Reinterpreting the Stabilizer Formalism
preprintposted on 01.09.2021, 23:59 by Vatsal Pramod Jha, Udaya ParampalliUdaya Parampalli, Abhay Kumar Singh
Stabilizer codes, introduced in , , have been a prominent example of quantum codes constructed via classical codes. The paper , 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 ). 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.