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Quantum Codes From Toric Surfaces

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1 Author(s)
Hansen, J.P. ; Dept. of Math., Aarhus Univ., Aarhus, Denmark

A theory for constructing quantum error correcting codes from Toric surfaces by the Calderbank-Shor-Steane method is presented. In particular, we study the method on toric Hirzebruch surfaces. The results are obtained by constructing a dualizing differential form for the toric surface and by using the cohomology and the intersection theory of toric varieties.

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Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 2 )