The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Edge-coloring bipartite graphs
Journal of Algorithms
AAECC-13 Proceedings of the 13th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Error-detection-based quantum fault tolerance against discrete pauli noise
Error-detection-based quantum fault tolerance against discrete pauli noise
Fault-Tolerant Quantum Computation with Constant Error Rate
SIAM Journal on Computing
Quantum accuracy threshold for concatenated distance-3 codes
Quantum Information & Computation
A flow-map model for analyzing pseudothresholds in fault-tolerant quantum computing
Quantum Information & Computation
Noise threshold for a fault-tolerant two-dimensional lattice architecture
Quantum Information & Computation
A comparative code study for quantum fault tolerance
Quantum Information & Computation
Quantum universality by state distillation
Quantum Information & Computation
Quantum codes of minimum distance two
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Sparse-graph codes for quantum error correction
IEEE Transactions on Information Theory
Nonlocal quantum information in bipartite quantum error correction
Quantum Information Processing
A comparative code study for quantum fault tolerance
Quantum Information & Computation
Fault-tolerant ancilla preparation and noise threshold lower boudds for the 23-qubit Golay code
Quantum Information & Computation
The robustness of magic state distillation against errors in Clifford gates
Quantum Information & Computation
Quantum Information & Computation
Abstract resource cost derivation for logical quantum circuit descriptions
Proceedings of the 1st annual workshop on Functional programming concepts in domain-specific languages
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We study a comprehensive list of quantum codes as candidates for codes used at the physical level in a fault-tolerant code architecture. Using the Aliferis-Gottesman-Preskill (AGP) ex-Rec method we calculate the pseudo-threshold for these codes against depolarizing noise at various levels of overhead. We estimate the logical noise rate as a function of overhead at a physical error rate of p0 = 1 × 10-4. The Bacon-Shor codes and the Golay code are the best performers in our study.