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arXiv:quant-ph/0207096 · Optics and Spectroscopy

Measurement of qutrits

A. V. Burlakov, L. A. Krivitskii, S. P. Kulik, G. A. Maslennikov, M. V. Chekhova

Published May 1, 2003• 23 citations
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Abstract

A method of optical realization of a protocol of restoration of the density matrix of an unknown state of a three-level system that represents an arbitrary polarization state of a single-mode biphoton field is proposed. The method is applied to a set of pure states of qutrits, with this set being determined by the properties of SU (2) transformations performed by polarization transformers (retardation plates).

DOI
10.1134/1.1576835

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A method of optical realization of a protocol of restoration of the density matrix of an unknown state of a three-level system that represents an arbitrary polarization state of a single-mode biphoton field is proposed. The method is applied to a set of pure states of qutrits, with this set being determined by the properties of SU (2) transformations performed by polarization transformers (retardation plates).
The novel experimental realization of three-state optical quantum systems is presented. We use the polarization state of biphotons in single frequency- and spatial mode to generate an arbitrary qutrits. In particular the specific sequence of states that are used in the extended version of BB84 quantum key distribution protocol was generated and tested. We experimentally verify the orthogonality of the 12 basic states and demonstrate the ability of switching between them. The tomography procedure is applied to reconstruct the density matrices of generated states.