6 papers
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…
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…
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…
Almost Linear Decoder for Optimal Geometrically Local Quantum Codes
Quinten Eggerickx, Adam Wills, Ting-Chun Lin +2
Geometrically local quantum codes, which are error correction codes embedded in with checks acting only on qubits within a fixed spatial distance, have garnered sign…