Quantum Locality in Game Strategy.
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.
Centre for Bioinformatics and Photonics-CIBioFi, Calle 13 No. 100-00, Edificio 320 No. 1069, 760032 Cali, Colombia.|Departamento de Física, Universidad del Valle, 760032, Cali, Colombia.|Experimental Physics IV, University of Bayreuth, 95440 Bayreuth, Germany.
Carlos A
CA
Melo-Luna
Centre for Bioinformatics and Photonics-CIBioFi, Calle 13 No. 100-00, Edificio 320 No. 1069, 760032 Cali, Colombia.|Departamento de Física, Universidad del Valle, 760032, Cali, Colombia.|Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, UK.
Cristian E
CE
Susa
Centre for Bioinformatics and Photonics-CIBioFi, Calle 13 No. 100-00, Edificio 320 No. 1069, 760032 Cali, Colombia.|Departamento de Física, Universidad del Valle, 760032, Cali, Colombia.
Andrés F
AF
Ducuara
Departamento de Física, Universidad del Valle, 760032, Cali, Colombia.
Astrid
A
Barreiro
Centre for Bioinformatics and Photonics-CIBioFi, Calle 13 No. 100-00, Edificio 320 No. 1069, 760032 Cali, Colombia.|Departamento de Física, Universidad del Valle, 760032, Cali, Colombia.
John H
JH
Reina