A symmetry-leveraging framework for fault-tolerant ancilla preparation in quantum BCH codes yields lower spatial overhead and logical error rates than standard distillation in simulations up to 127 qubits.
Quantum BCH Codes
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
After a brief introduction to both quantum computation and quantum error correction, we show how to construct quantum error-correcting codes based on classical BCH codes. With these codes, decoding can exploit additional information about the position of errors. This error model - the quantum erasure channel - is discussed. Finally, parameters of quantum BCH codes are provided.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Generator polynomials for Hermitian hulls and sums of cyclic codes over F2 × (F2 + vF2) yield QEC codes via Hermitian Construction X and EAQEC codes via matrix-product methods on LCD codes.
Concatenates Laflamme and Iceberg codes with selective filtering for a partially fault-tolerant quantum computation scheme that simulations indicate performs reliably at realistic noise levels.
citing papers explorer
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Efficient Fault-Tolerant Ancilla Preparation for Quantum BCH codes via Cyclic Symmetry
A symmetry-leveraging framework for fault-tolerant ancilla preparation in quantum BCH codes yields lower spatial overhead and logical error rates than standard distillation in simulations up to 127 qubits.
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QEC and EAQEC Codes from Hermitian Sums and Hulls of Cyclic Codes over $\mathbb{F}_2 \times (\mathbb{F}_2+v\mathbb{F}_2)$
Generator polynomials for Hermitian hulls and sums of cyclic codes over F2 × (F2 + vF2) yield QEC codes via Hermitian Construction X and EAQEC codes via matrix-product methods on LCD codes.
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Fire and ice: Partially fault-tolerant quantum computing with selective state filtering
Concatenates Laflamme and Iceberg codes with selective filtering for a partially fault-tolerant quantum computation scheme that simulations indicate performs reliably at realistic noise levels.