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arXiv · 0809.1705

Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain

Yukihiro Ota·Masamitsu Bando·Yasusi Kondo·Mikio Nakahara
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Abstract

We exactly construct one- and two-qubit holonomic quantum gates in terms of isospectral deformations of an Ising model Hamiltonian. A single logical qubit is constructed out of two spin-1/2 particles; the qubit is a dimer. We find that the holonomic gates obtained are discrete but dense in the unitary group. Therefore an approximate gate for a desired one can be constructed with arbitrary accuracy.

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Yukihiro Ota, Masamitsu Bando, Yasusi Kondo, Mikio Nakahara. 2008-09-10. Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain. https://doi.org/10.1103/physreva.78.052315

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