Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
APA
Quintino, M. (2015). Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality. Perimeter Institute. https://pirsa.org/15050013
MLA
Quintino, Marco. Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality. Perimeter Institute, May. 26, 2015, https://pirsa.org/15050013
BibTex
@misc{ pirsa_PIRSA:15050013, doi = {10.48660/15050013}, url = {https://pirsa.org/15050013}, author = {Quintino, Marco}, keywords = {Quantum Foundations}, language = {en}, title = {Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality}, publisher = {Perimeter Institute}, year = {2015}, month = {may}, note = {PIRSA:15050013 see, \url{https://pirsa.org}} }
In this talk we will discuss the relation between the incompatibility of quantum measurements and quantum nonlocality. We show that any set of measurements that is not jointly measurable (i.e. incompatible) can be used for demonstrating EPR steering, a form of quantum nonlocality. This implies that EPR steering and (non) joint measurability can be viewed as equivalent. Moreover, we discuss the connection between Bell nonlocality and joint measurability, and give evidence that both notions are inequivalent. This suggest the existence of incompatible quantum measurements which are Bell local, similarly to certain entangled states which admit a local hidden variable model. Finally, we discuss applications of these results to problems in joint mesurability, and for EPR steering using randomly chosen measurements.