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Uncertainty principle is one of the central concepts in quantum theory.Different forms of this particular principle have been discoursed in variousfoundational and information theoretic topics. In the discrete input-outputscenario the limited nonlocal behavior of quantum theory has been explained byfine-grained uncertainty relation. On the other hand, in continuous variableparadigm Robertson-Schrodinger (RS) uncertainty relation has been used todetect multi-mode entanglement. Here we show that RS uncertainty relation playsan important role to discriminate between quantum and post-quantum nonlocalcorrelations in multi-mode continuous outcome scenario. We provide a class ofm-mode post-quantum nonlocal correlations with continuous outcome spectrum.While nonlocality of the introduced class of correlations is establishedthrough Calvalcanti-Foster-Reid-Drummond (CFRD) class of Bell inequalities, RSuncertainty relation detects their post-quantum nature. Our result is a hinttowards a wider role of uncertainty principle in the study of nonlocality incontinuous variable multi-mode systems.

Uncertainty principle as post-quantum nonlocality witness for continuous variable multi-mode scenario