Union-find decoder for surface code achieves finite threshold under circuit-level stochastic errors with quasi-polylog parallel runtime bound.
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A new scheme for fault-tolerant quantum computation on qLDPC codes achieves constant qubit overhead and time overhead O(d^{1+o(1)}) for good codes, faster than prior code surgery methods for a<2.
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Proof of a finite threshold for the union-find decoder
Union-find decoder for surface code achieves finite threshold under circuit-level stochastic errors with quasi-polylog parallel runtime bound.
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Accelerating Fault-Tolerant Quantum Computation with Good qLDPC Codes
A new scheme for fault-tolerant quantum computation on qLDPC codes achieves constant qubit overhead and time overhead O(d^{1+o(1)}) for good codes, faster than prior code surgery methods for a<2.