# Projective cooling for the transverse Ising model

## Abstract

We demonstrate the feasibility of ground state preparation for the transverse Ising model using projective cooling, and show that the algorithm can effectively construct the ground state in the disordered (paramagnetic) phase. On the other hand, significant temperature effects are encountered in the ordered (ferromagnetic) phase requiring larger lattices to accurately simulate.

- Authors:

- Publication Date:

- Research Org.:
- Univ. of Iowa, Iowa City, IA (United States)

- Sponsoring Org.:
- Univ. of Iowa, Iowa City, IA (United States); USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1616364

- Alternate Identifier(s):
- OSTI ID: 1616290

- Grant/Contract Number:
- SC0019139

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 101 Journal Issue: 7; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Quantum Computing; Quantum Field Theory; Lattice Field Theory

### Citation Formats

```
Gustafson, Erik J. Projective cooling for the transverse Ising model. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.101.071504.
```

```
Gustafson, Erik J. Projective cooling for the transverse Ising model. United States. doi:https://doi.org/10.1103/PhysRevD.101.071504
```

```
Gustafson, Erik J. Tue .
"Projective cooling for the transverse Ising model". United States. doi:https://doi.org/10.1103/PhysRevD.101.071504.
```

```
@article{osti_1616364,
```

title = {Projective cooling for the transverse Ising model},

author = {Gustafson, Erik J.},

abstractNote = {We demonstrate the feasibility of ground state preparation for the transverse Ising model using projective cooling, and show that the algorithm can effectively construct the ground state in the disordered (paramagnetic) phase. On the other hand, significant temperature effects are encountered in the ordered (ferromagnetic) phase requiring larger lattices to accurately simulate.},

doi = {10.1103/PhysRevD.101.071504},

journal = {Physical Review D},

number = 7,

volume = 101,

place = {United States},

year = {2020},

month = {4}

}

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DOI: https://doi.org/10.1103/PhysRevD.101.071504

DOI: https://doi.org/10.1103/PhysRevD.101.071504

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