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 the quantum apparatus.
- Publication:
-
Physical Review Letters
- Pub Date:
- January 2009
- DOI:
- 10.1103/PhysRevLett.102.020505
- arXiv:
- arXiv:0810.1923
- Bibcode:
- 2009PhRvL.102b0505M
- Keywords:
-
- 03.67.Ac;
- 03.65.Ud;
- 03.67.Mn;
- Quantum algorithms protocols and simulations;
- Entanglement and quantum nonlocality;
- Entanglement production characterization and manipulation;
- Quantum Physics
- E-Print:
- 4 pages