Surface code with decoherence: An analysis of three superconducting architectures

2012/10/31 by Joydip Ghosh, Austin G. Fowler, Michael R. Geller · 3 citations
Physics and Astronomy · #quant-ph #cond-mat.other #cond-mat.supr-con

paper · pdf · doi:10.1103/physreva.86.062318

published as Phys. Rev. A 86, 062318 (2012) · 14 pages, 12 figures

arxiv created 2012/11/29 · arxiv updated 2012/12/21

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.

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