Compressing measurements in quantum dynamic parameter estimation
Name
Magesan-2013-Compressing measurements in.pdf
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Author(s)
Magesan, Easwar
Cappellaro, Paola
Cooper-Roy, Alexandre
Date Issued
December 2013
Journal
Physical Review A
Publisher
American Physical Society
Citation
Magesan, Easwar, Alexandre Cooper, and Paola Cappellaro. “Compressing Measurements in Quantum Dynamic Parameter Estimation.” Phys. Rev. A 88, no. 6 (December 2013). © 2013 American Physical Society
Version
Final published version
Abstract
We present methods that can provide an exponential savings in the resources required to perform dynamic parameter estimation using quantum systems. The key idea is to merge classical compressive sensing techniques with quantum control methods to significantly reduce the number of signal coefficients that are required for reconstruction of time-varying parameters with high fidelity. We show that incoherent measurement bases and, more generally, suitable random measurement matrices can be created by performing simple control sequences on the quantum system. Random measurement matrices satisfying the restricted isometry property can be used efficiently to reconstruct signals that are sparse in any basis. Because many physical processes are approximately sparse in some basis, these methods can benefit a variety of applications such as quantum sensing and magnetometry with nitrogen-vacancy centers.
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.88.062109
