Maximal violation of Clauser-Horne-Shimony-Holt inequality for four-level systems

Abstract

Clauser-Horne-Shimony-Holt inequality for bipartite systems of 4-dimension is studied in detail by employing the unbiased eight-port beam splitters measurements. The uniform formulae for the maximum and minimum values of this inequality for such measurements are obtained. Based on these formulae, we show that an optimal non-maximally entangled state is about 6% more resistant to noise than the maximally entangled one. We also give the optimal state and the optimal angles which are important for experimental realization.

arXiv comment7 pages, three tables

References in corpus (6)

• Bell inequalities for arbitrarily high dimensional systems
• Violations of local realism by two entangled quNits are stronger than for two qubits
• Quantum non-locality in two three-level systems
• Violations of local realism with quNits up to N=16
• Quantum transfer functions, weak nonlocality and relativity
• Maximal violation of Clauser-Horne-Shimony-Holt inequality for two qutrits

Cited by in corpus (4)

• Preparation and characterization of arbitrary states of four-dimensional qudits based on biphotons
• Measurable nonlocal effect of bipartite system during a local cyclic evolution of its subsystem
• Scalable scheme for entangling multiple ququarts using linear optical elements
• Correlations, Bell Inequality Violation & Quantum Entanglement