Hamiltonian input model and spectroscopy on quantum computers
- URL: http://arxiv.org/abs/2402.08969v1
- Date: Wed, 14 Feb 2024 06:29:32 GMT
- Title: Hamiltonian input model and spectroscopy on quantum computers
- Authors: Weijie Du and James P. Vary
- Abstract summary: We present a novel input model for general second-quantized Hamiltonians of relativistic or non-relativistic many-fermion systems.
Based on our input model, we propose a hybrid framework for spectral calculations on future quantum hardwares.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We present a novel input model for general second-quantized Hamiltonians of
relativistic or non-relativistic many-fermion systems. This input model
incorporates the fermionic anticommutation relations, particle number
variations, and respects the symmetries of the Hamiltonian. Based on our input
model, we propose a hybrid framework for spectral calculations on future
quantum hardwares. We provide explicit circuit designs and the associated gate
cost and circuit depth. We demonstrate our framework by solving the low-lying
spectra of ${^{42}}Ca$ and ${^{46}}Ca$. Our input model provides new pathways
to solving the spectra and time evolutions of the relativistic and
nonrelativistic many-fermion systems.
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