Error Rate Thresholds for Physical Implementations of the Surface Code Bachelor of Science Honours Thesis
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چکیده
The surface code scheme for quantum error correction holds great promise with relatively high error rate thresholds predicted some three orders of magnitude higher than conventional quantum error-correcting codes (such as the Steane code). The central problem is the question of how to physically implement the surface code in viable physical qubit systems. This report details the calculation of the error threshold for the surface code in 2D using graphical techniques for a physically motivated breakdown of the time scales and error rates of the underlying physical system, including measurement, gate and memory components. The characteristic behaviour of the error threshold with respect to these components will influence the physical design of the qubit array upon which surface codes could be implemented.
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