Dissipative protection of a GKP qubit in a high-impedance superconducting circuit driven by a microwave frequency comb

Abstract

We propose a novel approach to generate, protect and control GKP qubits. It employs a microwave frequency comb parametrically modulating a Josephson circuit to enforce a dissipative dynamics of a high impedance circuit mode, autonomously stabilizing the finite-energy GKP code. The encoded GKP qubit is robustly protected against all dominant decoherence channels plaguing superconducting circuits but quasi-particle poisoning. In particular, noise from ancillary modes leveraged for dissipation engineering does not propagate at the logical level. In a state-of-the-art experimental setup, we estimate that the encoded qubit lifetime could extend two orders of magnitude beyond the break-even point, with substantial margin for improvement through progress in fabrication and control electronics. Qubit initialization, readout and control via Clifford gates can be performed while maintaining the code stabilization, paving the way toward the assembly of GKP qubits in a fault-tolerant quantum computing architecture.

59 pages, 20 figures, 1 table. v3: Updated title matching published version

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Cited by in corpus (6)

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• Quantization of nonlinear non-Hamiltonian systems
• Bosonic quantum Fourier codes
• The complexity of Gottesman-Kitaev-Preskill states
• Single-Period Floquet Control of Bosonic Codes with Quantum Lattice Gates
• A posteriori error estimates for the Lindblad master equation