Quantum control with measurements and quantum Zeno dynamics

J. J. W. H. Sørensen, M. Dalgaard, A. H. Kiilerich, K. Mølmer, and J. F. Sherson
Phys. Rev. A 98, 062317 – Published 14 December 2018

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 speedup 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.

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  • Received 22 June 2018
  • Revised 2 October 2018

DOI:https://doi.org/10.1103/PhysRevA.98.062317

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

J. J. W. H. Sørensen, M. Dalgaard, A. H. Kiilerich, K. Mølmer, and J. F. Sherson*

  • Department of Physics and Astronomy, Aarhus University, Ny Munkegade 120, 8000 Aarhus C, Denmark

  • *sherson@phys.au.dk

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Issue

Vol. 98, Iss. 6 — December 2018

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