Violations of local realism by two entangled quNits are stronger than for two qubits

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Abstract
Via a numerical linear optimization method we show that violations of local realism are stronger for two maximally entangled quNits, than for two qubits. The magnitude of violation increases with N. It is objectively defined by the required minimal admixture of pure noise to the maximally entangled state such that a local realistic description is still possible. Operational realization of the two quNit measurements exhibiting strong violations of local realism involves entangled photons and unbiased multiport beamsplitters. The approach, extending at present to N=9, neither involves any simplifications, or additional assumptions, nor does it utilize any symmetries of the problem.

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