Pauli Envelope framework enables optimal loss-distance correction (d_loss ~ d) for rotated surface codes via Mid-SWAP circuits and Envelope-MLE decoder, with simulations showing up to 40% higher thresholds.
A topological theory for qldpc: non- clifford gates and magic state fountain on homological product codes with constant rate and beyond then1/3 distance barrier
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Extends n-dimensional topological stabilizer codes to Clifford hierarchy versions corresponding to non-Abelian gauge theories and constructs transversal gates at the (n+1)th Clifford level.
Tricycle codes generalize bicycle codes to three homological dimensions, enabling constant-depth CCZ circuits and single-shot magic state generation with circuit-level thresholds above 0.5% and low error rates at block lengths of 50-100 qubits.
A new code surgery protocol measures t logically disjoint Pauli products on any LDPC code using O(t ω (log t + log³ω)) ancillas in O(d) time while preserving LDPC property and fault distance.
A qubit-reduction method for hypergraph product codes preserves dimension, distance, and fault-tolerance properties, producing smaller codes such as [[441,64,6]] from [[610,64,6]] with comparable noise performance and compatibility with logical gates.
Automorphisms of gauge groups extend to higher or non-invertible symmetries in topological gauge theories and enable transversal non-Clifford gates in 2+1d Z_N qudit Clifford stabilizer models for N greater than or equal to 3.
citing papers explorer
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Achieving Optimal-Distance Atom-Loss Correction via Pauli Envelope
Pauli Envelope framework enables optimal loss-distance correction (d_loss ~ d) for rotated surface codes via Mid-SWAP circuits and Envelope-MLE decoder, with simulations showing up to 40% higher thresholds.
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Clifford Hierarchy Stabilizer Codes: Transversal Non-Clifford Gates and Magic
Extends n-dimensional topological stabilizer codes to Clifford hierarchy versions corresponding to non-Abelian gauge theories and constructs transversal gates at the (n+1)th Clifford level.
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Magic tricycles: Efficient magic state generation with finite block-length quantum LDPC codes
Tricycle codes generalize bicycle codes to three homological dimensions, enabling constant-depth CCZ circuits and single-shot magic state generation with circuit-level thresholds above 0.5% and low error rates at block lengths of 50-100 qubits.
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Parallel Logical Measurements via Quantum Code Surgery
A new code surgery protocol measures t logically disjoint Pauli products on any LDPC code using O(t ω (log t + log³ω)) ancillas in O(d) time while preserving LDPC property and fault distance.
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Spatial overhead reduction for 2D hypergraph product codes
A qubit-reduction method for hypergraph product codes preserves dimension, distance, and fault-tolerance properties, producing smaller codes such as [[441,64,6]] from [[610,64,6]] with comparable noise performance and compatibility with logical gates.
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Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates
Automorphisms of gauge groups extend to higher or non-invertible symmetries in topological gauge theories and enable transversal non-Clifford gates in 2+1d Z_N qudit Clifford stabilizer models for N greater than or equal to 3.