Efficient discrimination between real and complex quantum theories

• URL: http://arxiv.org/abs/2405.03013v2
• Date: Mon, 13 Jan 2025 15:57:36 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.
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• 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 settings for the parties $A$ and $C$, but also six settings for the middle party $B$, assuming separability of the sources. The bound we found for this symmetric configuration imposed on a real theory is $14.69$ while 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, without resorting to error mitigation, obtaining as a result $15.44$ at more than $100$ standard deviations above the found real bound.

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