# Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing

## Abstract

The only known way to study quantum field theories in nonperturbative regimes is using numerical calculations regulated on discrete space-time lattices. Such computations, however, are often faced with exponential signal-to-noise challenges that render key physics studies untenable even with next generation classical computing. Here, a method is presented by which the output of small-scale quantum computations on noisy intermediate-scale quantum era hardware can be used to accelerate larger-scale classical field theory calculations through the construction of optimized interpolating operators. The method is implemented and studied in the context of the 1+1-dimensional Schwinger model, a simple field theory which shares key features with the standard model of nuclear and particle physics.

- Authors:

- Publication Date:

- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)

- OSTI Identifier:
- 1601727

- Alternate Identifier(s):
- OSTI ID: 1635372

- Grant/Contract Number:
- SC0011090

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- Journal Name: Physical Review Letters Journal Volume: 124 Journal Issue: 8; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; lattice QCD; nuclear structure & decays; quantum computation; quantum simulation

### Citation Formats

```
Avkhadiev, A., Shanahan, P. E., and Young, R. D. Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing. United States: N. p., 2020.
Web. doi:10.1103/PhysRevLett.124.080501.
```

```
Avkhadiev, A., Shanahan, P. E., & Young, R. D. Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing. United States. doi:https://doi.org/10.1103/PhysRevLett.124.080501
```

```
Avkhadiev, A., Shanahan, P. E., and Young, R. D. Wed .
"Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing". United States. doi:https://doi.org/10.1103/PhysRevLett.124.080501.
```

```
@article{osti_1601727,
```

title = {Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing},

author = {Avkhadiev, A. and Shanahan, P. E. and Young, R. D.},

abstractNote = {The only known way to study quantum field theories in nonperturbative regimes is using numerical calculations regulated on discrete space-time lattices. Such computations, however, are often faced with exponential signal-to-noise challenges that render key physics studies untenable even with next generation classical computing. Here, a method is presented by which the output of small-scale quantum computations on noisy intermediate-scale quantum era hardware can be used to accelerate larger-scale classical field theory calculations through the construction of optimized interpolating operators. The method is implemented and studied in the context of the 1+1-dimensional Schwinger model, a simple field theory which shares key features with the standard model of nuclear and particle physics.},

doi = {10.1103/PhysRevLett.124.080501},

journal = {Physical Review Letters},

number = 8,

volume = 124,

place = {United States},

year = {2020},

month = {2}

}

DOI: https://doi.org/10.1103/PhysRevLett.124.080501

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