Multipartite Entanglement Structure Resolution Analyzer Based on Quantum-Control-Assisted Multipartite Uncertainty Relation

By constructing a quantum-control-assisted multipartite uncertainty relation, a general and efficient multipartite entanglement structure resolution analyzer is provided for all pure states with arbitrary number of parties in arbitrary finite dimension. The lower bounds of this multipartite uncertainty relation present different spectra for different multipartite entanglement structures, and they thus can be considered as a form of resolution analyzer for the multipartite entanglement structure. The resolution analyzer obtained delineates the detailed structure of multipartite entanglement with a suitable number of incompatible measurements, without a complete prior knowledge of the quantum state.