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Fast Entanglement Detection for Unknown States of Two Spatial Qutrits

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Abstract

We investigate the practicality of the method proposed by Maciel et al. [Phys. Rev. A. 80, 032325 (2009)] for detecting the entanglement of two spatial qutrits (3-dimensional quantum systems), which are encoded in the discrete transverse momentum of single photons transmitted through a multi-slit aperture. The method is based on the acquisition of partial information of the quantum state through projective measurements, and a data processing analysis done with semi-definite programs. This analysis relies on generating gradually an optimal entanglement witness operator, and numerical investigations have shown that it allows for the entanglement detection of unknown states with a cost much lower than full state tomography.

© 2010 Optical Society of America

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