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Title: Unitary Qubit Lattice Algorithm for Three-Dimensional Vortex Solitons in Hyperbolic Self-Defocusing Media

Abstract

A qubit unitary lattice algorithm is developed for the 3D generalized Gross-Pitaevskii equation in which dark optical vortices are stabilized by a transverse bright soliton. It is shown how to generalize the unitary collision operator in order to switch the elliptic operator into a hyperbolic one. These unitary algorithms can be run on a quantum computer.

Authors:
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  1. OSTI
Publication Date:
DOE Contract Number:  
FC02-01ER54648; FG02-91ER54109
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Plasma Science and Fusion Center
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1881428
DOI:
https://doi.org/10.7910/DVN/OVNHOU

Citation Formats

Vahala, Linda, Vahala, George, Soe, Min, Ram, Abhay, and Yepez, Jeffrey. Unitary Qubit Lattice Algorithm for Three-Dimensional Vortex Solitons in Hyperbolic Self-Defocusing Media. United States: N. p., 2019. Web. doi:10.7910/DVN/OVNHOU.
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Vahala, Linda, Vahala, George, Soe, Min, Ram, Abhay, & Yepez, Jeffrey. Unitary Qubit Lattice Algorithm for Three-Dimensional Vortex Solitons in Hyperbolic Self-Defocusing Media. United States. doi:https://doi.org/10.7910/DVN/OVNHOU
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Vahala, Linda, Vahala, George, Soe, Min, Ram, Abhay, and Yepez, Jeffrey. 2019. "Unitary Qubit Lattice Algorithm for Three-Dimensional Vortex Solitons in Hyperbolic Self-Defocusing Media". United States. doi:https://doi.org/10.7910/DVN/OVNHOU. https://www.osti.gov/servlets/purl/1881428. Pub date:Wed Jun 26 04:00:00 UTC 2019
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@article{osti_1881428,
title = {Unitary Qubit Lattice Algorithm for Three-Dimensional Vortex Solitons in Hyperbolic Self-Defocusing Media},
author = {Vahala, Linda and Vahala, George and Soe, Min and Ram, Abhay and Yepez, Jeffrey},
abstractNote = {A qubit unitary lattice algorithm is developed for the 3D generalized Gross-Pitaevskii equation in which dark optical vortices are stabilized by a transverse bright soliton. It is shown how to generalize the unitary collision operator in order to switch the elliptic operator into a hyperbolic one. These unitary algorithms can be run on a quantum computer.},
doi = {10.7910/DVN/OVNHOU},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2019},
month = {6}
}
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DOI: https://doi.org/10.7910/DVN/OVNHOU
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