Improved autonomous error correction using variable dissipation in small logical qubit architectures

Abstract

Coherence times for superconducting qubits have greatly improved over time. Moreover, small logical qubit architectures using engineered dissipation have shown great promise for further improvements in the coherence of a logical qubit manifold comprised of few physical qubits. Nevertheless, optimal working parameters for small logical qubits are generally not well understood. This work presents several approaches to finding preferential parameter configurations by looking at three different cases of increasing complexity. We begin by looking at state stabilization of a single qubit using dissipation via coupling to a lossy object. We look at the limiting factors in this approach to error correction, and how we address those by numerically optimizing the parametric coupling strength with the lossy object having an effective time-varying dissipation rate---we call this a pulse-reset cycle. We then translate this approach to more efficient state stabilization to an abstracted three-qubit flip code, and end by looking at the Very Small Logical Qubit (VSLQ). By using these techniques, we can further increase logical state lifetimes for different architectures. We show significant advantages in using a pulse-reset cycle over numerically optimized, fixed parameter spaces.

10 pages, 8 figures, 1 table

References in corpus (17)

• Surface codes: Towards practical large-scale quantum computation
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Using Sideband Transitions for Two-Qubit Operations in Superconducting Circuits
• Demonstrating a Driven Reset Protocol of a Superconducting Qubit
• Microwave-Induced Cooling of a Superconducting Qubit
• Universal stabilization of a parametrically coupled qubit
• Sideband Transitions and Two-Tone Spectroscopy of a Superconducting Qubit Strongly Coupled to an On-Chip Cavity
• Error-transparent operations on a logical qubit protected by quantum error correction
• First-order sidebands in circuit QED using qubit frequency modulation
• Induced self-stabilization in fractional quantum Hall states of light
• Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
• The upside of noise: engineered dissipation as a resource in superconducting circuits
• Dissipation-induced continuous quantum error correction for superconducting circuits
• Universal two-qubit interactions, measurement and cooling for quantum simulation and computing
• Hybrid Quantum Error Correction in Qubit Architectures

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