# Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice

@inproceedings{Kattemolle2021VariationalQE, title={Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice}, author={Joris Kattemolle and Jasper van Wezel}, year={2021} }

Establishing the nature of the ground state of the Heisenberg antiferromagnet (HAFM) on the kagome lattice is well known to be a prohibitively difficult problem for classical computers. Here, we give a detailed proposal for a Variational Quantum Eigensolver (VQE) with the aim of solving this physical problem on a quantum computer. At the same time, this VQE constitutes an explicit proposal for showing a useful quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) devices because of its… Expand

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#### References

SHOWING 1-10 OF 67 REFERENCES

Finding the ground state of the Hubbard model by variational methods on a quantum computer with gate errors

- Physics, Mathematics
- Quantum Science and Technology
- 2019

A key goal of digital quantum computing is the simulation of fermionic systems such as molecules or the Hubbard model. Unfortunately, for present and near-future quantum computers the use of quantum… Expand

S=12
kagome Heisenberg antiferromagnet revisited

- Physics
- Physical Review B
- 2019

We examine the perennial quantum spin-liquid candidate $S=1/2$ Heisenberg antiferromagnet on the kagome lattice. Our study is based on achieving Lanczos diagonalization of the Hamiltonian on a $48$… Expand

Ground state of the spin-1/2 kagome-lattice Heisenberg antiferromagnet

- Physics
- 2007

Using series expansions around the dimer limit, we show that the ground state of the Heisenberg Antiferromagnet on the Kagome Lattice appears to be a Valence Bond Crystal (VBC) with a 36-site unit… Expand

Efficient variational simulation of non-trivial quantum states

- Physics
- SciPost Physics
- 2019

We provide an efficient and general route for preparing non-trivial
quantum states that are not adiabatically connected to unentangled
product states. Our approach is a hybrid quantum-classical… Expand

Physics of low-energy singlet states of the Kagome lattice quantum Heisenberg antiferromagnet

- Physics
- 2003

This paper is concerned with physics of the low-energy singlet excitations found to exist below the spin gap in numerical studies of the Kagome lattice quantum Heisenberg antiferromagnet. Insight… Expand

Frustrated antiferromagnets with entanglement renormalization: ground state of the spin-1/2 Heisenberg model on a kagome lattice.

- Physics, Medicine
- Physical review letters
- 2010

Entanglement renormalization techniques are applied to numerically investigate the ground state of the spin-1/2 Heisenberg model on a kagome lattice and the best approximation to the groundstate is found to be a valence bond crystal with a 36-site unit cell. Expand

The theory of variational hybrid quantum-classical algorithms

- 2016

Many quantumalgorithms have daunting resource requirements when compared towhat is available today. To address this discrepancy, a quantum-classical hybrid optimization scheme known as ‘the… Expand

Quantum simulation of antiferromagnetic Heisenberg chain with gate-defined quantum dots

- Physics
- 2021

Quantum-mechanical correlations of interacting fermions result in the emergence of exotic phases [1, 2]. Magnetic phases naturally arise in the Mott-insulator regime of the Fermi-Hubbard model, where… Expand

Low-energy excitations of the kagomé antiferromagnet and the spin-gap issue

- Physics
- 2009

In this paper we report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices) and revisit… Expand

Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets

- Physics, Medicine
- Nature
- 2017

The experimental optimization of Hamiltonian problems with up to six qubits and more than one hundred Pauli terms is demonstrated, determining the ground-state energy for molecules of increasing size, up to BeH2. Expand