A high-rate non-LDPC CSS code family with parameters [[n, √n, Θ(n^β)]] (β≈0.2823) is constructed from a base [[n0,2,d0]] code and provably admits a constant-depth complete transversal logical Clifford ISA of targeted S̄, √X̄, and CZ̄ gates.
Fault-tolerant logical gates in quantum error-correcting codes.Physical Review A, 91(1):012305, 2015
2 Pith papers cite this work, alongside 105 external citations. Polarity classification is still indexing.
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Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.
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Quantum Logic Codes: Complete Transversal Logical Clifford Instruction Sets for High-Rate Stabilizer Quantum Error Correcting Codes
A high-rate non-LDPC CSS code family with parameters [[n, √n, Θ(n^β)]] (β≈0.2823) is constructed from a base [[n0,2,d0]] code and provably admits a constant-depth complete transversal logical Clifford ISA of targeted S̄, √X̄, and CZ̄ gates.
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Translation-invariant quantum low-density parity-check codes from compactified fracton models
Compactification of a single higher-dimensional hypergraph-product fracton model yields a broad family of translation-invariant quantum LDPC codes that includes fracton models and all A2BGA codes such as BB codes.