Scalable quantum circuit and control for a superconducting surface code

Abstract

We present a scalable scheme for executing the error-correction cycle of a monolithic surface-code fabric composed of fast-flux-tuneable transmon qubits with nearest-neighbor coupling. An eight-qubit unit cell forms the basis for repeating both the quantum hardware and coherent control, enabling spatial multiplexing. This control uses three fixed frequencies for all single-qubit gates and a unique frequency detuning pattern for each qubit in the cell. By pipelining the interaction and readout steps of ancilla-based $X$- and $Z$-type stabilizer measurements, we can engineer detuning patterns that avoid all second-order transmon-transmon interactions except those exploited in controlled-phase gates, regardless of fabric size. Our scheme is applicable to defect-based and planar logical qubits, including lattice surgery.

9 pages, 8 figures

References in corpus (11)

• Charge insensitive qubit design derived from the Cooper pair box
• Surface codes: Towards practical large-scale quantum computation
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Efficient Z-Gates for Quantum Computing
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Low-distance Surface Codes under Realistic Quantum Noise
• Detecting bit-flip errors in a logical qubit using stabilizer measurements
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

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