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    Optimizing for an arbitrary perfect entangler: I. Functionals


    Watts, Paul and Vala, Jiri and Muller, Matthias M. and Calarco, Tommaso and Whaley, K. Birgitta and Reich, Daniel M. and Goerz, Michael H. and Koch, Christiane P. (2015) Optimizing for an arbitrary perfect entangler: I. Functionals. Physical Review A, 91 (062306). pp. 1-9. ISSN 1050-2947

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    Abstract

    Optimal control theory is a powerful tool for improving figures of merit in quantum information tasks. Finding the solution to any optimal control problem via numerical optimization depends crucially on the choice of the optimization functional. Here, we derive a functional that targets the full set of two-qubit perfect entanglers, gates capable of creating a maximally entangled state out of some initial product state. The functional depends on easily computable local invariants and unequivocally determines whether a gate is a perfect entangler. Optimization with our functional is most useful if the two-qubit dynamics allows for the implementation of more than one perfect entangler. We discuss the reachable set of perfect entanglers for a generic Hamiltonian that corresponds to several quantum information platforms of current interest.

    Item Type: Article
    Additional Information: The definitive version of this article is available at Optimizing for an arbitrary perfect entangler. I. Functionals Paul Watts, Jiří Vala, Matthias M. Müller, Tommaso Calarco, K. Birgitta Whaley, Daniel M. Reich, Michael H. Goerz, and Christiane P. Koch Phys. Rev. A 91, 062306 – Published 8 June 2015 DOI: http://dx.doi.org/10.1103/PhysRevA.91.062306
    Keywords: Optimization; arbitrary perfect entangler; quantum information tasks;
    Academic Unit: Faculty of Science and Engineering > Mathematical Physics
    Item ID: 6311
    Identification Number: https://doi.org/10.1103/PhysRevA.91.062306
    Depositing User: Dr. Jiri Vala
    Date Deposited: 20 Aug 2015 15:50
    Journal or Publication Title: Physical Review A
    Publisher: American Physical Society
    Refereed: Yes
    Funders: Science Foundation Ireland (SFI)
    URI:

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