most citedNonstabilizer Quantum Codes from Abelian Subgroups of the Error Group

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quant-ph2002★ 1 cited

Nonstabilizer Quantum Codes from Abelian Subgroups of the Error Group

V. Arvind, Piyush P Kurur, K. R. Parthasarathy

This paper is motivated by the computer-generated nonadditive ((5,6,2)) code described in an article by Rains, Hardin, Shor and Sloane. We describe a theory of non-stabilizer codes…

quant-ph2002

A Family of Quantum Stabilizer Codes Based on the Weyl Commutation Relations over a Finite Field

V. Arvind, K. R. Parthasarathy

Using the Weyl commutation relations over a finite field we introduce a family of error-correcting quantum stabilizer codes based on a class of symmetric matrices over the finite f…