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.
Quantum LDPC codes.A quantum CSS codeQ= CSS(H X , HZ) is said to be an (r, c)-qLDPC code if the row weight of bothH X andH Z is at mostr, and the column weight of both is at mostc
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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.