Four-body coupler for superconducting qubits based on Josephson parametric oscillators
arXiv:2501.03578 · doi:10.1103/PhysRevA.111.062612
Abstract
We theoretically propose a circuit of the four-body coupler for superconducting qubits based on Josephson parametric oscillators (JPOs). Our coupler for the four-body interaction has a superconducting loop, similar to a capacitively shunted flux qubit, where an external magnetic flux set to half a flux quantum is threaded. This coupler circuit is a specific setup of the circuit called superconducting nonlinear asymmetric inductive elements (SNAIL) and also is a generalization of the previously proposed one for the four-body interaction of JPOs. We clarify roles of circuit parameters in the four-body interaction and, in particular, show that the four-body coupling constant in our circuit can be significantly increased by tuning capacitance of the coupler or the area ratio of the Josephson junctions of the coupler.
References in corpus (49)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Strong quantum computational advantage using a superconducting quantum processor
- Schrieffer-Wolff transformation for quantum many-body systems
- The Bravyi-Kitaev transformation for quantum computation of electronic structure
- Perspectives of quantum annealing: Methods and implementations
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
- Introduction to Quantum Electromagnetic Circuits
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Persistent current in superconducting nanorings
- Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
- 3-Wave Mixing Josephson Dipole Element
- Bias-preserving gates with stabilized cat qubits
- Quantum annealing with a network of all-to-all connected, two-photon driven Kerr nonlinear oscillators
- Simulating open quantum systems: from many-body interactions to stabilizer pumping
- Josephson traveling-wave parametric amplifier with three-wave mixing
- Universal quantum computation with a nonlinear oscillator network
- Circuit quantization in the presence of time-dependent external flux
- A Coherent Quantum Annealer with Rydberg Atoms
- Quantum dynamics of a few-photon parametric oscillator
- Circuit design for multi-body interactions in superconducting quantum annealing system with applications to a scalable architecture
- Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
- Stabilisers as a design tool for new forms of Lechner-Hauke-Zoller Annealer
- Quantum optimization via four-body Rydberg gates
- Scaling overhead of embedding optimization problems in quantum annealing
- 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
- Stabilizing a Bosonic Qubit using Colored Dissipation
- Quantum Gate for Kerr Nonlinear Parametric Oscillator Using Effective Excited States
- Rydberg blockade based parity quantum optimization
- Engineering Purely Nonlinear Coupling with the Quarton
- Error correction for encoded quantum annealing
- Variational optimization of the quantum annealing schedule for the Lechner-Hauke-Zoller scheme
- Controls of a superconducting quantum parametron under a strong pump field
- Parity Quantum Optimization: Compiler
- Simulated Quantum Annealing with Two All-to-All Connectivity Schemes
- Programmable Superpositions of Ising Configurations
- Modular Parity Quantum Approximate Optimization
- Superconducting flux qubit with ferromagnetic Josephson -junction operating at zero magnetic field
- Parity Quantum Optimization: Benchmarks
- Quantum phase transition with inhomogeneous driving in the Lechner-Hauke-Zoller model
- Minimal Constraints in the Parity Formulation of Optimization Problems
- Parity Quantum Optimization: Encoding Constraints
- Optimal, hardware native decomposition of parameterized multi-qubit Pauli gates
- A Josephson Parametric Oscillator-Based Ising Machine
- Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term
- Designing ground states of Hopfield networks for quantum state preparation
- Constructive plaquette compilation for the parity architecture
- Flexible constraint compilation in the parity architecture