Fast entanglement detection for unknown states of two spatial qutrits
Gislayne Karen dos Santos Lima, Esteban S. Gómez, Asticio A. Vargas, Reinaldo O. Vianna, C. Saavedra · Physical Review A · 2010
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 (three-dimensional quantum systems), which are encoded in the discrete transverse momentum of single photons transmitted through a multislit 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 semidefinite 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.