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Autores principales: Malpathak, Shreyas, Kallullathil, Sangeeth Das, Izmaylov, Artur F.
Formato: Preprint
Publicado: 2024
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Acceso en línea:https://arxiv.org/abs/2411.17950
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author Malpathak, Shreyas
Kallullathil, Sangeeth Das
Izmaylov, Artur F.
author_facet Malpathak, Shreyas
Kallullathil, Sangeeth Das
Izmaylov, Artur F.
contents Bosonic quantum devices, which utilize harmonic oscillator modes to encode information, are emerging as a promising alternative to conventional qubit-based quantum devices, especially for the simulation of vibrational dynamics and spectroscopy. We present a framework for digital quantum simulation of vibrational dynamics under anharmonic potentials on these bosonic devices. In our approach the vibrational Hamiltonian is decomposed into solvable fragments that can be used for Hamiltonian simulation on currently available bosonic hardware. Specifically, we extended the Cartan subalgebra approach [T.C. Yen, A.F. Izmaylov, PRX Quantum 2, 040320 (2021)] -- a method for decomposing quantum Hamiltonians into solvable parts -- to bosonic operators, enabling us to construct anharmonic Hamiltonian fragments that can be efficiently diagonalized using Bogoliubov transforms. The approach is tested using a simulation of tunneling dynamics in a model two-dimensional double-well potential and calculations of vibrational eigenenergies for small molecules. Our fragmentation scheme provides a new approach for digital quantum simulations on bosonic quantum hardware for multi-mode anharmonic vibrational dynamics.
format Preprint
id arxiv_https___arxiv_org_abs_2411_17950
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Simulating Vibrational Dynamics on Bosonic Quantum Devices
Malpathak, Shreyas
Kallullathil, Sangeeth Das
Izmaylov, Artur F.
Quantum Physics
Chemical Physics
Bosonic quantum devices, which utilize harmonic oscillator modes to encode information, are emerging as a promising alternative to conventional qubit-based quantum devices, especially for the simulation of vibrational dynamics and spectroscopy. We present a framework for digital quantum simulation of vibrational dynamics under anharmonic potentials on these bosonic devices. In our approach the vibrational Hamiltonian is decomposed into solvable fragments that can be used for Hamiltonian simulation on currently available bosonic hardware. Specifically, we extended the Cartan subalgebra approach [T.C. Yen, A.F. Izmaylov, PRX Quantum 2, 040320 (2021)] -- a method for decomposing quantum Hamiltonians into solvable parts -- to bosonic operators, enabling us to construct anharmonic Hamiltonian fragments that can be efficiently diagonalized using Bogoliubov transforms. The approach is tested using a simulation of tunneling dynamics in a model two-dimensional double-well potential and calculations of vibrational eigenenergies for small molecules. Our fragmentation scheme provides a new approach for digital quantum simulations on bosonic quantum hardware for multi-mode anharmonic vibrational dynamics.
title Simulating Vibrational Dynamics on Bosonic Quantum Devices
topic Quantum Physics
Chemical Physics
url https://arxiv.org/abs/2411.17950