Generation of entanglement in finite spin systems via adiabatic quantum computation

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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.

Original languageEnglish
Pages (from-to)409-413
Number of pages5
JournalEuropean Physical Journal D
Volume58
Issue number3
DOIs
Publication statusPublished - 1 Jun 2010

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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