TechRxiv
43257805_File000000_1057999407.pdf (266.71 kB)

Reinterpreting the Stabilizer Formalism

Download (266.71 kB)
preprint
posted on 01.09.2021, 23:59 by Vatsal Pramod Jha, Udaya ParampalliUdaya Parampalli, Abhay Kumar Singh
Stabilizer codes, introduced in [2], [3], have been a prominent example of quantum codes constructed via classical codes. The paper [3], introduces the stabilizer formalism for obtaining additive quantum codes of length n from Hermitian self-orthogonal codes of length n over GF(4). In the present work, we reinterpret the stabilizer formalism by considering binary codes over the symbol-pair metric (see [9]). Specifically, the present work constructs additive quantum codes of length n from certain binary codes of length n considered over the symbol-pair metric. We also present the Modified CSS Construction which is used to obtain quantum codes with parameters.

History

Email Address of Submitting Author

udaya@unimelb.edu.au

ORCID of Submitting Author

0000-0002-9798-0134

Submitting Author's Institution

The University of Melbourne

Submitting Author's Country

Australia