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Trapped Ion Quantum Computing
Application of matrix product states to the Hubbard model in one spatial dimension
arXiv
Authors: Yukihiro Shimizu, Koji Matsuura, Hikaru Yahagi
Year
2013
Paper ID
32272
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We investigate the application of matrix product states to the Hubbard model in one spatial dimension with both of open and periodic boundary conditions. We develop the variatinal method that the optimization of the variational parameters is carried out locally and sequentially in the framework of matrix product operators (MPO) by including the sign, due to the anti-commutation relation of fermion operators, in the matrix element of MPO. The numerical accuracy of the ground state energy is examined.
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- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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- We investigate the application of matrix product states to the Hubbard model in one spatial dimension with both of open and periodic boundary conditions.
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