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Real-time quantum calculations of phase shifts using wave packet time delays

Publication ,  Journal Article
Gustafson, E; Zhu, Y; Dreher, P; Linke, NM; Meurice, Y
Published in: Physical Review D
September 1, 2021

We present a method to extract the phase shift of a scattering process using the real-time evolution in the early and intermediate stages of the collision in order to estimate the time delay of a wave packet. This procedure is convenient when using noisy quantum computers for which the asymptotic out-state behavior is unreachable. We demonstrate that the challenging Fourier transforms involved in the state preparation and measurements can be implemented in 1+1 dimensions with current trapped ion devices and IBM quantum computers. We compare quantum computations of the time delays obtained in the one-particle quantum mechanics limit and the scalable quantum field theory formulation with accurate numerical results. We discuss the finite volume effects in the Wigner formula connecting time delays to phase shifts. The results reported involve two- and four-qubit calculations, and we discuss the possibility of larger scale computations in the near future.

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Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

September 1, 2021

Volume

104

Issue

5
 

Citation

APA
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Gustafson, E., Zhu, Y., Dreher, P., Linke, N. M., & Meurice, Y. (2021). Real-time quantum calculations of phase shifts using wave packet time delays. Physical Review D, 104(5). https://doi.org/10.1103/PhysRevD.104.054507
Gustafson, E., Y. Zhu, P. Dreher, N. M. Linke, and Y. Meurice. “Real-time quantum calculations of phase shifts using wave packet time delays.” Physical Review D 104, no. 5 (September 1, 2021). https://doi.org/10.1103/PhysRevD.104.054507.
Gustafson E, Zhu Y, Dreher P, Linke NM, Meurice Y. Real-time quantum calculations of phase shifts using wave packet time delays. Physical Review D. 2021 Sep 1;104(5).
Gustafson, E., et al. “Real-time quantum calculations of phase shifts using wave packet time delays.” Physical Review D, vol. 104, no. 5, Sept. 2021. Scopus, doi:10.1103/PhysRevD.104.054507.
Gustafson E, Zhu Y, Dreher P, Linke NM, Meurice Y. Real-time quantum calculations of phase shifts using wave packet time delays. Physical Review D. 2021 Sep 1;104(5).

Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

September 1, 2021

Volume

104

Issue

5