Nonclassicality of pure two-qutrit entangled states

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 pair of local unitary U(3) transformations to define the measurement bases. Surprisingly, Schmidt-rank-2 states, resembling pairs of m...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-02, Vol.85 (2), Article 022118
Main Authors: Gruca, Jacek, Laskowski, Wiesław, Żukowski, Marek
Format: Article
Language:English
Subjects:
Entangled states
Numerical analysis
Qubits (quantum computing)
Transformations
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Summary: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 pair 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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.85.022118