Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm

Abstract

Apart from the Bell nonlocality, which deals with the correlations generated from the local input-output statistics, quantum theory exhibits another kind of nonlocality that involves the indistiguishability of the locally preparable set of multipartite states. While Bell-type nonlocality cannot be distilled from a given local correlation, it is already reported that the latter kind of nonlocality can be activated from a "local", i.e., locally distinguishable set of states. Although, recently it is shown that a stronger notion of such a nonlocality, which deals with elimination instead of discrimination, can be activated from locally preparable bipartite states of dimension 7 $\times$ 8, the present work observes that the same notion can be demonstrated even in lower dimensional multipartite systems. Importantly,the strongest possible version of such an activation is further depicted here, where none of the transformed product states can be eliminated, even if all but one of the parties come together.

7+3 pages. Comments are welcome

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Cited by in corpus (8)

• Genuine Activation of Quantum Nonlocality: Stronger Than Local Indistinguishability
• Locally unidentifiable subset of quantum states and its resourcefulness in secret password distribution
• Exploring strong locality : Quantum state discrimination regime and beyond
• Classifying locally distinguishable sets: No activation across bipartitions
• Conclusive Local State Marking: More Nonlocality With No Entanglement
• Single-shot antidistinguishability of unitary operations
• Global versus Local Discrimination of Locally Implementable Multipartite Unitaries
• Activate genuine nonlocality from distinguishable sets in tripartite systems