Hubbard operators in multiqubit systems

International Conference on 'Quantum Control, Exact or Perturbative, Linear or Nonlinear' to celebrate 50 years of the scientific career of Professor Bogdan Mielnik

Enríquez, Marco^1,2

Departamento de Física, Cinvestav, AP 14-740, México DF

07000, Mexico^1

SEPI-UPIITA, Instituto Politécnico Nacional, Av. IPN No. 2580, Col. La Laguna Ticomán, México DF

C.P. 07340, Mexico^2

关键词: Analytical expressions;    Geometric measures;    Hubbard operators;    Kronecker product;    Multiqubit state;    Multiqubit system;    Tensor algebra;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/624/1/012019/pdf
DOI  :  10.1088/1742-6596/624/1/012019

来源: IOP

【 摘 要 】

The properties of the Kronecker product of 2 x 2 matrices are reviewed in terms of Hubbard operators. This framework constitutes a shorthand notation to deal with the tensor algebra of operators acting on multiqubit states. As an application we derive some analytical expressions related to the geometric measure of entanglement of a certain class of multiqubit invariant permutation states. Our results can be straightaway extended for systems of larger dimensions.