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arXiv:0810.1923quant-ph

Simulating quantum systems using real Hilbert spaces

Matthew McKague, Michele Mosca, Nicolas Gisin

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Abstract

We develop a means of simulating the evolution and measurement of a multipartite quantum state under discrete or continuous evolution using another quantum system with states and operators lying in a real Hilbert space. This extends previous results which were unable to simulate local evolution and measurements with local operators and was limited to discrete evolution. We also detail applications to Bell inequalities and self-testing of quantum apparatus.

arXiv comments
4 pages
Journal reference
PRL 102(2): 020505 (2009)
DOI
doi:10.1103/PhysRevLett.102.020505
Subjects
quant-phQuantum Physics

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  1. Quantum theory based on real numbers can be experimentally falsified 1 comment

    • Yes, the (very nice) game you described gives a separation between classical and quantum mechanics. However, there is a strategy in real quantum mechanics which also achieves a 100% winrate for the players (you just need higher dimensional Hilbert spaces for each player).…

      alubeixuView on HNParent context

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