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Exact Solutions of Holonomic Quantum Computation

Shogo Tanimura·Daisuke Hayashi·Mikio Nakahara
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Abstract

Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a complex projective space. Exact solutions for the Hadamard, CNOT and 2-qubit discrete Fourier transform gates are explicitly constructed.

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Shogo Tanimura, Daisuke Hayashi, Mikio Nakahara. 2004-03-25. Exact Solutions of Holonomic Quantum Computation. https://doi.org/10.1016/j.physleta.2004.03.057

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