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Full Bell locality of a noisy state for N≥ 3 nonlocally entangled qudits

Abstract

Bounds, expressed in terms of d and N, on full Bell locality of a quantum state for N≥ 3 nonlocally entangled qudits (of a dimension d≥ 2) mixed with white noise are known, to our knowledge, only within full separability of this noisy N-qudit state. For the maximal violation of general Bell inequalities by an N-partite quantum state, we specify the analytical upper bound expressed in terms of dilation characteristics of this state, and this allows us to find new general bounds in d, N, valid for all d≥ 2 and all N≥ 3, on full Bell locality under generalized quantum measurements of (i) the N-qudit GHZ state mixed with white noise and (ii) an arbitrary N-qudit state mixed with white noise. The new full Bell locality bounds are beyond the known ranges for full separability of these noisy N-qudit states.

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