Shared multipartite entanglement defines a ``whatever channel'', i.e., a latent communication substrate that does not determine a priori which end-to-end entangled links are activated, but can be configured to support different entanglement-connectivity graphs through Local Operations and Classical Communication (LOCC). Building on this, we propose a resource-driven framework in which multipartite entanglement is treated as a programmable resource that induces a space of admissible entanglement-graph configurations. Within this framework, connectivity provisioning emerges as a particular instance of a more general resource reconfiguration process. To support this paradigm, we introduce a set of structural design parameters that characterize the operational degrees of freedom of the resource and define the admissible transformations independently of the specific mechanism used to realize them. We then formalize Entanglement Rolling as a measurement-based protocol that operates over the induced configuration space, enabling the systematic reconfiguration of the shared resource across a family of multipartite states. Finally, we analyze the proposed framework under realistic noise conditions. Leveraging the Noisy Stabilizer Formalism (NSF), we derive closed-form noise maps that characterize the effect of noise on the resource transformations and show that the proposed approach maintains reliable performance under relevant noise processes.

翻译：共享的多体纠缠定义了一种“通用信道”，即一种潜在的通信基板，它并不事先确定哪些端到端纠缠链路被激活，而是可以通过局域操作与经典通信（LOCC）配置成支持不同的纠缠连接图。基于此，我们提出了一种资源驱动型框架，其中多体纠缠被视为一种可编程资源，该资源引出了一个可容许的纠缠图配置空间。在此框架内，连接能力供应作为更一般的资源重配置过程的一种特例出现。为支持这一范式，我们引入了一组结构设计参数，这些参数刻画了资源的操作自由度，并独立于实现这些转换的具体机制来定义可容许的转换。然后，我们将纠缠滚动（Entanglement Rolling）形式化为一种基于测量的协议，该协议在诱导出的配置空间上运行，能够实现共享资源的系统性重配置，使其遍历一族多体纠缠态。最后，我们在实际噪声条件下分析了所提出的框架。利用噪声稳定子形式体系（Noisy Stabilizer Formalism, NSF），我们推导出闭式噪声图，这些噪声图刻画了噪声对资源转换的影响，并表明所提出的方法在相关噪声过程中能保持可靠的性能。