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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.

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Article Open access 05 August 2022

Roman Rietsche, Christian Dremel, … Jan-Marco Leimeister

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

    S. Oh

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  1. S. Oh
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Correspondence to S. Oh.

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Oh, S. Generation of entanglement in finite spin systems via adiabatic quantum computation. Eur. Phys. J. D 58, 409–413 (2010). https://doi.org/10.1140/epjd/e2010-00105-9

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  • DOI: https://doi.org/10.1140/epjd/e2010-00105-9

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