Abstract
We propose a quantum computational way of obtaining a ground-state energy and expectation values of observables of interacting Hamiltonians. It is based on the combination of the adiabatic quantum evolution to project a ground state of a noninteracting Hamiltonian onto a ground state of an interacting Hamiltonian and the phase estimation algorithm to retrieve the ground-state energy. The expectation value of an observable for the ground state is obtained with the help of the Hellmann-Feynman theorem. As an illustration of our method, we consider a displaced harmonic oscillator, a quartic anharmonic oscillator, and a potential scattering model. The results obtained by this method are in good agreement with the known results.
| Original language | English |
|---|---|
| Article number | 012326 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 77 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 22 Jan 2008 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)
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Quantum computational method of finding the ground-state energy and expectation values. / Oh, Sangchul.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 77, No. 1, 012326, 22.01.2008.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Quantum computational method of finding the ground-state energy and expectation values
AU - Oh, Sangchul
PY - 2008/1/22
Y1 - 2008/1/22
N2 - We propose a quantum computational way of obtaining a ground-state energy and expectation values of observables of interacting Hamiltonians. It is based on the combination of the adiabatic quantum evolution to project a ground state of a noninteracting Hamiltonian onto a ground state of an interacting Hamiltonian and the phase estimation algorithm to retrieve the ground-state energy. The expectation value of an observable for the ground state is obtained with the help of the Hellmann-Feynman theorem. As an illustration of our method, we consider a displaced harmonic oscillator, a quartic anharmonic oscillator, and a potential scattering model. The results obtained by this method are in good agreement with the known results.
AB - We propose a quantum computational way of obtaining a ground-state energy and expectation values of observables of interacting Hamiltonians. It is based on the combination of the adiabatic quantum evolution to project a ground state of a noninteracting Hamiltonian onto a ground state of an interacting Hamiltonian and the phase estimation algorithm to retrieve the ground-state energy. The expectation value of an observable for the ground state is obtained with the help of the Hellmann-Feynman theorem. As an illustration of our method, we consider a displaced harmonic oscillator, a quartic anharmonic oscillator, and a potential scattering model. The results obtained by this method are in good agreement with the known results.
UR - http://www.scopus.com/inward/record.url?scp=38549181286&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=38549181286&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.77.012326
DO - 10.1103/PhysRevA.77.012326
M3 - Article
VL - 77
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 1
M1 - 012326
ER -