Quantum Control with Measurements and Quantum Zeno Dynamics

TL;DR

This paper presents an efficient iterative quantum control method combining unitary evolution, measurements, and Zeno dynamics to rapidly prepare target states in high-dimensional Hilbert spaces, demonstrated on Bose-Hubbard models.

Contribution

The authors introduce a novel quantum control technique that leverages quantum Zeno dynamics for exponential speed-up in state preparation tasks.

Findings

Exponential speed-up in state preparation using Zeno dynamics.

Successful demonstration on Bose-Hubbard model control problem.

Applicability to arbitrary superpositions with random Hamiltonians.

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.