kerr parametric oscillators
• Quantum annealing in capacitively coupled Kerr parametric oscillators using frequency-chirped drives
• Practical hybrid decoding scheme for parity-encoded spin systems