Improved variational quantum eigensolver via quasi-dynamical evolution

• URL: http://arxiv.org/abs/2202.10130v3
• Date: Tue, 21 Mar 2023 13:37:03 GMT
• Title: Improved variational quantum eigensolver via quasi-dynamical evolution
• Authors: Manpreet Singh Jattana, Fengping Jin, Hans De Raedt, Kristel Michielsen
• Abstract summary: The variational quantum eigensolver (VQE) is a hybrid quantum-classical algorithm designed for current and near-term quantum devices. There are problems with VQE that forbid a favourable scaling towards quantum advantage. We propose and extensively test a quantum annealing inspired algorithm that supplements VQE. The improved VQE avoids barren plateaus, exits local minima, and works with low-depth circuits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The variational quantum eigensolver (VQE) is a hybrid quantum-classical algorithm designed for current 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 favourable scaling towards quantum 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 quasi-dynamical unitary evolution. We conduct an in-depth scaling 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. For the current devices, we further propose a benchmarking toolkit using a mean-field model and test it on IBM Q devices. The improved VQE avoids barren plateaus, exits local minima, and works with low-depth circuits. 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.

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