4 citations · 8 across the 13 of their papers we have counts for
15 papers
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…
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…
Constant-Overhead Magic State Distillation
Adam Wills, Min-Hsiu Hsieh, Hayata Yamasaki
Magic state distillation is a crucial yet resource-intensive process in fault-tolerant quantum computation. The protocol's overhead, defined as the number of input magic states req…
Efficient Algorithms for All Port-Based Teleportation Protocols
Adam Wills, Min-Hsiu Hsieh, Sergii Strelchuk
Port-based teleportation (PBT) is a form of quantum teleportation in which no corrective unitary is required on the part of the receiver. Two primary regimes exist - deterministic…
Geometrically Local Quantum and Classical Codes from Subdivision
Ting-Chun Lin, Adam Wills, Min-Hsiu Hsieh
A geometrically local quantum code is an error correcting code situated within , where the checks only act on qubits within a fixed spatial distance. The main questio…
Tradeoff Constructions for Quantum Locally Testable Codes
Adam Wills, Ting-Chun Lin, Min-Hsiu Hsieh
In this work, we continue the search for quantum locally testable codes (qLTCs) of new parameters by presenting three constructions that can make new qLTCs from old. The first anal…
Generalised Coupling and An Elementary Algorithm for the Quantum Schur Transform
Adam Wills, Sergii Strelchuk
The quantum Schur transform is a fundamental building block that maps the computational basis to a coupled basis consisting of irreducible representations of the unitary and symmet…
General Distance Balancing for Quantum Locally Testable Codes
Adam Wills, Ting-Chun Lin, Min-Hsiu Hsieh
In this paper, we prove a lower bound on the soundness of quantum locally testable codes under the distance balancing construction of Evra et al. arXiv:2004.07935 [quant-ph]. Our t…