Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates

Abstract

Bosonic codes constitute a promising route to fault-tolerant quantum computing. Existing Floquet protocols enable analytical construction of bosonic codes but typically rely on slow adiabatic ramps with thousands of driving periods. In this work, we circumvent this bottleneck by introducing an analytical and deterministic Floquet method that directly synthesizes arbitrary unitaries within a single period. The phase-space unitary ensembles generated by our approach reproduce the Haar-random statistics, enabling practical pseudorandom states in continuous-variable systems. We prepare various prototypical bosonic codes from vacuum and implement single-qubit logical gates with high fidelities using quantum lattice gates. By harnessing the full intrinsic nonlinearity of Josephson junctions, quantum lattice gates decompose quantum circuits into primitive operations for efficient continuous-variable quantum computing.

References in corpus (28)

• Suppressing quantum errors by scaling a surface code logical qubit
• Real-time quantum error correction beyond break-even
• Fidelity of quantum operations
• A No-Go Theorem for Gaussian Quantum Error Correction
• Bosonic quantum error correction codes in superconducting quantum circuits
• Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator
• Quantum information processing with bosonic qubits in circuit QED
• Quantum control of bosonic modes with superconducting circuits
• One decade of quantum optimal control in the chopped random basis
• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
• Engineering of arbitrary U(N) transformations by quantum Householder reflections
• Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits
• Reducing leakage of single-qubit gates for superconducting quantum processors using analytical control pulse envelopes
• Universal control of a bosonic mode via drive-activated native cubic interactions
• Error per single-qubit gate below $10^{-4}$ in a superconducting qubit
• All-optical quantum computing using cubic phase gates
• Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
• Low-depth Hamiltonian Simulation by Adaptive Product Formula
• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Gottesman-Kitaev-Preskill state preparation using periodic driving
• Adaptive Trotterization for time-dependent Hamiltonian quantum dynamics using piecewise conservation laws
• Continuous-variable quantum state designs: theory and applications
• Engineering Arbitrary Hamiltonians in Phase Space
• Dissipative protection of a GKP qubit in a high-impedance superconducting circuit driven by a microwave frequency comb
• Perturbative Framework for Engineering Arbitrary Floquet Hamiltonian
• Stabilization of cat-state manifolds using nonlinear reservoir engineering
• Engineering Bosonic Codes with Quantum Lattice Gates
• Continuous-variable designs and design-based shadow tomography from random lattices