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arXiv · 2301.11409

Self-testing composite measurements and bound entangled state in a single quantum network

Shubhayan Sarkar·Chandan Datta·Saronath Halder·Remigiusz Augusiak
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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. Furthermore, we also analyse the robustness of our scheme towards experimental errors.

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Shubhayan Sarkar, Chandan Datta, Saronath Halder, Remigiusz Augusiak. 2023-01-26. Self-testing composite measurements and bound entangled state in a single quantum network. https://doi.org/10.1103/physrevlett.134.190203

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