Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model

Department of Mathematics, Faculty of Science, University of Isfahan - Box 81745-163 Isfahan, Iran and School of Mathematics, Institute for Research in Fundamental Sciences (IPM) - P. O. Box 19395-5746, Tehran, Iran

Received: 5 December 2017
Accepted: 27 February 2018

Abstract

A fundamental requirement of quantum information processing is the protection from the adverse effects of decoherence and noise. Decoherence-free subspaces and geometric processing are important steps of quantum information protection. Here, we provide a new experimentally feasible scheme to combine decoherence-free subspaces with nonadiabatic geometric manipulations to attain a universal quantum computation. The proposed scheme is different from previous proposals and is based on the typical XY interaction coupling, which can be set up in various nano-engineered systems and therefore open up for realization of nonadiabatic holonomic quantum computation in decoherence-free subspaces.