4 citations · 8 across the 13 of their papers we have counts for
8 papers · 1 filter
Symmetry and AI-assisted discovery of magic-state factories
Shubham P. Jain, Adam Wills, Shraddha Singh
Magic-state distillation is a major resource cost in fault-tolerant quantum computing. The cost of a magic-state factory depends strongly on its failure rate, which grows with the…
Classification of Generalised Triorthogonal Codes through Length 54
Adam Wills, Shubham P. Jain, Shraddha Singh
Magic state distillation is a widely considered primitive in fault-tolerant quantum computation for the preparation of high-fidelity non-Clifford resources. The most commonly consi…
Improved Quantum Codes with Transversal T Gates
Adam Wills
In this work, we study quantum CSS codes with transversal gates. Here, gate transversality is meant in the strongest sense; the application of physical to every physica…
Magic State Distillation via Codes over Binary Extension Fields
Anqi Gong, Christopher A. Pattison, Patrick Rall +1
Fault-tolerant quantum computation architectures are frequently bottlenecked by the overhead of producing high-fidelity magic states. In this work, we use algebraic geometric techn…
Concatenating Algebraic Codes over High-Rate Quantum LDPC Codes
Adam Wills, Michael E. Beverland, Lev S. Bishop +4
Different quantum error correction schemes trade off overhead, error suppression, and hardware connectivity. Code concatenation can relax these tradeoffs by using an outer code who…
Forced Gap Post-Selection for Quantum LDPC Codes and their Operations
Adam Wills, Theodore J. Yoder, Isaac Chuang
We develop a simple and general post-selection strategy for high-rate quantum codes that is transferrable across decoders. After an initial baseline run, the decoder is re-run once…
A Review of Galois Qudits
Adam Wills
Galois qudits are -dimensional quantum systems whose choice of Pauli group encodes the arithmetic of some finite field . They differ from the more familiar modular…
Linear-Time Encodable and Decodable Quantum Error-Correcting Codes
Adam Wills, Ting-Chun Lin, Rachel Yun Zhang +1
Recent years have seen rapid development in the subject of quantum coding theory, with breakthroughs on many exciting classes of codes, including quantum LDPC codes, quantum locall…