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      Error threshold estimates for surface code with loss of qubits

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          Abstract

          We estimate optimal thresholds for surface code in the presence of loss via an analytical method developed in statistical physics. The optimal threshold for the surface code is closely related to a special critical point in a finite-dimensional spin glass, which is disordered magnetic material. We compare our estimations to the heuristic numerical results reported in earlier studies. Further application of our method to the depolarizing channel, a natural generalization of the noise model, unveils its wider robustness even with loss of qubits.

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          Most cited references6

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          Error Correcting Codes in Quantum Theory.

          Steane (1996)
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            Fast Decoders for Topological Quantum Codes

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              Thresholds for Topological Codes in the Presence of Loss

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                Author and article information

                Journal
                12 February 2012
                2012-06-04
                Article
                10.1103/PhysRevA.85.060301
                1202.2593
                650b1f77-8de6-459f-babd-3b0e820e7ca0

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                4 pages, 3 figures, 2 tables, title changed
                quant-ph cond-mat.dis-nn cond-mat.stat-mech

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