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Exact solutions for a universal set of quantum gates on a family of iso-spectral spin chains

V. Karimipour·N. Majd
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Abstract

We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases. Previously these gates have been constructed mostly on non-scalable systems and by numerical searches among the loops in the manifold of control parameters of the Hamiltonian.

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V. Karimipour, N. Majd. 2005-09-25. Exact solutions for a universal set of quantum gates on a family of iso-spectral spin chains. https://doi.org/10.1103/physreva.72.052305

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