Practical algorithm for determining Hamiltonian identifiability

POSTER

Abstract

We demonstrate a practical algorithm for determining the identifiability of Hamiltonian parameters with local accessibility. We consider the problem of estimating the parameters of the Hamiltonian of one-dimensional spin chain systems with nearest-neighbor interaction and assume that we only have access to a single quantum probe coupled to the target system. We demonstrate a practical implementation of Hamiltonian identifiability by the eigensystem realization algorithm and Gröbner basis. Furthermore, we also provide a practical code to estimate the Hamiltonian parameters from the experimental results. XH and RG equally contributed to this work.

*This work was supported in part by the U.S. Army Research Office through Grants No. W911NF-11-1-0400 and W911NF-15-1-0548 and by the NSF PHY0551153. AS acknowledges Thomas G. Stockham Jr. Fellowship.

Presenters

  • Xiaoyang Huang

    • Physics, Massachusetts Institute of Technology

Authors

  • Xiaoyang Huang

    • Physics, Massachusetts Institute of Technology

  • Roberto Gauna

    • Electrical Engineering and Computer Science, Massachusetts Institute of Technology

  • Akira Sone

    • Nuclear Science and Engineering, Massachusetts Institute of Technology

  • Paola Cappellaro

    • Nuclear Science and Engineering, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics and Department of Nuclear Science and Engineering, Massachusetts Institute of Technology
    • Department of Nuclear Science and Engineering, MIT