Fast elementary gates for universal quantum computation with Kerr parametric oscillator qubits
arXiv:2310.20108 · doi:10.1103/PhysRevResearch.6.013192
Abstract
Kerr parametric oscillators (KPOs) can stabilize the superpositions of coherent states, which can be utilized as qubits, and are promising candidates for realizing hardware-efficient quantum computers. Although elementary gates for universal quantum computation with KPO qubits have been proposed, these gates are usually based on adiabatic operations and thus need long gate times, which result in errors caused by photon loss in KPOs realized by, e.g., superconducting circuits. In this work, we accelerate the elementary gates by experimentally feasible control methods, which are based on numerical optimization of pulse shapes for shortcuts to adiabaticity. By numerical simulations, we show that the proposed methods can achieve speedups compared to adiabatic ones by up to six times with high gate fidelities of 99.9%. These methods are thus expected to be useful for quantum computers with KPOs.
arXiv comment14 pages, 10 figures
References in corpus (57)
- Quantum Computing in the NISQ era and beyond
- Variational Quantum Algorithms
- Shortcuts to adiabaticity: concepts, methods, and applications
- Control of quantum phenomena: Past, present, and future
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Hybrid quantum-classical algorithms and quantum error mitigation
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Fidelity of quantum operations
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Exponential suppression of bit-flips in a qubit encoded in an oscillator
- Bifurcation-based adiabatic quantum computation with a nonlinear oscillator network: Toward quantum soft computing
- Bias-preserving gates with stabilized cat qubits
- Exact steady state of a Kerr resonator with one- and two-photon driving and dissipation: Controllable Wigner-function multimodality and dissipative phase transitions
- Fast adiabatic qubit gates using only control
- 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
- Universal quantum computation with a nonlinear oscillator network
- Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators
- Robust quantum optimizer with full connectivity
- Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
- Quantum dynamics of a few-photon parametric oscillator
- Driven-dissipative quantum Kerr resonators: new exact solutions, photon blockade and quantum bistability
- Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
- Spontaneous symmetry breaking in a quadratically-driven nonlinear photonic lattice
- Dissipative quantum bifurcation machine: Quantum heating of coupled nonlinear oscillators
- Interaction-induced time-symmetry breaking in driven quantum oscillators
- A quantum annealer with fully programmable all-to-all coupling via Floquet engineering
- Observation and manipulation of quantum interference in a superconducting Kerr parametric oscillator
- Preparing quasienergy states on demand: A parametric oscillator
- 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
- Spectral kissing and its dynamical consequences in the squeeze-driven Kerr oscillator
- Homodyne versus photon-counting quantum trajectories for dissipative Kerr resonators with two-photon driving
- Gaussian trajectory approach to dissipative phase transitions: the case of quadratically driven photonic lattices
- Stabilizing a Bosonic Qubit using Colored Dissipation
- Quantum Gate for Kerr Nonlinear Parametric Oscillator Using Effective Excited States
- Dynamics of transient cat-states in degenerate parametric oscillation with and without nonlinear Kerr interactions
- Controls of a superconducting quantum parametron under a strong pump field
- Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
- On-Demand Generation of Traveling Cat States Using a Parametric Oscillator
- Wigner negativity in the steady-state output of a Kerr parametric oscillator
- Correlated oscillations in Kerr parametric oscillators with tunable effective coupling
- Simulating frustrated antiferromagnets with quadratically driven QED cavities
- Two-qubit gate using conditional driving for highly detuned Kerr-nonlinear parametric oscillators
- Quantum Correlations in the Kerr Ising Model
- Symmetries of the squeeze-driven Kerr oscillator
- Control of the coupling between Kerr-cat qubits via transmon couplers
- Fast generation of Cat states in Kerr nonlinear resonators via optimal adiabatic control
- Effective spin models of Kerr-nonlinear parametric oscillators for quantum annealing
- Spectroscopic estimation of the photon number for superconducting Kerr parametric oscillators