Resilience of Surface Codes and Quantum Error Correction
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2023
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Haverford College. Department of Computer Science
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Thesis
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eng
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Bi-College users only
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Abstract
The standard circuit-level noise model in quantum error correction is typically used to model the noise experienced by the qubits in quantum computation. However, error bursts—noise during a single timestep that occurs with high probability—can occur when qubits are exposed to cosmic rays or during the transduction process required for transmission over a quantum network. In this work, we use Stim and PyMatching’s Minimum Weight Perfect Matching (MWPM) decoder to simulate and analyze the performance of the surface code against error bursts. We describe a model of the logical error rate that accounts for error bursts and demonstrate the effect of an error burst on the logical error rate. We also estimate the accuracy threshold for error bursts and produce a phase diagram for the accuracy threshold with respect to the error burst rate and physical error rate.