标题： 图态裂变 显示英文标题

标题： Graph State Fission

摘要： 图态是多体量子应用的基本纠缠资源，通常难以高效地进行转换。 虽然用于合并纠缠态的融合操作已经很成熟，但尚不存在直接的反向过程协议，我们将其称为裂变。 我们引入了一个简单而强大的协议，实现了这一过程，使得一个量子比特能够分裂，同时保留与特定连接的最小纠缠开销。 此工具提供了灵活的纠缠管理，具有在安全通信、纠错和自适应纠缠分发中的潜在应用。 显示英文摘要

摘要： 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.