Bulletin of the American Physical Society
53rd Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 67, Number 7
Monday–Friday, May 30–June 3 2022; Orlando, Florida
Session N01: Poster Session II (4:00-6:00pm, EDT)
4:00 PM,
Wednesday, June 1, 2022
Room: Grand Ballroom C
Abstract: N01.00104 : Quantum search by the nonlinear Schrodinger equation with a generalized cubic-quintic nonlinearity*
Presenter:
Benjamin D DalFavero
(Creighton University)
Authors:
Benjamin D DalFavero
(Creighton University)
Alexander Meill
(Department of Mathematics, Univeristy of California, San Diego)
David Meyer
(Department of Mathematics, University of California, San Diego)
Thomas Wong
(Creighton University)
Jonathan P Wrubel
(Creighton University)
Markov chain, allow the efficient solution to some spatial search problems. At
low temperatures and a high number of atoms, two- and three-body interac-
tions cause Bose-Einstein condensates to evolve according to an effective, non-
linear Schr ¨odinger equation. These effective nonlinearities can be exploited to
solve a search problem faster than the linear case. This speedup comes at the
cost of increased precision needed in the timing of the search, as well as a lower
bound on the number of bosonic walkers necessary to observe this speedup.
We will present our work analyzing the computational speedups afforded by
continuous-time quantum walks with effective nonlinearities for search prob-
lems with multiple correct answers.
*This material is based upon work supported by the National Science Foundation/EPSCoR RII Track-1: Emergent Quantum Materials and Technologies (EQUATE), Award OIA-2044049.
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