Mal, Shiladitya ; De, Aditi Sen (2020) Unifying Two Notions of Nonlocality in Quantum Theory Physical Review A . ISSN 0031-899X (print); 1536-6065 (web)
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Official URL: https://arxiv.org/abs/2009.04245
Abstract
Ensembles containing orthogonal product states are found to be indistinguishable under local operations and classical communication (LOCC), thereby showing irreversibility in the preparation and distinguishing processes, which is commonly known as nonlocality without entanglement. On the other hand, correlations arising from incompatible measurements on entangled states lead to Bell-nonlocality. We unify these two concepts from the change in certain property incurred in the ensemble under a suitable global unitary transformation. Specifically, we prove that under controlled-NOT (CNOT) operation, a full product basis can create entangled states if and only if the full bases or any subspace of it become irreducible in the process of LOCC discrimination. The proposed criteria quantifies the amount of nonlocality associated with the sets of product states which are even incomplete. For a set having entangled states, we modify the quantity accordingly and show that it can provide an explanation for the phenomena of more nonlocality with less entanglement.
Item Type: | Article |
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Keywords: | Quantum Physics (quant-ph), FOS: Physical sciences, FOS: Physical sciences |
ID Code: | 125691 |
Deposited On: | 12 Oct 2022 08:33 |
Last Modified: | 12 Oct 2022 08:33 |
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