Related papers: Efficient discrimination between real and complex quantum theories

Efficient discrimination between real and complex quantum theories

URL: http://arxiv.org/abs/2405.03013v1
Date: Sun, 5 May 2024 17:47:31 GMT
Title: Efficient discrimination between real and complex quantum theories
Authors: Josep Batle, Tomasz Białecki, Tomasz Rybotycki, Jakub Tworzydło, Adam Bednorz,
Abstract summary: We show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We improve the test to show the impossibility of a quantum theory based on real numbers by a larger ratio of complex-to-real bound on a Bell-type parameter. In contrast to previous theoretical and experimental proposals the test requires three setting for the parties $A$ and $C$, but also six settings for the middle party $B$, assuming separability of the sources. The bound for this symmetric configuration imposed on a real theory is $14.88$ whilst the complex maximum is $18$. This large theoretical difference enables us to demonstrate the concomitant experimental violation on IBM quantum computer via a designed quantum network, obtaining as a result $15.44$ at more than $80$ standard deviations above the real bound.

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