Deterministic carving of quantum states with Grover's algorithm

POSTER

Abstract

We show that iteration of a few ( N^{1/4}) unitary steps of Grover's algorithm suffices to perfectly prepare a Dicke state of N atoms in a cavity. We also show that a few subsequent Grover steps can be employed to generate GHZ and Cat states. The Grover iteration is physically realized by global qubit rotations and by the phase shift of single photons reflected on the cavity. Our protocols are deterministic and require no individual addressing of the atoms.

*This material is based upon work supported by the U.S. Department of Energy Office of Science National Quantum Information Science Research Centers as part of the Q-NEXT center, as well as support from NSF Grant No. 2016136 for the QLCI center Hybrid Quantum Architectures and Networks, and NSF Grant No. 2228725. KM acknowledges funding from the Carlsberg Foundation through the "Semper Ardens" Research Project QCooL and from the Danish National Research Foundation (Center of Excellence "Hy-Q," grant number DNRF139).

Publication: Two upcoming preprints:

(1) O. Nagib, M. Saffman, and K. Mølmer, Deterministic carving of quantum states with Grover's algorithm (2025)

(2) O. Nagib, M. Saffman, and K. Mølmer, Efficient preparation of entangled states in cavity QED with Grover's algorithm (2025)

Presenters

  • Omar Nagib

    • University of Wisconsin - Madison

Authors

  • Omar Nagib

    • University of Wisconsin - Madison

  • Mark Saffman

    • University of Wisconsin - Madison/Infleqtion
    • Department of Physics, University of Wisconsin - Madison and Infleqtion, Inc.
    • University of Wisconsin - Madison
    • University of Wisconsin - Madison/Infleqtion, Inc.
    • University of Wisconsin - Madison and Infleqtion, Inc.

  • Klaus Molmer

    • University of Copenhagen