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

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

2008-09-10

arxiv.org/abs/0809.1705v1

Phys. Rev. A 78, 052315 (2008)

Physics

Quantum Physics

6 pages, 5 figures

Scientific paper

10.1103/PhysRevA.78.052315

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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