Comparative study of adaptive variational quantum eigensolvers for multi-orbital impurity models - Communications Physics

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Comparative study of adaptive variational quantum eigensolvers for multi-orbital impurity models - Communications Physics
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Scientists take an important step toward using quantum computers to advance materials science Ames_Laboratory CommsPhys

The hybridization term can be written in a diagonal form through single-particle rotations on the physical and bath orbitals as follows:

$$\mathop{\sum }\limits_{i=1}^{2}\left=-{\hat{n}}_{1\sigma }^{}-{\hat{n}}_{2\sigma }^{}+{\hat{n}}_{3\sigma }^{}+{\hat{n}}_{4\sigma }^{},$$and the rotated fermionic operators$$\begin{array}{rcl}{\hat{c}}_{1\sigma }^{}&=&\frac{1}{\sqrt{2}},{\hat{c}}_{2\sigma }^{}=\frac{1}{\sqrt{2}},\\ {\hat{c}}_{3\sigma }^{}&=&\frac{1}{\sqrt{2}},{\hat{c}}_{4\sigma }^{}=\frac{1}{\sqrt{2}}.

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