Quantifying tolerance of a nonlocal multi-qudit state to any local noise

TL;DR

This paper introduces a comprehensive method to quantify how much local noise a nonlocal multi-qudit quantum state can tolerate across various measurement scenarios, providing new bounds for different states and analyzing their behavior as system size grows.

Contribution

It develops a general framework for assessing noise tolerance in nonlocal multi-qudit states, deriving new bounds for several important quantum states and their asymptotic properties.

Findings

Derived bounds for noise tolerance of arbitrary nonlocal N-qudit states

Established precise noise bounds for GHZ, W, and Dicke states

Analyzed asymptotic behavior of noise tolerance for large N and d

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 d.