Self-consistent tomography of the state-measurement Gram matrix
Name
PhysRevA.89.052109.pdf
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200.4 KB
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Author(s)
Stark, Cyril
Date Issued
May 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Stark, Cyril. “Self-Consistent Tomography of the State-Measurement Gram Matrix.” Phys. Rev. A 89, no. 5 (May 2014). © 2014 American Physical Society
Version
Final published version
Abstract
State and measurement tomography make assumptions about the experimental states or measurements. These assumptions are often not justified because state preparation and measurement errors are unavoidable in practice. Here we describe how the Gram matrix associated with the states and measurement operators can be estimated via semidefinite programming if the states and the measurements are so-called globally completable. This is, for instance, the case if the unknown measurements are known to be projective and nondegenerate. The computed Gram matrix determines the states, and the measurement operators uniquely up to simultaneous rotations in the space of Hermitian matrices. We prove the reliability of the proposed method in the limit of a large number of independent measurement repetitions.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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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.89.052109
