The Elegant Joint Quantum Measurement and some conjectures about N-locality in the Triangle and other Configurations

Abstract

In order to study N-locality without inputs in long lines and in configurations with loops, e.g. the triangle, we introduce a natural joint measurement on two qubits different from the usual Bell state measurement. The resulting quantum probability $p(a_1,a_2,...,a_N)$ has interesting features. In particular the probability that all results are equal is that large, while respecting full symmetry, that it seems highly implausible that one could reproduce it with any N-local model, though - unfortunately - I have not been unable to prove it.

arXiv commentIdeas needed !

Cited by in corpus (9)

• Entanglement 25 years after Quantum Teleportation: testing joint measurements in quantum networks
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Causal Compatibility Inequalities Admitting Quantum Violations in the Triangle Structure
• Limits on correlations in networks for quantum and no-signaling resources
• Experimental demonstration of nonbilocality with truly independent sources and strict locality constraints
• Experimental optimal orienteering via parallel and antiparallel spins
• Characterizing Quantum Correlations In Fixed Input $n$-Local Network Scenario
• Complete list of Bell inequalities with four binary settings
• Bipartite quantum measurements with optimal single-sided distinguishability