Work

Uncertainty principle as a postquantum nonlocality witness for the continuous-variable multimode scenario

Year: 2019

Type: article

Abstract: The uncertainty principle is one of the central concepts in quantum theory. Different forms of this principle have been discussed in various foundational and information theoretic topics. Whereas in the discrete input-output scenario the limited nonlocal behavior of quantum theory has been explained by the fine-grained uncertainty relation, in the continuous-variable paradigm the Robertson-Schr\"odinger (RS) uncertainty relation has been used to detect multimode entanglement. Here we show that the RS uncertainty relation plays an important role in discriminating between quantum and postquantum nonlocal correlations in the multimode continuous outcome scenario. We provide a class of $m$-mode postquantum nonlocal correlations with a continuous outcome spectrum. While nonlocality of the introduced class of correlations is established through the Calvalcanti-Foster-Reid-Drummond class of Bell inequalities, the RS uncertainty relation detects their postquantum nature. Our result suggests a wider role of the uncertainty principle in the study of nonlocality in continuous-variable multimode systems.

Source: Physical Review A

DOI: 10.1103/physreva.99.012105

Authors: Prathik Cherian J, Amit Mukherjee, Arup Roy, Some Sankar Bhattacharya, Manik Banik

Institutions: Homi Bhabha National Institute, Institute of Mathematical Sciences, Bose Institute, University of Hong Kong, S.N. Bose National Centre for Basic Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Institute of Mathematical Sciences, Department of Science and Technology, Ministry of Science and Technology, India

OpenAlex ID: W2809544763

FWCI: 0.11

Cites: 55

Cited by: 2

Related to: 10