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Improved Variational Quantum Eigensolver Via Quasidynamical Evolution

delete2023-02-16
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OA
AI
M
Manpreet Singh Jattana
F
Fengping Jin
H
Hans De Raedt
K
Kristel Michielsen *
DOI:10.1103/PhysRevApplied.19.024047delete
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Abstract

Abstract

En 中文
The variational quantum eigensolver (VQE) is a hybrid quantum classical algorithm designed for cur-rent and near-term quantum devices. Despite its initial success, there is a lack of understanding involving several of its key aspects. There are problems with VQE that forbid a favorable scaling towards quan-tum advantage. In order to alleviate the problems, we propose and extensively test a quantum annealing inspired heuristic that supplements VQE. The improved VQE enables an efficient initial state-preparation mechanism, in a recursive manner, for a quasidynamical unitary evolution. We conduct an in-depth scal-ing analysis of finding the ground-state energies with increasing lattice sizes of the Heisenberg model, employing simulations of up to 40 qubits that manipulate the complete state vector. In addition to system-atically finding the ground-state energy, we observe that it avoids barren plateaus, escapes local minima, and works with low-depth circuits. For the current devices, we further propose a benchmarking toolkit using a mean-field model and test it on IBM Q devices. Realistic gate execution times estimate a longer computational time to complete the same computation on a fully functional error-free quantum computer than on a quantum computer emulator implemented on a classical computer. However, our proposal can be expected to help accurate estimations of the ground-state energies beyond 50 qubits when the complete state vector can no longer be stored on a classical computer, thus enabling quantum advantage.
Keywords:
OPTIMIZATION

Journal

Physical Review Applied cover
Physical Review Applied
IF:
4.4
Papers:
7.1K
Citations:
2.8W

Organization

H
Helmholtz Association
Scholars:
13.2W
Papers: 10.7W
Citations: 145