Se Yong Kim
(Sejong University, South Korea)

A fundamental error threshold is the critical error rate of a physical qubit system in quantum error correction (QEC). If the error rate per qubit or quantum gate operation is below this threshold, increasing the size of error-correcting code will exponentially suppress the logical qubit error rate. Thus, the fundamental error threshold is important in realizing a quantum computer. There is a general scheme to map the syndrome decoding into a statistical physics model. Studying phase diagram of the corresponding statistical mechanics model via Monte Carlso simulation, one can study this fundamental error threshold of a QEC code. Here we report our finding on the fundamental error thresholds of 2-dimensional toric code/surface code with various quantum circuit error scenarios.
 

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