Estimation of many-body quantum Hamiltonians via compressive sensing
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Lloyd-2011-Estimation of many-body quantum.pdf
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Author(s)
Shabani, A.
Kosut, R. L.
Rabitz, H.
Mohseni, Masoud
Lloyd, Seth
Date Issued
July 2011
Journal
Physical Review A
Publisher
American Physical Society
Citation
Shabani, A. et al. “Estimation of many-body quantum Hamiltonians via compressive sensing.” Physical Review A 84 (2011): n. pag. Web. 17 Nov. 2011. © 2011 American Physical Society
Version
Final published version
Abstract
We develop an efficient and robust approach for quantum measurement of nearly sparse many-body quantum Hamiltonians based on the method of compressive sensing. This work demonstrates that with only O(sln(d)) experimental configurations, consisting of random local preparations and measurements, one can estimate the Hamiltonian of a d-dimensional system, provided that the Hamiltonian is nearly s sparse in a known basis. The classical postprocessing is a convex optimization problem on the total Hilbert space which is generally not scalable. We numerically simulate the performance of this algorithm for three- and four-body interactions in spin-coupled quantum dots and atoms in optical lattices. Furthermore, we apply the algorithm to characterize Hamiltonian fine structure and unknown system-bath interactions.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical 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.84.012107
