TY - JOUR
T1 - Fold-Transversal Clifford Gates for Quantum Codes
AU - Breuckmann, Nikolas P.
AU - Burton, Simon
N1 - Publisher Copyright:
© 2024 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved.
PY - 2024
Y1 - 2024
N2 - We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only. To demonstrate our approach, we specifically consider a [[30,8,3]] hyperbolic quantum code called Bring’s code. Further, we show that by restricting the logical subspace of Bring’s code to four qubits, we can obtain the full Clifford group on that subspace.
AB - We generalize the concept of folding from surface codes to CSS codes by considering certain dualities within them. In particular, this gives a general method to implement logical operations in suitable LDPC quantum codes using transversal gates and qubit permutations only. To demonstrate our approach, we specifically consider a [[30,8,3]] hyperbolic quantum code called Bring’s code. Further, we show that by restricting the logical subspace of Bring’s code to four qubits, we can obtain the full Clifford group on that subspace.
UR - http://www.scopus.com/inward/record.url?scp=85197280076&partnerID=8YFLogxK
U2 - 10.22331/q-2024-06-13-1372
DO - 10.22331/q-2024-06-13-1372
M3 - Article (Academic Journal)
AN - SCOPUS:85197280076
SN - 2521-327X
VL - 8
JO - Quantum
JF - Quantum
ER -