Quantum Reed-Muller Codes

Physics – Quantum Physics

Scientific paper

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9 pages LaTeX. Replaced version corrects an important oversight. Further information at http://eve.physics.ox.ac.uk/ASGhome.ht

Scientific paper

A set of quantum error correcting codes based on classical Reed-Muller codes
is described. The codes have parameters [[n,k,d]] = [[2^r, 2^r - C(r,t) - 2
sum_{i=0}^{t-1} C(r,i), 2^t + 2^{t-1} ]].

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