# 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:

- 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.

```
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

```
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 00:00:00 EDT 2019
```

```
@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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Works referencing / citing this record:

##
Unitary qubit lattice algorithm for three-dimensional vortex solitons in hyperbolic self-defocusing media

journal, August 2019

- Vahala, Linda; Vahala, George; Soe, Min
- Communications in Nonlinear Science and Numerical Simulation, Vol. 75