Fast entanglement detection for unknown states of two spatial qutrits

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.

8 pages, 6 figures

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Cited by in corpus (19)

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• Certifying an irreducible 1024-dimensional photonic state using refined dimension witnesses
• Experimental implementation of an eight-dimensional Kochen-Specker set and observation of its connection with the Greenberger-Horne-Zeilinger theorem
• Remote state preparation of spatial qubits
• Quantum Entanglement Initiated Super Raman Scattering
• Experimental implementation of a NMR entanglement witness
• Variational quantum tomography with incomplete information by means of semidefinite programs
• Minimal Entanglement Witness From Electrical Current Correlations
• Testing noncontextuality inequalities that are building blocks of quantum correlations
• Automated Machine Learning can Classify Bound Entangled States with Tomograms
• Measurement strategy for spatially encoded photonic qubits
• Experimental demonstration of the connection between quantum contextuality and graph theory
• Detection of mixed bipartite entangled state in arbitrary dimension via structural physical approximation of partial transposition
• Quantum process tomography with informational incomplete data of two $J$-coupled heterogeneous spins relaxation in a time window much greater than $T_1$
• Nonlinear Improvement of Qubit-qudit Entanglement Witnesses
• Detecting entanglement of unknown states by violating the Clauser-Horne-Shimony-Holt inequality