Abstract
We present a general approach for quantifying tolerance of a nonlocal N-partite state to any local noise under different classes of quantum correlation scenarios with arbitrary numbers of settings and outcomes at each site. This allows us to derive new precise bounds in d and N on noise tolerances for: (i) an arbitrary nonlocal N-qudit state; (ii) the N-qudit Greenberger–Horne–Zeilinger (GHZ) state; (iii) the N-qubit W state and the N-qubit Dicke states, and to analyse asymptotics of these precise bounds for large N and
Highlights
Nonlocality [1,2,3] of an N-qudit quantum state, in the sense of its violation of a Bell inequality, is a major resource for developing quantum information technologies
(1 − β) ζ loc + βρd,N, β ∈ [0, 1], with an arbitrary local noise and, more generally, bounds on the tolerance of a nonlocal N-qudit state ρd,N to any local noise are not, to our knowledge, known in a general N-qudit case, though, for a nonlocal family of joint probabilities under a bipartite (N = 2) correlation scenario, the similar concept—the resistance to noise—was introduced in [21] and further discussed in [5]
Due to the general framework for Bell nonlocality developed in [4,22,23], we present a consistent approach to quantifying tolerance of a nonlocal N-partite quantum state to any local noise under different classes of quantum correlation scenarios with arbitrary numbers of settings and any spectral types of outcomes at each site
Summary
Nonlocality [1,2,3] of an N-qudit quantum state, in the sense of its violation of a Bell inequality, is a major resource for developing quantum information technologies. Due to the general framework for Bell nonlocality developed in [4,22,23], we present a consistent approach to quantifying tolerance of a nonlocal N-partite quantum state to any local noise under different classes of quantum correlation scenarios with arbitrary numbers of settings and any spectral types of outcomes at each site. Greenberger-Horne-Zeilinger (GHZ) state; (iii) the N-qubit W state and the N-qubit Dicke states and to analyse asymptotics of these precise new bounds for large N and d
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