# Stabilizer Approximation II: From H$_2$O To C$_6$H$_6$

## TL;DR

This paper demonstrates that stabilizer states can effectively approximate the ground states of complex molecules like water and benzene, even under strong distortions, suggesting their usefulness in quantum chemical simulations.

## Contribution

The study extends the stabilizer method to larger, more complex molecules, showing their effectiveness as reference states in strongly correlated systems.

## Key findings

- Stabilizer states approximate ground states well at various bond lengths.
- Effective for molecules with strong static correlation.
- Potential as initial states in quantum chemical simulations.

## Abstract

We apply the stabilizer method to the study of some complicated molecules, such as water and benzene. In the minimal STO-3G basis, the former requires 14 qubits, and the latter 72 qubits, which is very challenging. Quite remarkably, We are still able to find the best stabilizer states at all the bond lengths. Just as the previously studied H$_2$, LiH and BeH$_2$ molecules, here the stabilizer states also approximate the true ground states very well, especially when the molecules are strongly distorted. These results suggest stabilizer states could serve as natural reference states when the system involves strong static correlation. And in the language of quantum computing, one would expect stabilizer states to be natural initial states for chemical simulation.