Simulating quantum systems using real Hilbert spaces

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.

4 pages

References in corpus (2)

• Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalities
• A 2 rebit gate universal for quantum computing

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