Magic Quantum Code Surgery
Abstract
Non-Clifford operations required for universal quantum computation can be implemented by measuring logical Clifford operators. We present a generalized framework to fault-tolerantly measure transversal Clifford logical operators in quantum low-density parity check (QLDPC) codes. Our protocol takes any QLDPC code and deforms the code across additional ancillary qubits such that a product of stabilizers measures the desired logical Clifford operator. We prove that the deformed, Clifford-stabilized code remains LDPC and that its distance is preserved up to a constant factor independent of the number of physical qubits. We further prove that the Clifford measurement has a fault distance against data qubit and measurement errors that grows linearly with the distance of the original code. We apply our methods to implement logical non-Clifford gates in algorithmically relevant subroutines and to prepare magic states in quantum stabilizer codes.
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BibTeX
@misc{chang2026magic,
title = {{Magic Quantum Code Surgery}},
author = {Kathleen Chang and Anasuya Lyons and Yuanjie Ren and Harald Putterman and Nathanan Tantivasadakarn and Victor V. Albert and Benjamin J. Brown and Dominic J. Williamson},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03920},
eprint = {2610.03920},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03920},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Magic Quantum Code Surgery
AU - Kathleen Chang
AU - Anasuya Lyons
AU - Yuanjie Ren
AU - Harald Putterman
AU - Nathanan Tantivasadakarn
AU - Victor V. Albert
AU - Benjamin J. Brown
AU - Dominic J. Williamson
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03920
UR - https://arxiv.org/abs/2610.03920
AB - Non-Clifford operations required for universal quantum computation can be implemented by measuring logical Clifford operators. We present a generalized framework to fault-tolerantly measure transversal Clifford logical operators in quantum low-density parity check (QLDPC) codes. Our protocol takes any QLDPC code and deforms the code across additional ancillary qubits such that a product of stabilizers measures the desired logical Clifford operator. We prove that the deformed, Clifford-stabilized code remains LDPC and that its distance is preserved up to a constant factor independent of the number of physical qubits. We further prove that the Clifford measurement has a fault distance against data qubit and measurement errors that grows linearly with the distance of the original code. We apply our methods to implement logical non-Clifford gates in algorithmically relevant subroutines and to prepare magic states in quantum stabilizer codes.
ER -