# Variational Quantum Eigensolver for Frustrated Quantum Systems

@article{Uvarov2020VariationalQE, title={Variational Quantum Eigensolver for Frustrated Quantum Systems}, author={Alexey Uvarov and Jacob D. Biamonte and Dmitry Yudin}, journal={ArXiv}, year={2020}, volume={abs/2005.00544} }

Hybrid quantum-classical algorithms have been proposed as a potentially viable application of quantum computers. A particular example - the variational quantum eigensolver, or VQE - is designed to determine a global minimum in an energy landscape specified by a quantum Hamiltonian, which makes it appealing for the needs of quantum chemistry. Experimental realizations have been reported in recent years and theoretical estimates of its efficiency are a subject of intense effort. Here we consider…

## 19 Citations

Data from "Probing ground state properties of the kagome antiferromagnetic Heisenberg model using the Variational Quantum Eigensolver"/wf_cost_fun_2x6_gradlog_ansatz_comparison

- Physics
- 2021

Finding and probing the ground states of spin lattices, such as the antiferromagnetic Heisenberg model on the kagome lattice (KAFH), is a very challenging problem on classical computers and only…

Classically efficient quantum scalable Fermi-Hubbard benchmark

- Computer Science, PhysicsPhysical Review A
- 2022

This work proposes and implements a practical, application-based benchmark that calculates the energy of the ground state in the single particle subspace of a 1-D Fermi Hubbard model, a problem which is efficient to solve classically.

Fundamental limitations on optimization in variational quantum algorithms

- Computer Science, PhysicsArXiv
- 2022

It is proved that for a broad class of such random circuits, the variation range of the cost function via adjusting any local quantum gate within the circuit vanishes exponentially in the number of qubits with a high probability.

Probing ground-state properties of the kagome antiferromagnetic Heisenberg model using the variational quantum eigensolver

- PhysicsPhysical Review B
- 2022

Finding and probing the ground states of spin lattices, such as the antiferromagnetic Heisenberg model on the kagome lattice (KAFH), is a very challenging problem on classical computers and only…

Say NO to Optimization: A Non-Orthogonal Quantum Eigensolver

- Biology
- 2022

A balanced description of both static and dynamic correlations in electronic systems with nearly degenerate low-lying states presents a challenge for multi-conﬁgurational methods on classical…

Symmetry enhanced variational quantum eigensolver

- Computer Science
- 2022

The variational quantum-classical algorithms are the most promising approach for achieving quantum advantage on near-term quantum simulators. Among these methods, the variational quantum eigensolver…

Variational Power of Quantum Circuit Tensor Networks

- PhysicsPhysical Review X
- 2022

Reza Haghshenas,1, ∗ Johnnie Gray,1, † Andrew C. Potter,2, 3 and Garnet Kin-Lic Chan1, ‡ Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California…

Variational quantum eigensolver for SU(N) fermions

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

Variational quantum algorithms aim at harnessing the power of noisy intermediate-scale quantum computers, by using a classical optimizer to train a parameterized quantum circuit to solve tractable…

Cost function dependent barren plateaus in shallow parametrized quantum circuits

- Computer ScienceNature communications
- 2021

This work rigorously proves two results, assuming V(θ) is an alternating layered ansatz composed of blocks forming local 2-designs, that establish a connection between locality and trainability.

Probing many-body localization by excited-state VQE

- Physics
- 2021

Non-equilibrium physics including many-body localization (MBL) has attracted increasing attentions, but theoretical approaches of reliably studying non-equilibrium properties remain quite limited. In…

## References

SHOWING 1-10 OF 109 REFERENCES

and P

NAT

- Springer Reference Medizin
- 2019

Apesar da gestão de carreiras ser uma preocupação recente no quadro da gestão das relações de trabalho, é hoje evidente a crise em que se encontra a forma tradicional de abordagem desta problemática.…

Generalization properties of neural network approximations to frustrated magnet ground states

- PhysicsNature Communications
- 2020

The authors show that limited generalization capacity of neural network representations of quantum states is responsible for convergence problems for frustrated systems.

Increasing the Representation Accuracy of Quantum Simulations of Chemistry without Extra Quantum Resources

- PhysicsPhysical Review X
- 2020

Proposals for near-term experiments in quantum chemistry on quantum computers leverage the ability to target a subset of degrees of freedom containing the essential quantum behavior, sometimes called…

Minimum hardware requirements for hybrid quantum–classical DMFT

- PhysicsQuantum Science and Technology
- 2020

It is found quantum-classical DMFT calculations can be run on the next generation of NISQ devices if combined with the recompilation techniques developed in this work.