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Controllability of spin 1 systems and realization of ternary SWAP gate in two spin 1 systems coupled with Ising interaction

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Abstract

In this paper, we investigate the controllability of spin 1 systems and the realization of ternary gates. Using dipole and quadrupole operators as the orthogonal basis of su(3) algebra, we discuss the controllability of one spin 1 systems and offer the concept of a complete set of control operators first. Then we present the controllability of two spin 1 systems coupled with Ising interaction and the transforming relations of the drift process of the system. Finally the specific realization of the ternary SWAP gate in these systems is discussed. It takes 9 drift processes and 25 basic control processes.

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Authors and Affiliations

  1. School of Physics & Electronic Engineering, Xuzhou Normal University, Xuzhou, 221116, China

    Yan Wang, YaoMin Di & HaiRui Wei

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  1. Yan Wang
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  2. YaoMin Di
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  3. HaiRui Wei
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Correspondence to YaoMin Di.

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Wang, Y., Di, Y. & Wei, H. Controllability of spin 1 systems and realization of ternary SWAP gate in two spin 1 systems coupled with Ising interaction. Sci. China Phys. Mech. Astron. 53, 1873–1877 (2010). https://doi.org/10.1007/s11433-010-4110-2

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  • DOI: https://doi.org/10.1007/s11433-010-4110-2

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