Hamiltonian identifiability assisted by a single-probe measurement
Name
PhysRevA.95.022335.pdf
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381.91 KB
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Adobe PDF
Checksum (MD5)
9494e11b2b9e196fcd7f5ed839ff334f
Author(s)
Sone, Akira
Cappellaro, Paola
Date Issued
February 2017
Journal
Physical Review A
Publisher
American Physical Society
Citation
Sone, Akira and Cappellaro, Paola. "Hamiltonian identifiability assisted by a single-probe measurement." Physical Review A 95, no. 022335 (February 2017): 1-15 ©2017 American Physical Society
Version
Final published version
Abstract
We study the Hamiltonian identifiability of a many-body spin-1/2 system assisted by the measurement on a single quantum probe based on the eigensystem realization algorithm approach employed in Zhang and Sarovar, Phys. Rev. Lett. 113, 080401 (2014). We demonstrate a potential application of Gröbner basis to the identifiability test of the Hamiltonian, and provide the necessary experimental resources, such as the lower bound in the number of the required sampling points, the upper bound in total required evolution time, and thus the total measurement time. Focusing on the examples of the identifiability in the spin-chain model with nearest-neighbor interaction, we classify the spin-chain Hamiltonian based on its identifiability, and provide the control protocols to engineer the nonidentifiable Hamiltonian to be an identifiable Hamiltonian.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Massachusetts Institute of Technology. Research Laboratory of Electronics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.95.022335
