Nonclassicality of pure two-qutrit entangled states

Abstract

We report an exhaustive numerical analysis of violations of local realism by two qutrits in all possible pure entangled states. In Bell type experiments we allow any pairs of local unitary U(3) transformations to define the measurement bases. Surprisingly, Schmidt rank-2 states, resembling pairs of maximally entangled qubits, lead to the most noise-robust violations of local realism. The phenomenon seems to be even more pronounced for four and five dimensional systems, for which we tested a few interesting examples.

6 pages, journal version

References in corpus (2)

• Non-classicality thresholds for multiqubit states - numerical analysis
• A family of generalized Horodecki-like entangled states

Cited by in corpus (13)

• Three-photon bosonic coalescence in an integrated tritter
• Quantum interferometry with three-dimensional geometry
• There is no anomaly in the nonlocality of two entangled qutrits
• Solving Large-Scale Optimization Problems Related to Bell's Theorem
• Simple criteria for noise resistance of two qudit entanglement
• On detecting violation of local realism with photon-number resolving weak-field homodyne measurements
• Noise resistance of violation of local causality for pure three-qutrit entangled states
• Experimental violation of a d-dimensional Bell inequality using energy-time entangled photons
• Geometric extension of Clauser-Horne inequality to more qubits
• Multisetting Bell inequalities for $N$ spins-1 avoiding KS contradiction
• Investigating nonclassicality of many qutrits by symmetric two-qubit operators
• New assessment on the nonlocality of correlation boxes
• Qudit Clauser-Horne-Shimony-Holt Inequality and Nonlocality from Wigner Negativity