Web Reference: Feb 11, 2025 · Introducing SHYPS: the first QLDPC code family that can efficiently perform error-corrected quantum computation. The patent pending SHYPS codes use materially fewer qubits per logical qubit than traditional surface codes. Family of quantum LDPC codes obtained by combining the subsystem hypgergraph product code construction with classical simplex codes. The result are CSS subsystem codes with weight-three gauge generators and code parameters [n= (2^r − 1)^2, k=r^2, d=2^ {r-1}] for r \geq 3. Simulation of the Clifford operator achieves near-memory error correction performance in terms of error suppression, demonstrating that logical operations can be executed efficiently and fault-tolerantly in SHYPS codes.
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