Semi-device-independent characterisation of multipartite entangled states and measurements

Abstract

The semi-device-independent framework allows one to draw conclusions about properties of an unknown quantum system under weak assumptions. Here we present a semi-device-independent scheme for the characterisation of multipartite entanglement based around a game played by several isolated parties whose devices are uncharacterised beyond an assumption about the dimension of their Hilbert spaces. Our scheme can certify that an $n$-partite high-dimensional quantum state features genuine multipartite entanglement. Moreover, the scheme can certify that a joint measurement on $n$ subsystems is entangled, and provides a lower bound on the number of entangled measurement operators. These tests are strongly robust to noise, and even optimal for certain classes of states and measurements, as we demonstrate with illustrative examples. Notably, our scheme allows for the certification of many entangled states admitting a local model, which therefore cannot violate any Bell inequality.

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• Demonstrating the power of quantum computers, certification of highly entangled measurements and scalable quantum nonlocality
• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
• Entanglement in prepare-and-measure scenarios: many questions, a few answers
• Operational nonclassicality in minimal autonomous thermal machines
• Semi-device-independent certification of entanglement in superdense coding
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• Does violation of a Bell inequality always imply quantum advantage in a communication complexity problem?
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• Quantifying Multipartite Quantum Entanglement in a Semi-Device-Independent Manner
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• Bound entanglement-assisted prepare-and-measure scenarios based on four-dimensional quantum messages
• Semi-device-independent self-testing of unitary operations