A hybrid variational quantum circuit approach for stabilizer states classifiers

TL;DR

This paper introduces a hybrid variational quantum circuit method to classify entanglement types of four-qubit states, addressing a complex problem in quantum information theory.

Contribution

It demonstrates how variational quantum circuits can learn entanglement orbits and applies this to develop a classifier for four-qubit states.

Findings

Successfully learned entanglement orbits using variational circuits

Built a classifier for four-qubit entanglement states

Showed the approach's potential for quantum state classification

Abstract

Entanglement classification of pure multipartite quantum states is a challenging problem in quantum information theory that can be mathematically stated as orbit classification for some given group action on the ambient Hilbert space. The group action depends on the grained classification one expects, the finer-grained one being the classification up to local unitary transformation (LU). In this article, we show how a variational quantum circuit approach can be used to learn entanglement orbits, and we apply our findings to build a classifier for four-qubit states.