Processing defects movements in surface codes
Anatoly V. Antipov1,2, Evgeniy O. Kiktenko1,2, Alexey K. Fedorov1,2; 1Russian Quantum Center, Moscow, Russia; 2National University of Science and Technology MISIS, Moscow, Russia
Abstract
Movements of defects within a surface code architecture represent a tool for realizing universal fault-tolerant quantum computation. While various schemes for processing logical states through defect movements have been proposed, a comprehensive theoretical description of these schemes remains absent. In particular, there are no clear instructions on how to properly define powers in byproduct operators. In this work, we present a series of theoretical clarifications that offer a structured and coherent description of how a system evolves under the influence of defect movements. These results allow to derive powers of byproduct operators and describe the evolution of a system under defect movements in more general settings beyond the well-known schemes. In addition, we introduce a simple interface for creating, executing, and post-processing quantum circuits designed to implement surface codes with defects. The interface includes tools for error-protected initialization of logical qubits, execution of logical operations, and measurements of logical qubits.
Speaker
Anatoly Antipov
Russian Quantum Center
Russia
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