Progress toward scalable tomography of quantum maps using twirling-based methods and information hierarchies

Journal Article · Tue Jun 15 04:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.062113· OSTI ID:21413179

Lopez, Cecilia C ^[1]; Bendersky, Ariel; Paz, Juan Pablo ^[2]; Cory, David G ^[1]

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1. Department of Nuclear Science and Engineering, MIT, Cambridge, Massachusetts 02139 (United States)
2. Departamento de Fisica, FCEyN, UBA, Ciudad Universitaria, 1428 Buenos Aires (Argentina)

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 Lopez 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 {chi}-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.

• OSTI ID: 21413179
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIAGNOSTIC TECHNIQUES
INFORMATION
MAPS
MATRICES
TOMOGRAPHY