研究目的
To present a semi-device-independent scheme for the characterization of multipartite entanglement in both states and measurements simultaneously, under weak assumptions about the devices.
研究成果
The presented semi-device-independent scheme allows for the robust certification of multipartite entanglement in both states and measurements, even for states that admit a local model and thus cannot violate any Bell inequality. It provides a versatile tool for entanglement characterization with minimal assumptions about the measurement devices.
研究不足
The scheme assumes an upper bound on the Hilbert space dimension of the subsystems, which may not always be verifiable. Additionally, it may not certify all GME states optimally, especially for many high-dimensional systems.
1：Experimental Design and Method Selection:
The scheme is based around a game played by several isolated parties whose devices are uncharacterized beyond an assumption about the dimension of their Hilbert spaces.
2：Sample Selection and Data Sources:
The parties share an n-partite high-dimensional quantum state and perform local transformations based on random inputs.
3：List of Experimental Equipment and Materials:
The setup involves quantum systems of arbitrary dimension, with the only assumption being an upper bound on the Hilbert space dimension of the subsystems.
4：Experimental Procedures and Operational Workflow:
Each party performs local transformations on their subsystem based on random inputs, and the transformed state is sent to a final party who performs a joint measurement.
5：Data Analysis Methods:
The probability distribution of the measurement outcomes is analyzed to certify entanglement and provide a lower bound on the number of entangled measurement operators.
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