Quantum Control with Measurements and Quantum Zeno Dynamics
Quantum Physics
2018-12-19 v2
Abstract
We introduce an efficient iterative method to prepare a target state in Hilbert spaces with high dimensionality using a combination of unitary evolution, measurements, and quantum Zeno dynamics. The latter confines the evolution within Zeno subspaces of decreasing size. This gives an exponential speed up relative to the case of states evolving in the full Hilbert space between projective measurements. We demonstrate our approach on the control problem of rapidly transferring a superfluid into the Mott insulator in the Bose-Hubbard model. We discuss the general applicability of the method by preparing arbitrary superpositions with random Hamiltonians.
Cite
@article{arxiv.1806.07793,
title = {Quantum Control with Measurements and Quantum Zeno Dynamics},
author = {Jens Jakob Sørensen and Mogens Dalgaard and Alexander Holm Kiilerich and Klaus Mølmer and Jacob Sherson},
journal= {arXiv preprint arXiv:1806.07793},
year = {2018}
}