Stabilizer codes are the most widely studied class of quantum error-correcting codes and
form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code is …

In this paper, we introduce the gauge-fixed QLDPC surgery scheme, an improved logical
measurement scheme based on the construction of Cohen et al.~(Sci.~ Adv.~ 8, eabn1717) …

We introduce homological measurement, a framework for measuring the logical Pauli
operators encoded in CSS stabilizer codes. The framework is based on the algebraic …

We propose the repetition code adapter as a way to perform joint logical Pauli
measurements within a quantum low-density parity check (LDPC) codeblock or between …

We develop a unified theory for fault-tolerant quantum computation in quantum low-density
parity-check (qLDPC) and topological codes. We show that there exist hidden simplicial …

The development of quantum codes with good error correction parameters and useful sets of
transversal gates is a problem of major interest in quantum error-correction. Abundant prior …

Fault-Tolerant Constant-Depth Clifford Gates on Toric Codes Page 1 Fault-Tolerant
Constant-Depth Clifford Gates on Toric Codes Alexandre Guernut and Christophe Vuillot …

We show that the good quantum LDPC codes of Panteleev-Kalachev\cite {PK} allow for
surgery using any logical qubits, albeit incurring an asymptotic penalty which lowers the rate …

Fault-tolerant quantum computation requires the measurements of error syndromes and
logical operators in a way that minimizes undesired correlated errors on the quantum data …