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 email@example.com
Revised: 29 January 2010
Published online: 26 April 2010
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.
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2010