Genuinely Multipartite Entanglement vias Quantum Communication

Abstract

Multipartite entanglement is of important resources for quantum communication and quantum computation. Our goal in this paper is to characterize general multipartite entanglement according to quantum biseparable channels. We firstly prove a no-go result for fully genuinely multipartite entanglement on finite-dimensional spaces with the biseparable channel model. We further propose a semi-device-independent entanglement model depending on the connection ability in quantum circuit. This implies a complete hierarchy of genuinely multipartite entanglements. It also provides a completely different multipartite nonlocality from quantum network entanglements. These results show new insights for multipartite entanglement, quantum network, and measurement-based quantum computation.Comment: 4+5 pages, 7 figures. Comments welecome

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