NMR quantum gate factorization through canonical cosets

Renán Cabrera, Denys I. Bondar, HERSCHEL A. RABITZ · arXiv (Cornell University) · 2012

The block canonical coset decomposition is developed as a universal algorithmic tool to synthesize n-qubit quantum gates out of experimentally realizable NMR elements. The two-, three-, and four-qubit quantum Fourier transformations are worked out as examples. The proposed decomposition bridges the state of the art numerical analysis with NMR quantum gate synthesis.

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