## Quantum-classical computation of Schwinger model dynamics using quantum computers

## Abstract

We present a quantum-classical algorithm to study the dynamics of the two-spatial-site Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge, and parity, the number of qubits needed to perform computation is reduced by a factor of ~5, removing exponentially large unphysical sectors from the Hilbert space. Our work opens an avenue for exploration of other lattice quantum field theories, such as quantum chromodynamics, where classical computation is used to find symmetry sectors in which the quantum computer evaluates the dynamics of quantum fluctuations.

- Authors:

- Univ. of Washington, Seattle, WA (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of the Basque Country, Bilbao (Spain)
- Univ. of the Basque Country, Bilbao (Spain); Basque Foundation for Science, Bilbao (Spain)

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

- OSTI Identifier:
- 1476420

- Alternate Identifier(s):
- OSTI ID: 1474766

- Grant/Contract Number:
- AC05-00OR22725; FG02-00ER41132; DEAC05-00OR22725

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Physical Review A

- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 3; Journal ID: ISSN 2469-9926

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING

### Citation Formats

```
Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., and Savage, M. J. Quantum-classical computation of Schwinger model dynamics using quantum computers. United States: N. p., 2018.
Web. doi:10.1103/PhysRevA.98.032331.
```

```
Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., & Savage, M. J. Quantum-classical computation of Schwinger model dynamics using quantum computers. United States. doi:10.1103/PhysRevA.98.032331.
```

```
Klco, N., Dumitrescu, E. F., McCaskey, A. J., Morris, T. D., Pooser, R. C., Sanz, M., Solano, E., McCaskey, A. J., and Savage, M. J. Fri .
"Quantum-classical computation of Schwinger model dynamics using quantum computers". United States. doi:10.1103/PhysRevA.98.032331. https://www.osti.gov/servlets/purl/1476420.
```

```
@article{osti_1476420,
```

title = {Quantum-classical computation of Schwinger model dynamics using quantum computers},

author = {Klco, N. and Dumitrescu, E. F. and McCaskey, A. J. and Morris, T. D. and Pooser, R. C. and Sanz, M. and Solano, E. and McCaskey, A. J. and Savage, M. J.},

abstractNote = {We present a quantum-classical algorithm to study the dynamics of the two-spatial-site Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge, and parity, the number of qubits needed to perform computation is reduced by a factor of ~5, removing exponentially large unphysical sectors from the Hilbert space. Our work opens an avenue for exploration of other lattice quantum field theories, such as quantum chromodynamics, where classical computation is used to find symmetry sectors in which the quantum computer evaluates the dynamics of quantum fluctuations.},

doi = {10.1103/PhysRevA.98.032331},

journal = {Physical Review A},

number = 3,

volume = 98,

place = {United States},

year = {2018},

month = {9}

}

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Cited by: 15 works

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