Quantum Simulation of Resonant Transitions for Solving the Eigenproblem of an Effective Water Hamiltonian

Zhaokai Li, Xiaomei Liu, Hefeng Wang, Sahel Ashhab, Jiangyu Cui, Hongwei Chen, Xinhua Peng, Jiangfeng Du

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1 Citation (Scopus)

Abstract

It is difficult to calculate the energy levels and eigenstates of a large physical system on a classical computer because of the exponentially growing size of the Hilbert space. In this work, we experimentally demonstrate a quantum algorithm which could solve this problem via simulated resonant transitions. Using a four-qubit quantum simulator in which two qubits are used as ancillas for control and measurement, we obtain the energy spectrum of a 2-qubit low-energy effective Hamiltonian of the water molecule. The simulated transitions allow the state of the quantum simulator to transform and access large regions of the Hilbert space, including states that have no overlap with the initial state. Furthermore, we make use of this algorithm to efficiently prepare specific eigenstates on the simulator according to the measured eigenenergies.

Original languageEnglish
Article number090504
JournalPhysical Review Letters
Volume122
Issue number9
DOIs
Publication statusPublished - 8 Mar 2019

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simulators
Hilbert space
Water
eigenvectors
water
simulation
energy spectra
energy levels
molecules
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Quantum Simulation of Resonant Transitions for Solving the Eigenproblem of an Effective Water Hamiltonian. / Li, Zhaokai; Liu, Xiaomei; Wang, Hefeng; Ashhab, Sahel; Cui, Jiangyu; Chen, Hongwei; Peng, Xinhua; Du, Jiangfeng.

In: Physical Review Letters, Vol. 122, No. 9, 090504, 08.03.2019.

Research output: Contribution to journalArticle

Li, Zhaokai ; Liu, Xiaomei ; Wang, Hefeng ; Ashhab, Sahel ; Cui, Jiangyu ; Chen, Hongwei ; Peng, Xinhua ; Du, Jiangfeng. / Quantum Simulation of Resonant Transitions for Solving the Eigenproblem of an Effective Water Hamiltonian. In: Physical Review Letters. 2019 ; Vol. 122, No. 9.
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