Communication Games Reveal Preparation Contextuality

Author(s)

Hameedi, Alley ^[1] ; Tavakoli, Armin ^{[1, 2]} ; Marques, Breno ^[3] ; Bourennane, Mohamed ^[1]

Affiliation

^[1] Stockholm Univ, Dept Phys, S-10691 Stockholm - Sweden

^[2] Univ Geneva, Grp Phys Appl, CH-1211 Geneva - Switzerland

^[3] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil

• Document type: Journal article
• Source: Physical Review Letters; v. 119, n. 22 NOV 29 2017.
• Web of Science Citations: 6

Abstract

A communication game consists of distributed parties attempting to jointly complete a task with restricted communication. Such games are useful tools for studying limitations of physical theories. A theory exhibits preparation contextuality whenever its predictions cannot be explained by a preparation noncontextual model. Here, we show that communication games performed in operational theories reveal the preparation contextuality of that theory. For statistics obtained in a particular family of communication games, we show a direct correspondence with correlations in spacelike separated events obeying the no-signaling principle. Using this, we prove that all mixed quantum states of any finite dimension are preparation contextual. We report on an experimental realization of a communication game involving three-level quantum systems from which we observe a strong violation of the constraints of preparation noncontextuality. (AU)

• FAPESP's process: 14/27223-2 - Control of quantum information with continuous variables of light beams
• Grantee: Breno Marques Goncalves Teixeira
• Support Opportunities: Scholarships in Brazil - Post-Doctoral