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

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

2010-03-11

arxiv.org/abs/1003.2444v2

Phys. Rev. A 81, 062113 (2010)

Physics

Quantum Physics

Replaced with published version (only minor changes respect to the first version)

Scientific paper

10.1103/PhysRevA.81.062113

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 L\'{o}pez 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.

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