Surface code with decoherence: An analysis of three superconducting architectures

Abstract

We consider realistic, multi-parameter error models and investigate the performance of the surface code for three possible fault-tolerant superconducting quantum computer architectures. We map amplitude and phase damping to a diagonal Pauli "depolarization" channel via the Pauli twirl approximation, and obtain the logical error rate as a function of the qubit T1, T2 and state preparation, gate, and readout errors. A numerical Monte Carlo simulation is performed to obtain the logical error rates and a leading-order analytic formula is derived to estimate their behavior below threshold. Our results suggest that scalable fault-tolerant quantum computation should be possible with existing superconducting devices.

14 pages, 12 figures

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• Topological quantum computing with a very noisy network and local error rates approaching one percent
• Efficient Algorithms for Maximum Likelihood Decoding in the Surface Code
• High-Fidelity Single-Shot Toffoli Gate via Quantum Control
• A leakage-resilient approach to fault-tolerant quantum computing with superconducting elements
• Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
• Quantum circuit optimization by topological compaction in the surface code
• Resource optimization for fault-tolerant quantum computing
• Improving quantum gate performance through neighboring optimal control
• Mapping of Topological Quantum Circuits to Physical Hardware