Bounds on the minimum distance of additive quantum codes

Bounds on [[7,1]]2

lower bound:3
upper bound:3

Construction

Construction of a [[7,1,3]] quantum code:
[1]:  [[7, 1, 3]] Quantum code over GF(2^2)
     cyclic code of length 7 with generating polynomials [
x^6 + x^5 + x^3 + 1,
w*x^6 + w*x^5 + w*x^3 + w
]

    stabilizer matrix:

      [1 0 0 1 0 1 1|0 0 0 0 0 0 0]
      [0 1 0 1 1 1 0|0 0 0 0 0 0 0]
      [0 0 1 0 1 1 1|0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0|1 0 0 1 0 1 1]
      [0 0 0 0 0 0 0|0 1 0 1 1 1 0]
      [0 0 0 0 0 0 0|0 0 1 0 1 1 1]

last modified: 2005-06-30

Notes


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