Quantum theory based on real numbers can be experimentally falsified.

  title={Quantum theory based on real numbers can be experimentally falsified.},
  author={Marc-Olivier Renou and David Trillo and Mirjam Weilenmann and Thinh P Le and Armin Tavakoli and Nicolas Gisin and Antonio Ac{\'i}n and Miguel Navascu{\'e}s},
Although complex numbers are essential in mathematics, they are not needed to describe physical experiments, as those are expressed in terms of probabilities, hence real numbers. Physics, however, aims to explain, rather than describe, experiments through theories. Although most theories of physics are based on real numbers, quantum theory was the first to be formulated in terms of operators acting on complex Hilbert spaces1,2. This has puzzled countless physicists, including the fathers of the… 
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Figure 1: Conceptual sketch of the three-party game used by Chen and colleagues and Li and colleagues to demonstrate that a real quantum theory cannot describe certain measurements on small quantum
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Ivan Šupić,1 Joseph Bowles,2 Marc-Olivier Renou,2 Antonio Acín,2, 3 and Matty J. Hoban4, 5 CNRS, LIP6, Sorbonne Université, 4 place Jussieu, 75005 Paris, France ICFO-Institut de Ciencies Fotoniques,
Recycling nonlocality in a quantum network
Ya-Li Mao,1, 2, ∗ Zheng-Da Li,1, 2, ∗ Anna Steffinlongo,3, 4, 5 Bixiang Guo,1, 2 Biyao Liu,1, 2 Shufeng Xu,1, 2 Nicolas Gisin,6, 7, † Armin Tavakoli,4, 5, ‡ and Jingyun Fan1, 2, § Shenzhen Institute


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