Graph State Fission

TL;DR

This paper introduces a novel protocol called graph state fission that enables splitting a qubit in a graph state while maintaining selective entanglement, enhancing entanglement management in quantum applications.

Contribution

The paper presents the first direct protocol for graph state fission, expanding the toolkit for entanglement manipulation in quantum information processing.

Findings

Enables splitting a qubit in a graph state with minimal entanglement overhead

Preserves selective connections during the fission process

Potential applications in secure communication, error correction, and adaptive entanglement distribution

Abstract

Graph states are a fundamental entanglement resource for multipartite quantum applications which are in general challenging to transform efficiently. While fusion operations for merging entangled states are well-developed, no direct protocol exists for the reverse process, which we term fission. We introduce a simple, yet powerful, protocol that achieves this, allowing a qubit to split while preserving selective connections with minimum entanglement overhead. This tool offers flexible entanglement management with potential applications in secure communication, error correction and adaptive entanglement distribution.