The one-dimensional quantum Ising model is used to describe many physical systems, therefore the calculation of ground and excited state energies of Ising model that has many applications in statistical mechanics, has been paid attention. We obtain the ground and excited states of this model by using the Quantum Approximate Optimization Algorithm(QAOA), which is a kind of hybrid quantum-classical algorithms. For this purpose, first, we find the ground state with quantum approximate optimization algorithm, then we generalize this algorithm by adding an overlap term to obtain excited states. We calculated ground state energy and excited states energies for different coupling coefficients which is compatible with exact calculation.
M L Frazier, et al., Biophysical journal92, 7 (2007) 2422.
A R Honerkamp-Smith et al., Biophysical journal95, 1 (2008) 236.
Y Liu and J P Dilger, Biophysical journal64, 1 (1993) 26.
S Miyazima, Progress of Theoretical Physics40, 3 (1968)
J Strecka and M Jascur, A brief account of the Ising and Ising-like models: Mean-field, effective-field and exact results. arXiv preprint arXiv:1511.03031, 2015.
R P Feynman, J. Theor. Phy21 (1982) 467.
A Peruzzo, et al., Nature communications5 (2014) 4213.
P J O’Malley, et al., Physical Review X 6, 3 (2016)
Y Li and S C Benjamin, Physical Review X 7, 2 (2017) 021050.
O Higgott, D Wang, and S Brierley, Quantum 3 (2019) 156.
E Farhi, J Goldstone, and S Gutmann, A quantum approximate optimization algorithm. arXiv preprint arXiv:1411.4028, 2014.
R Somma, et al., International Journal of Quantum Information 1, 2 (2003)189.
J R Johansson, P D Nation and, F Nori, Computer Physics Communications, 184, 4 (2013) 1234.
R S Smith, M J Curtis and W J Zeng, A practical quantum instruction set architecture. arXiv preprint arXiv:1608.03355, 2016.
Davoodi Yeganeh,H. , Mahdian,M. and Mohammadi Aghdaragh,R. (2022). Calculation of the ground and exited states of the Ising model using Quantum Approximate Optimization Algorithm(QAOA). Iranian Journal of Physics Research, 22(1), 121-128. doi: 10.47176/ijpr.22.1.81301
MLA
Davoodi Yeganeh,H. , , Mahdian,M. , and Mohammadi Aghdaragh,R. . "Calculation of the ground and exited states of the Ising model using Quantum Approximate Optimization Algorithm(QAOA)", Iranian Journal of Physics Research, 22, 1, 2022, 121-128. doi: 10.47176/ijpr.22.1.81301
HARVARD
Davoodi Yeganeh H., Mahdian M., Mohammadi Aghdaragh R. (2022). 'Calculation of the ground and exited states of the Ising model using Quantum Approximate Optimization Algorithm(QAOA)', Iranian Journal of Physics Research, 22(1), pp. 121-128. doi: 10.47176/ijpr.22.1.81301
CHICAGO
H. Davoodi Yeganeh, M. Mahdian and R. Mohammadi Aghdaragh, "Calculation of the ground and exited states of the Ising model using Quantum Approximate Optimization Algorithm(QAOA)," Iranian Journal of Physics Research, 22 1 (2022): 121-128, doi: 10.47176/ijpr.22.1.81301
VANCOUVER
Davoodi Yeganeh H., Mahdian M., Mohammadi Aghdaragh R. Calculation of the ground and exited states of the Ising model using Quantum Approximate Optimization Algorithm(QAOA). Dear user; Recently we have changed our software to Sinaweb. If you had already registered with the old site, you may use the same USERNAME but you need to change your password. To do so at the first use, please choose, 2022; 22(1): 121-128. doi: 10.47176/ijpr.22.1.81301
