Systematic input scheme for many-boson Hamiltonians via quantum walk
- URL: http://arxiv.org/abs/2407.13672v1
- Date: Thu, 18 Jul 2024 16:47:53 GMT
- Title: Systematic input scheme for many-boson Hamiltonians via quantum walk
- Authors: Weijie Du, James P. Vary,
- Abstract summary: We develop a novel, systematic input scheme for many-boson Hamiltonians.
We present our discussion of this input scheme based on the light-front Hamiltonian of the two-dimensional $phi 4$ theory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We develop a novel, systematic input scheme for many-boson Hamiltonians in order to solve field theory problems within the light-front Hamiltonian formalism via quantum computing. We present our discussion of this input scheme based on the light-front Hamiltonian of the two-dimensional $\phi ^4$ theory. In our input scheme, we employ a set of quantum registers, where each register encodes the occupation of a distinct boson mode as binaries. We squeeze the boson operators of each mode and present the Hamiltonian in terms of unique combinations of the squeezed boson operators. We design the circuit modules for these unique combinations. Based on these circuit modules, we block encode the many-boson Hamiltonian utilizing the idea of quantum walk. We demonstrate our input scheme by solving the low-lying spectra of the Hamiltonian utilizing the IBM Qiskit quantum simulator. We can incorporate the input scheme in this work with the input scheme for many-fermion Hamiltonians; they jointly offer new pathways to solving the structure and dynamics of field theory problems on future fault-tolerant quantum computers.
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