21 citations · 35 across the 15 of their papers we have counts for
6 papers · 2 filters
Sequences of Bivariate Bicycle Codes from Covering Graphs
Benjamin C. B. Symons, Abhishek Rajput, Dan E. Browne
We show that given an instance of a bivariate bicycle (BB) code, it is possible to generate an infinite sequence of new BB codes using increasingly large covering graphs of the ori…
Single-Shot Decoding and Fault-tolerant Gates with Trivariate Tricycle Codes
Abraham Jacob, Campbell McLauchlan, Dan E. Browne
While quantum low-density parity check (qLDPC) codes are a low-overhead means of quantum information storage, it is valuable for quantum codes to possess fault-tolerant features be…
Unlocking early fault-tolerant quantum computing with mitigated magic dilution
Surabhi Luthra, Alexandra E. Moylett, Dan E. Browne +1
As quantum computing progresses towards the early fault-tolerant regime, quantum error correction will play a crucial role in protecting qubits and enabling logical Clifford operat…
Online Gaussian elimination for quantum LDPC decoding
Sam J. Griffiths, Asmae Benhemou, Dan E. Browne
Decoders for quantum LDPC codes generally rely on solving a parity-check equation with Gaussian elimination, with the generalised union-find decoder performing this repeatedly on g…
Automorphism Ensemble Decoding of Quantum LDPC Codes
Stergios Koutsioumpas, Hasan Sayginel, Mark Webster +1
We introduce AutDEC, a fast and accurate decoder for quantum error-correcting codes with large automorphism groups. Our decoder employs a set of automorphisms of the quantum code a…
Heuristic and Optimal Synthesis of CNOT and Clifford Circuits
Mark Webster, Stergios Koutsioumpas, Dan E Browne
Efficiently implementing Clifford circuits is crucial for quantum error correction and quantum algorithms. Linear reversible circuits, equivalent to circuits composed of CNOT gates…