Eur. Phys. J. D 58, 409-413 (2010)
https://doi.org/10.1140/epjd/e2010-00105-9

Generation of entanglement in finite spin systems via adiabatic quantum computation

Department of Physics, University at Buffalo, The State University of New York, Buffalo, NY, 14260-1500, USA

Corresponding author: ^a sangchul@buffalo.edu

Received: 24 December 2009
Revised: 29 January 2010
Published online: 26 April 2010

Abstract

For a finite XY chain and a finite two-dimensional Ising lattice, it is shown that the paramagnetic ground state is adiabatically transformed to the Greenberger-Horne-Zeilinger state in the ferromagnetic phase by changing slowly the external magnetic field. It is found that the fidelity between the Greenberger-Horne-Zeilinger state and an adiabatically evolved state depends on the interpolation schemes as well as the energy gap between the ground and exited states. A possibility whether quantum phase transitions can be simulated on adiabatic quantum computation is discussed.