Gisin's theorem for two d-dimensional systems based on the Collins-Gisin-Linden-Masser-Popescu inequality
arXiv:0802.0125 · doi:10.1103/PhysRevA.77.060306
Abstract
In this Rapid Communication, we show analytically that all pure entangled states of two d-dimensional systems (qudits) violate the Collins-Gisin-Linden-Masser-Popoescu (CGLMP) inequality. Thus one has the Gisin's theorem for two qudits.
4 pages, 1 figure, accepted for publication as a Rapid Communication in Physical Review A
References in corpus (11)
- Bell inequalities for arbitrarily high dimensional systems
- From Bell's Theorem to Secure Quantum Key Distribution
- All multipartite Bell correlation inequalities for two dichotomic observables per site
- Research on Hidden Variable Theories: a review of recent progresses
- Bell's theorem for general N-qubit states
- Quantum non-locality in two three-level systems
- Quantum communication complexity protocol with two entangled qutrits
- Maximal violation of the CGLMP inequality for infinite dimensional states
- Optimal Bell tests do not require maximally entangled states
- Gisin's Theorem for Three Qubits
- On Series of Multiqubit Bell's Inequalities
Cited by in corpus (8)
- All entangled pure states violate a single Bell's inequality
- Communication games reveal preparation contextuality
- There is no anomaly in the nonlocality of two entangled qutrits
- A heralded two-qutrit entangled state
- Measuring higher-dimensional entanglement
- Inequalities detecting entanglement for arbitrary bipartite systems
- Entanglement Detection and Distillation for Arbitrary Bipartite Systems
- Bipartite Bell Inequality and Maximal Violation