Quantum Simulation of Noncausal Kinematic Transformations
arXiv:1305.0506 · doi:10.1103/PhysRevLett.111.090503
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.
5 pages, 1 figure. Published in Physical Review Letters
References in corpus (10)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Simulated Quantum Computation of Molecular Energies
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Quantum simulation of the Klein paradox with trapped ions
- Klein tunneling and Dirac potentials in trapped ions
- Digital Quantum Simulation of the Holstein Model in Trapped Ions
- Quantum simulation of small-polaron formation with trapped ions
- Quantum Simulations of Relativistic Quantum Physics in Circuit QED
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