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Title: Quantum codes, CFTs, and defects
A<sc>bstract</sc> We give a general construction relating Narain rational conformal field theories (RCFTs) and associated 3d Chern-Simons (CS) theories to quantum stabilizer codes. Starting from an abelian CS theory with a fusion group consisting ofneven-order factors, we map a boundary RCFT to ann-qubit quantum code. When the relevant ’t Hooft anomalies vanish, we can orbifold our RCFTs and describe this gauging at the level of the code. Along the way, we give CFT interpretations of the code subspace and the Hilbert space of qubits while mapping error operations to CFT defect fields.  more » « less
Award ID(s):
2013812
PAR ID:
10483048
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer (Journal of High Energy Physics)
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2023
Issue:
3
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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