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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.

Publication: Two upcoming preprints:<br><br>(1) O. Nagib, M. Saffman, and K. Mølmer, Deterministic carving of quantum states with Grover's algorithm (2025)<br><br>(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, University of Wisconsin - Madison/Infleqtion, Inc., Department of Physics, University of Wisconsin - Madison and Infleqtion, Inc., University of Wisconsin - Madison, University of Wisconsin - Madison and Infleqtion, Inc.

  • Klaus Molmer

    University of Copenhagen