trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

A nice error basis code whose stabilizer group is not normal

In the projective error model of Proposition 8.1 with n = 2, a group of order 16 acting on C^4, the code spanned by (1, 1, 1, 1) has four logical operators and four stabilizers, so their orders multiply to the order of the group, yet the stabilizers do not form a normal subgroup.

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