Quantum Simulation of Noncausal Kinematic Transformations
Quantum Physics
2015-06-15 v2 Quantum Gases
Abstract
We propose the implementation of Galileo group symmetry operations or, in general, linear coordinate transformations, in a quantum simulator. With an appropriate encoding, unitary gates applied to our quantum system give rise to Galilean boosts or spatial and time parity operations in the simulated dynamics. This framework provides us with a flexible toolbox that enhances the versatility of quantum simulation theory, allowing the direct access to dynamical quantities that would otherwise require full tomography. Furthermore, this method enables the study of noncausal kinematics and phenomena beyond special relativity in a quantum controllable system.
Cite
@article{arxiv.1305.0506,
title = {Quantum Simulation of Noncausal Kinematic Transformations},
author = {U. Alvarez-Rodriguez and J. Casanova and L. Lamata and E. Solano},
journal= {arXiv preprint arXiv:1305.0506},
year = {2015}
}
Comments
5 pages, 1 figure. Published in Physical Review Letters