# Benchmarking near-term quantum devices with the variational quantum eigensolver and the Lipkin-Meshkov-Glick model

@article{Robbins2021BenchmarkingNQ, title={Benchmarking near-term quantum devices with the variational quantum eigensolver and the Lipkin-Meshkov-Glick model}, author={Kenneth Robbins and Peter J. Love}, journal={Physical Review A}, year={2021} }

The Variational Quantum Eigensolver (VQE) is a promising algorithm for Noisy Intermediate Scale Quantum (NISQ) computation. Verification and validation of NISQ algorithms’ performance on NISQ devices is an important task. We consider the exactly-diagonalizable Lipkin-MeshkovGlick (LMG) model as a candidate for benchmarking NISQ computers. We use the Bethe ansatz to construct eigenstates of the trigonometric LMG model using quantum circuits inspired by the LMG’s underlying algebraic structure… Expand

#### References

SHOWING 1-10 OF 30 REFERENCES

Low-depth circuit ansatz for preparing correlated fermionic states on a quantum computer

- Physics, Mathematics
- Quantum Science and Technology
- 2019

Quantum simulations are bound to be one of the main applications of near-term quantum computers. Quantum chemistry and condensed matter physics are expected to benefit from these technological… Expand

An application benchmark for fermionic quantum simulations.

- Physics
- 2020

It is expected that the simulation of correlated fermions in chemistry and material science will be one of the first practical applications of quantum processors. Given the rapid evolution of quantum… Expand

Quantum gates and architecture for the quantum simulation of the Fermi-Hubbard model

- Physics
- 2016

Quantum computers are the ideal platform for quantum simulations. Given enough coherent operations and qubits, such machines can be leveraged to simulate strongly correlated materials, where… Expand

Ultrafast variational simulation of nontrivial quantum states with long-range interactions

- Physics
- Physical Review A
- 2019

State preparation protocols ideally require as minimal operations as possible, in order to be implemented in near-term, potentially noisy quantum devices. Motivated by long range interactions (LRIs)… Expand

Method to efficiently simulate the thermodynamic properties of the Fermi-Hubbard model on a quantum computer

- Physics
- 2016

Many phenomena of strongly correlated materials are encapsulated in the Fermi-Hubbard model whose thermodynamical properties can be computed from its grand canonical potential according to standard… Expand

Exactly solvable model as a testbed for quantum-enhanced dark matter detection

- Physics
- 2020

We investigate the potential for quantum computers to contribute to the analysis of the results of dark matter direct detection experiments. Careful experimental design could distinguish between the… Expand

Variational Quantum Algorithms

- Computer Science, Physics
- Nature Reviews Physics
- 2021

An overview of the field of Variational Quantum Algorithms is presented and strategies to overcome their challenges as well as the exciting prospects for using them as a means to obtain quantum advantage are discussed. Expand

Scalable Quantum Simulation of Molecular Energies

- Physics
- 2015

We report the first electronic structure calculation performed on a quantum computer without exponentially costly precompilation. We use a programmable array of superconducting qubits to compute the… Expand

Quantum Computing in the NISQ era and beyond

- Computer Science, Physics
- 2018

Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near future, and the 100-qubit quantum computer will not change the world right away, but it should be regarded as a significant step toward the more powerful quantum technologies of the future. Expand

Quantum circuits for strongly correlated quantum systems

- Physics, Computer Science
- ArXiv
- 2008

The method allows one to uncover the exact circuits corresponding to models that exhibit topological order and to stabilizer states, and opens up the possibility of experimentally producing strongly correlated states, their time evolution at zero time, and even thermal superpositions at zero temperature. Expand