Implementation of holonomic quantum gates by an isospectral deformation of an Ising dimer chain
arXiv:0809.1705 · doi:10.1103/PhysRevA.78.052315
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.
arXiv comment6 pages, 5 figures
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