Certifying entangled measurements in known Hilbert spaces

Abstract

We study under which conditions it is possible to assert that a joint demolition measurement cannot be simulated by Local Operations and Classical Communication. More concretely, we consider a scenario where two parties, Alice and Bob, send each an unknown state to a third party, Charlie, who in turn interacts with the states in some undisclosed way and then announces an outcome. We show that, under the assumption that Alice and Bob know the dimensionality of their systems, there exist situations where the statistics of the outcomes reveals the nature of Charlie's measurement.

8 pages, 1 figure, 2 tables; modified title

References in corpus (8)

• Entanglement detection
• Device-independent security of quantum cryptography against collective attacks
• Measuring measurement
• Private Randomness Expansion With Untrusted Devices
• Semi-device-independent bounds on entanglement
• Partial list of bipartite Bell inequalities with four binary settings
• Activation of Non-Local Quantum Resources
• Fully Distrustful Quantum Cryptography

Cited by in corpus (21)

• Bell nonlocality
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Device-independent certification of entangled measurements
• Self-testing entangled measurements in quantum networks
• Quantum cryptography: key distribution and beyond
• Witnessing irreducible dimension
• Characterization of quantum correlations with local dimension constraints and its device-independent applications
• Testing dimension and non-classicality in communication networks
• Semi-device-independent characterisation of multipartite entangled states and measurements
• Bell inequalities for three systems and arbitrarily many measurement outcomes
• Experimental semi-device-independent certification of entangled measurements
• Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
• Self-testing nonlocality without entanglement
• Spectrally-resolved four-photon interference of time-frequency entangled photons
• Device-independent certification of non-classical joint measurements via causal models
• A positive operator-valued measure for two-photon detection via sum-frequency generation
• Separability Criterion for Quantum Effects
• Activation of entanglement in generalized entanglement swapping
• Limits of Classical correlations and Quantum advantages under (Anti-)Distinguishability constraints in Multipartite Communication
• Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements
• Genuine network quantum nonlocality and self-testing