Scalable Quantum Ground State Preparation of the Heisenberg Model: A
Variational Quantum Eigensolver Approach
- URL: http://arxiv.org/abs/2308.12020v2
- Date: Tue, 5 Sep 2023 06:13:24 GMT
- Title: Scalable Quantum Ground State Preparation of the Heisenberg Model: A
Variational Quantum Eigensolver Approach
- Authors: Jinao Wang, Rimika Jaiswal
- Abstract summary: Variational Quantumsolver (VQE) algorithm is a system composed of a quantum circuit and a classical Eigenational Quantumsolver.
We present an ansatz capable of preparing the ground states for all possible values of the coupling, including the critical states for the anisotropic XXZ model.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum systems have historically been formidable to simulate using classical
computational methods, particularly as the system size grows. In recent years,
advancements in quantum computing technology have offered new opportunities for
tackling complex quantum systems, potentially enabling the study and
preparation of quantum states directly on quantum processors themselves. The
Variational Quantum Eigensolver (VQE) algorithm is a system composed of a
quantum circuit as well as a classical optimizer that can be used to
efficiently prepare interesting many-body states on the current noisy
intermediate-scale quantum (NISQ) devices. We assess the efficacy and
scalability of VQE by preparing the ground states of the 1D generalized
Heisenberg model, a pivotal model in understanding magnetic materials. We
present an ansatz capable of preparing the ground states for all possible
values of the coupling, including the critical states for the anisotropic XXZ
model. This paper also aims to provide insights into the precision and time
consumption involved in classical and optimized sampling approaches in the
calculation of expectation values. In preparing the ground state for the
Heisenberg models, this paper paves the way for more efficient quantum
algorithms and contributes to the broader field of condensed matter physics.
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