title: Entropic Tests of Multipartite Nonlocality and State-Independent Contextuality.
abstract: We introduce a multipartite extension of an information-theoretic distance introduced by Zurek [Nature (London) 341, 119 (1989)]. We use it to develop a new tool for studying quantum correlations from an information-theoretic perspective. In particular, we derive entropic tests of multipartite nonlocality for three qubits and for an arbitrary even number of qubits as well as a test of state-independent contextuality. In addition, we rederive the tripartite Mermin inequality and a state-independent noncontextuality inequality by Cabello [Phys. Rev. Lett. 101, 210401 (2008)]. This suggests that the information-theoretic distance approach to multipartite nonlocality and state-independent contextuality can provide a more general treatment of nonclassical correlations than the orthodox approach based on correlation functions.
authors.affiliation: Institute for Quantum Computing, University of Waterloo, Ontario N2L 3G1, Canada.|Department of Physics and Astronomy, University of Waterloo, Ontario N2L 3G1, Canada.|Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore.
authors.forename: Sadegh
authors.initials: S
authors.lastname: Raeisi
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore.|Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland.
authors.forename: Paweł
authors.initials: P
authors.lastname: Kurzyński
authors.affiliation: Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore, Singapore.|Department of Physics, National University of Singapore, 2 Science Drive 3, 117542 Singapore, Singapore.
authors.forename: Dagomir
authors.initials: D
authors.lastname: Kaszlikowski