Quantum locality in game strategy

Carlos A. Melo-Luna, Cristian E. Susa, Andrés F. Ducuara, Astrid Barreiro, John H. Reina (Corresponding author)

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23 Citations (Scopus)
38 Downloads (Pure)

Abstract

Game theory is a well established branch of mathematics whose formalism has a vast range of applications from the social sciences, biology, to economics. Motivated by quantum information science, there has been a leap in the formulation of novel game strategies that lead to new (quantum Nash) equilibrium points whereby players in some classical games are always outperformed if sharing and processing joint information ruled by the laws of quantum physics is allowed. We show that, for a bipartite non zero-sum game, input local quantum correlations, and separable states in particular, suffice to achieve an advantage over any strategy that uses classical resources, thus dispensing with quantum nonlocality, entanglement, or even discord between the players' input states. This highlights the remarkable key role played by pure quantum coherence at powering some protocols. Finally, we propose an experiment that uses separable states and basic photon interferometry to demonstrate the locally-correlated quantum advantage.

Original languageEnglish
Article number44730
Number of pages11
JournalScientific Reports
Volume7
DOIs
Publication statusPublished - 22 Mar 2017
Externally publishedYes

Funding

C.E.S. gratefully acknowledges V. Vedral and his Group for hospitality and discussions during a research stay where part of this work was performed. C.A.M.-L. acknowledges to J. Khler, R. Hildner and the EPIV research chair for the valuable support during a research stay. We are grateful to A. Argelles for a critical reading of the manuscript. We acknowledge financial support from the Colombian Science, Technology and Innovation Fund-General Royalties System (Fondo CTeI-Sistema General de Regalias, contract BPIN 2013000100007), COLCIENCIAS (grant 71003), Universidad del Valle (grant 7930) and CIBioFi.

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