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Analysing Nonlocal Correlations in Three-qubit Partially Entangled States Under Real Conditions
P. Singh,
Published in Springer New York LLC
Volume: 57
Issue: 10
Pages: 3172 - 3189
In this article, we readdress the question of importance of nonlocal correlations under real conditions. For characterizing nonlocal correlations, we use a three-qubit Svetlichny inequality whose violation confirms the existence of genuine nonlocal correlations between the qubits. For our purpose, we consider states in the three-qubit GHZ class states and establish an analytical relations between the expectation value of Svetlichny operator, state parameter, noise parameters, and weak measurement and its reversal operations. Interestingly, we found that the extent of violation of the Svetlichny inequality under the phase damping channel is independent of the state parameter and weak measurement strength for optimal weak measurement reversal strength, hence, bringing in the flexibility to start with any initial state instead of starting with a maximally entangled states only. On the other hand, if we fix the value of reverse weak measurement, then the expectation value of Svetlichny operator first increases, attains a maximum value and then decreases again. For depolarizing noise as well, we found that the weak measurements may be useful for protecting nonlocal correlations against the noise. Our analytical results further show an excellent agreement with numerical results in all above cases. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
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JournalData powered by TypesetInternational Journal of Theoretical Physics
PublisherData powered by TypesetSpringer New York LLC
Open AccessNo