Bell Non-Locality and Entanglement of Bipartite Quantum Channels

TYPEQuantum Information Seminar
Speaker:Gilad Gour
Affiliation:University of Calgary
Organizer:Yosi Avron
Time:14:30 - 15:30
Location:Lidow Nathan Rosen (300)

The most general quantum object that can be shared between two distant parties is a bipartite channel. In general, bipartite channels can produce entangled states, and can be used to simulate quantum operations that are not local. When the input dimensions are trivial, a bipartite channel can be viewed as a bipartite state, and when the output systems are classical, the channel can be viewed as a bipartite quantum measurement. While much effort over the last two decades has been devoted to the study of entanglement of bipartite states, very little is known about the entanglement of bipartite channels. In this talk, I will introduce two new concepts characterizing the entanglement and Bell non-locality of a bipartite quantum channel, using the framework of resource theories of quantum processes. Particularly, as an application for the theory of Bell non-locality, I will show that ALL entangled states can produce non-local bipartite quantum measurements. This demonstrates that all entangled states possess a form of quantum non-locality even if they admit a local hidden variable model. Moreover, I will generalize the negativity measure of entanglement to bipartite channels, and show that a version of it, called the max-logarithmic negativity, has an operational interpretation as the exact asymptotic entanglement cost of a bipartite channel.