PIRSA:21030033

Video URL

https://pirsa.org/21030033

Entanglement in prepare-and-measure scenarios

Tavakoli, A. (2021). Entanglement in prepare-and-measure scenarios. Perimeter Institute for Theoretical Physics. https://pirsa.org/21030033

Tavakoli, Armin. Entanglement in prepare-and-measure scenarios. Perimeter Institute for Theoretical Physics, Mar. 19, 2021, https://pirsa.org/21030033 

          @misc{ scivideos_PIRSA:21030033,
            doi = {10.48660/21030033},
            url = {https://pirsa.org/21030033},
            author = {Tavakoli, Armin},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Entanglement in prepare-and-measure scenarios},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2021},
            month = {mar},
            note = {PIRSA:21030033 see, \url{https://scivideos.org/pirsa/21030033}}
          }

Armin Tavakoli Stockholm University

Talk numberPIRSA:21030033
DOI10.48660/21030033
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

The prepare-and-measure scenario is ubiquitous in physics. However, beyond the paradigmatic example of dense coding, there is little known about the correlations p(b|x,y) that can be generated between a sender with input x and a receiver with input y and outcome b. Contrasting dense coding, we show that the most powerful protocols based on qubit communication require high-dimensional entanglement. This motivates us to systematically characterise the sets of correlations achievable with classical and quantum communication, respectively, assisted by a potentially unbounded amount of entanglement. We obtain two different SDP hierarchies for both the classical and quantum case: one based on NPA and one based on informationally-restricted correlations. In the talk, I will discuss the advantages and drawbacks of each, and show that they can be used obtain tight or nearly-tight bounds on in several concrete case studies. As examples of applications, these new tools are used to construct device-independent dimension witnesses robust to unbounded shared entanglement and several resource inequalities for quantum communications.