Simulating Quantum Systems Using Real Hilbert Spaces

Matthew McKague, Michele Mosca, and Nicolas Gisin

Phys. Rev. Lett. 102, 020505 – Published 15 January 2009

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 the quantum apparatus.

Received 21 October 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.020505

Authors & Affiliations

Matthew McKague

Institute for Quantum Computing and Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada

Michele Mosca

Institute for Quantum Computing and Department of Combinatorics & Optimization, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada and St. Jeromes University, and Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

Nicolas Gisin