The University of Queensland
Department of Mathematics
Mathematical Physics Seminar
Holonomic Quantum Computation
Demosthenes Ellinas
Technical University of Crete
Thursday August 17, 10.00am
Room 111, Priestley Building
Holonomic Quantum Computation (HQC), is an approach to quantum information processing that is based on geometrical means. HQC uses (degenerate) multiplets of eigen- vectors of a parametric family of physical Hamitonians to encode quantum information. Unitary quantum gates operating to accomplish a computational task are realized by adiabatically varying along loops the parameters of the Hamiltonian, in a control manifold of parameters.
Appropriate choice of the adiabatic loops give rise to holonomies that realize unitary logical gates in the Hilbert eigen-space of the Hamiltonian, as a result of the non trivial curvature of the underlying fiber bundle geometry.
In this talk we present a non local contruction of universal gates by means of holonomic (geometric) quantum teleportation. The effect of errors from an imperfect control of the classical parameters the looping variation of which builts up the holonomic gates, is also investigated. together with the influence of quantum decoherence on holonomic teleportation used as computational primitive. Finally, we study the resiliance of the teleportation fidelity under small geometric imperfections for asymptotically large values of the decoherence parameter.
All interested are invited to attend.
Enquires to Yao-Zhong Zhang on 3365 2309 or yzz@maths.uq.edu.au