Variational Quantum Eigensolver for Frustrated Quantum Systems
- URL: http://arxiv.org/abs/2005.00544v2
- Date: Tue, 4 Aug 2020 14:52:52 GMT
- Title: Variational Quantum Eigensolver for Frustrated Quantum Systems
- Authors: Alexey Uvarov, Jacob Biamonte, Dmitry Yudin
- Abstract summary: A variational quantum eigensolver, or VQE, is designed to determine a global minimum in an energy landscape specified by a quantum Hamiltonian.
Here we consider the performance of the VQE technique for a Hubbard-like model describing a one-dimensional chain of fermions.
We also study the barren plateau phenomenon for the Hamiltonian in question and find that the severity of this effect depends on the encoding of fermions to qubits.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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 the performance of the VQE
technique for a Hubbard-like model describing a one-dimensional chain of
fermions with competing nearest- and next-nearest-neighbor interactions. We
find that recovering the VQE solution allows one to obtain the correlation
function of the ground state consistent with the exact result. We also study
the barren plateau phenomenon for the Hamiltonian in question and find that the
severity of this effect depends on the encoding of fermions to qubits. Our
results are consistent with the current knowledge about the barren plateaus in
quantum optimization.
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