Self-testing nonlocality without entanglement

Abstract

Quantum theory allows for nonlocality without entanglement. Notably, there exist bipartite quantum measurements consisting of only product eigenstates, yet they cannot be implemented via local quantum operations and classical communication. In the present work, we show that a measurement exhibiting nonlocality without entanglement can be certified in a device-independent manner. Specifically, we consider a simple quantum network and construct a self-testing procedure. This result also demonstrates that genuine network quantum nonlocality can be obtained using only non-entangled measurements. From a more general perspective, our work establishes a connection between the effect of nonlocality without entanglement and the area of Bell nonlocality.

4+9 pages, comments welcome!

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Cited by in corpus (6)

• Network quantum steering enables randomness certification without seed randomness
• A universal scheme to self-test any quantum state or measurement
• Operationally independent events can influence each other in quantum theory
• Topologically noise robust network steering without inputs
• Global versus Local Discrimination of Locally Implementable Multipartite Unitaries
• Any gate of a quantum computer can be certified device-independently