The paper Fast entanglement detection for unknown states of two spatial qutrits written by G. Lima, E. S. Gómez, A. Vargas, R. O. Vianna, C. Saavedra has been published in PHYSICAL REVIEW A
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.
