Nonclassical correlations from random measurements

          @misc{ pirsa_PIRSA:10020080,
            doi = {10.48660/10020080},
            url = {https://pirsa.org/10020080},
            author = {Liang, Yeong-Cherng},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Nonclassical correlations from random measurements},
            publisher = {Perimeter Institute},
            year = {2010},
            month = {feb},
            note = {PIRSA:10020080 see, \url{https://pirsa.org}}
          }
          

Abstract

In this talk, I will demonstrate that correlations inconsistent with any locally causal description can be a generic feature of measurements on entangled quantum states. Specifically, spatially-separated parties who perform local measurements on a maximally-entangled state using randomly chosen measurement bases can, with significant probability, generate nonclassical correlations that violate a Bell inequality. For n parties using a Greenberger-Horne-Zeilinger state, this probability of violation rapidly tends to unity as the number of parties increases. Moreover, even with both a randomly chosen two-qubit pure state and randomly chosen measurement bases, a violation can be found about 10% of the time. Amongst other applications, our work provides a feasible alternative for the demonstration of Bell inequality violation without a shared reference frame.