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

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

2005-04-08

arxiv.org/abs/quant-ph/0504061v2

Phys. Rev. A, 72, 052305 (2005)

Physics

Quantum Physics

1 figure, Latex, 8 pages, Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.72.052305

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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