Sharing quantum nonlocality and genuine nonlocality with independent observables
Abstract
Recently the authors of Phys. Rev. Lett. 125, 090401 (2020), 10.1103/PhysRevLett.125.090401 considered the following scenario: Alice and Bob each have half of a pair of entangled qubit states. Bob measures his half and then passes his part to a second Bob who measures again, and so on. The goal is to maximize the number of Bobs that can have an expected violation of the ClauserHorneShimonyHolt (CHSH) inequality with the single Alice. By taking the maximally entangled pure twoqubit state ϕ » =1/√{2 }(00 » +11 ») as an example, it has been constructively proved that arbitrarily many independent Bobs can share the nonlocality with the single Alice. Here we demonstrate that arbitrarily many independent observers can share the nonlocality of a single arbitrary dimensional bipartite entangled but not necessary twoqubit entangled state. Furthermore, taking the generalized GreenbergerHorneZeilinger (GHZ) states as an example, we show that at most two Charlies can share the genuine nonlocality of a single generalized GHZ state with an Alice and a Bob.
 Publication:

Physical Review A
 Pub Date:
 March 2021
 DOI:
 10.1103/PhysRevA.103.032216
 arXiv:
 arXiv:2103.14836
 Bibcode:
 2021PhRvA.103c2216Z
 Keywords:

 Quantum Physics
 EPrint:
 7 pages, 2 figures