All pure multipartite entangled states of qubits can be self-tested up to complex conjugation

• URL: http://arxiv.org/abs/2412.13266v1
• Date: Tue, 17 Dec 2024 19:01:01 GMT
• Title: All pure multipartite entangled states of qubits can be self-tested up to complex conjugation
• Authors: Maria Balanzó-Juandó, Andrea Coladangelo, Remigiusz Augusiak, Antonio Acín, Ivan Šupić,
• Abstract summary: Self-testing refers to the certification of quantum states and measurements based entirely on the correlations exhibited by measurements on separate subsystems. We give a complete characterization of self-testing in the multipartite qubit case.
• Score: 1.1677036706091175
• License:
• Abstract: Self-testing refers to the certification of quantum states and measurements based entirely on the correlations exhibited by measurements on separate subsystems. In the bipartite case, self-testing of states has been completely characterized, up to local isometries, as there exist protocols that self-test arbitrary pure states of any local dimension. Much less is known in the multipartite case, where an important difference with respect to the bipartite case appears: there exist multipartite states that are not equivalent, up to local isometries, to their complex conjugate. Thus, any self-testing characterization must in general be complete up to not only local unitaries, but also complex conjugation. Under these premises, in this work, we give a complete characterization of self-testing in the multipartite qubit case.

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