Space-group codes—CSS codes whose stabilizers use crystallographic point-group symmetries—can be topologically ordered and geometrically local, and some match or beat bivariate-bicycle benchmarks.
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2 Pith papers cite this work. Polarity classification is still indexing.
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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.
citing papers explorer
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Topological Codes from Space Groups: A Route beyond Translation Invariance
Space-group codes—CSS codes whose stabilizers use crystallographic point-group symmetries—can be topologically ordered and geometrically local, and some match or beat bivariate-bicycle benchmarks.
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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.