Explicit error syndrome calculation for quantum graph codes

Authors:
Gilson O. Santos;Francisco M. Assis;Aércio F. Lima
Affiliations:
Federal Institute of Alagoas, Maceió, Brazil;Department of Electrical Engineering, Federal University of Campina Grande, Campina Grande, Brazil;Department of Physics, Federal University of Campina Grande, Campina Grande, Brazil
Venue:
Quantum Information Processing
Year:
2013

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Abstract

In Schlingemann (J Math Phys 45:4322, 2004) it was proved that for any calculated error syndrome for quantum graph codes exists an appropriate local correction operation. In this paper we propose an explicit operator to perform the calculation of the syndrome to these codes. Our method makes use of the inverse quantum Fourier transform.