IQIM Postdoctoral and Graduate Student Seminar

Abstract: Bell's theorem is a landmark result in physics. It asserts that two non-communicating parties possessing quantum entanglement can produce correlations that are not achievable with classical resources only. For example, they can use entanglement to coordinate their answers in a cooperative game, and achieve a winning probability that is strictly higher than what is possible classically. In general, characterizing the relationship between different physical resources, or models of physics, and the sets of correlations that they admit is a fundamental question. In fact, it is known that different sets of correlations are admissible in different models of quantum physics. In this work, we address the long-standing open question of whether infinite-dimensional entanglement allows parties to produce correlations that cannot be achieved with unbounded but finite-dimensional entanglement alone. We settle this question affirmatively: we describe explicitly a correlation that can be achieved exactly by parties that share infinite-dimensional, but not finite-dimensional, entanglement. (Joint work with Jalex Stark)