Simulating quantum systems using real Hilbert spaces

Phys Rev Lett. 2009 Jan 16;102(2):020505. doi: 10.1103/PhysRevLett.102.020505. Epub 2009 Jan 15.


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 the quantum apparatus.