Entanglement in highly symmetric multipartite quantum states

TL;DR

This paper introduces a group-theoretic method to construct highly symmetric, genuinely entangled multipartite quantum states with potential advantages in quantum information processing.

Contribution

It presents a novel group-theoretic construction of entangled states with specific symmetry properties and efficient quantum circuits for their generation.

Findings

States resemble Dicke states with specific subsystem interactions

Constructed states have smaller circuit complexity than fully symmetric states

States serve as resources for less-symmetric quantum informational tasks

Abstract

We present a construction of genuinely entangled multipartite quantum states based on the group theory. Analyzed states resemble the Dicke states, whereas the interactions occur only between specific subsystems related by the action of the selected group. The states constructed by this technique exhibit desired symmetry properties and form a natural resource for less-symmetric quantum informational tasks. We propose quantum circuits efficiently generating such states, which in general have smaller complexity than the circuits necessary to create fully symmetric entangled states.