Violation of Bell's inequality in continuous variable systems

          @misc{ pirsa_PIRSA:24090195,
            doi = {10.48660/24090195},
            url = {https://pirsa.org/24090195},
            author = {Singh, Gurpahul},
            keywords = {},
            language = {en},
            title = {Violation of Bell{\textquoteright}s inequality in continuous variable systems},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {sep},
            note = {PIRSA:24090195 see, \url{https://pirsa.org}}
          }
          

Abstract

Violations of Bell’s inequality have been studied for spin-1/2 systems in much detail. Turns out that one can show Bell violation for systems that are expressed in terms of continuous variables such as position and momentum. The most ubiquitous examples of such systems are Gaussian states, notably the two-mode squeezed vacuum state. I will talk about how one can quantify violations of local realism in such states. I will discuss the dependence of Bell violation on temperature as well as the result that entanglement is not a monotonic function of Bell's inequality.