Self-testing composite measurements and bound entangled state in a unified framework

• URL: http://arxiv.org/abs/2301.11409v1
• Date: Thu, 26 Jan 2023 20:50:20 GMT
• Title: Self-testing composite measurements and bound entangled state in a unified framework
• Authors: Shubhayan Sarkar, Chandan Datta, Saronath Halder, Remigiusz Augusiak
• Abstract summary: We introduce a single scheme allowing to certify three different types of composite projective measurements acting on a three-qubit Hilbert space. We certify a basis exhibiting NLWE in the smallest dimension capable of supporting this phenomenon. On the other hand, the possibility of certification of a measurement obtained from a UPB has an interesting implication.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Within the quantum networks scenario, we introduce a single scheme allowing to certify three different types of composite projective measurements acting on a three-qubit Hilbert space: one constructed from genuinely entangled GHZ-like states, one constructed from fully product vectors that exhibit the phenomenon of nonlocality without entanglement (NLWE), and a hybrid measurement obtained from an unextendible product basis (UPB). Noticeably, we certify a basis exhibiting NLWE in the smallest dimension capable of supporting this phenomenon. On the other hand, the possibility of certification of a measurement obtained from a UPB has an interesting implication that one can also self-test a bound entangled state in the considered quantum network. Such a possibility does not seem to exist in the standard Bell scenario.

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