Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies
Name
Lopez-2010-Progress toward scal.pdf
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Author(s)
Lopez, Cecilia Carolina
Bendersky, Ariel
Paz, Juan Pablo
Cory, David G.
Date Issued
June 2010
Journal
Physical Review A
Publisher
American Physical Society
Citation
Lopez, Cecilia C. et al. "Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies." Physical Review A 81.6 (2010): 062113. © 2010 The American Physical Society
Version
Final published version
Abstract
We present in a unified manner the existing methods for scalable partial quantum process tomography. We focus on two main approaches: the one presented in Bendersky et al. [Phys. Rev. Lett. 100, 190403 (2008)] and the ones described, respectively, in Emerson et al. [Science 317, 1893 (2007)] and López et al. [Phys. Rev. A 79, 042328 (2009)], which can be combined together. The methods share an essential feature: They are based on the idea that the tomography of a quantum map can be efficiently performed by studying certain properties of a twirling of such a map. From this perspective, in this paper we present extensions, improvements, and comparative analyses of the scalable methods for partial quantum process tomography. We also clarify the significance of the extracted information, and we introduce interesting and useful properties of the χ-matrix representation of quantum maps that can be used to establish a clearer path toward achieving full tomography of quantum processes in a scalable way.
MIT Department
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
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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.81.062113
