A leakage-resilient approach to fault-tolerant quantum computing with superconducting elements

Abstract

Superconducting qubits, while promising for scalability and long coherence times, contain more than two energy levels, and therefore are susceptible to errors generated by the leakage of population outside of the computational subspace. Such leakage errors constitute a prominent roadblock towards fault-tolerant quantum computing (FTQC) with superconducting qubits. FTQC using topological codes is based on sequential measurements of multiqubit stabilizer operators. Here, we first propose a leakage-resilient procedure to perform repetitive measurements of multiqubit stabilizer operators, and then use this scheme as an ingredient to develop a leakage-resilient approach for surface code quantum error correction with superconducting circuits. Our protocol is based on swap operations between data and ancilla qubits at the end of every cycle, requiring read-out and reset operations on every physical qubit in the system, and thereby preventing persistent leakage errors from occurring.

arXiv comment6 pages, 6 figures. PRA version

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• High-fidelity controlled-Z gate with maximal intermediate leakage operating at the speed limit in a superconducting quantum processor
• Resource costs for fault-tolerant linear optical quantum computing
• Overcoming leakage in scalable quantum error correction
• Quantum Error Correction with Metastable States of Trapped Ions Using Erasure Conversion
• Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
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• Error analysis in suppression of unwanted qubit interactions for a parametric gate in a tunable superconducting circuit
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• Anyon condensation and the color code
• Leakage detection for a transmon-based surface code
• Programmable Heisenberg interactions between Floquet qubits
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