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Title: Monomial-Cartesian codes and their duals, with applications to LCD codes, quantum codes, and locally recoverable codes
Award ID(s):
1855136
PAR ID:
10155626
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Designs, Codes and Cryptography
ISSN:
0925-1022
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    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. 
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