Simulating Quantum Systems Using Real Hilbert Spaces

Matthew McKague, Michele Mosca, Nicolas Gisin
2009 Physical Review Letters  
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.
doi:10.1103/physrevlett.102.020505 pmid:19257258 fatcat:ijhdfbmddbcaljjheyk5w7gloi