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Article: Two-Qubit Pure Entanglement as Optical Social Welfare Resource in Bayesian Game

TitleTwo-Qubit Pure Entanglement as Optical Social Welfare Resource in Bayesian Game
Authors
Issue Date2019
PublisherVerein zur Foerderung des Open Access Publizierens in den Quantenwissenschaften. The Journal's web site is located at https://quantum-journal.org/
Citation
Quantum (Vienna), 2019, v. 3, p. 185 How to Cite?
AbstractEntanglement is of paramount importance in quantum information theory. Its supremacy over classical correlations has been demonstrated in a numerous information theoretic protocols. Here we study possible adequacy of quantum entanglement in Bayesian game theory, particularly in social welfare solution (SWS), a strategy which the players follow to maximize sum of their payoffs. Given a multi-partite quantum state as an advice, players can come up with several correlated strategies by performing local measurements on their parts of the quantum state. A quantum strategy is called quantum-SWS if it is advantageous over a classical equilibrium (CE) strategy in the sense that none of the players has to sacrifice their CE-payoff rather some have incentive and at the same time it maximizes sum of all players' payoffs over all possible quantum advantageous strategies. Quantum state yielding such a quantum-SWS is called a quantum social welfare advice (SWA). We show that any two-qubit pure entangled state, even if it is arbitrarily close to a product state, can serve as quantum-SWA in some Bayesian game. Our result, thus, gives cognizance to the fact that every two-qubit pure entanglement is the best resource for some operational task.
Persistent Identifierhttp://hdl.handle.net/10722/278773
ISSN
2019 Impact Factor: 2.921

 

DC FieldValueLanguage
dc.contributor.authorBanik, M-
dc.contributor.authorBhattacharya, SS-
dc.contributor.authorGanguly, N-
dc.contributor.authorGuha, T-
dc.contributor.authorMukherjee, A-
dc.contributor.authorRai, A-
dc.contributor.authorRoy, A-
dc.date.accessioned2019-10-21T02:13:48Z-
dc.date.available2019-10-21T02:13:48Z-
dc.date.issued2019-
dc.identifier.citationQuantum (Vienna), 2019, v. 3, p. 185-
dc.identifier.issn2521-327X-
dc.identifier.urihttp://hdl.handle.net/10722/278773-
dc.description.abstractEntanglement is of paramount importance in quantum information theory. Its supremacy over classical correlations has been demonstrated in a numerous information theoretic protocols. Here we study possible adequacy of quantum entanglement in Bayesian game theory, particularly in social welfare solution (SWS), a strategy which the players follow to maximize sum of their payoffs. Given a multi-partite quantum state as an advice, players can come up with several correlated strategies by performing local measurements on their parts of the quantum state. A quantum strategy is called quantum-SWS if it is advantageous over a classical equilibrium (CE) strategy in the sense that none of the players has to sacrifice their CE-payoff rather some have incentive and at the same time it maximizes sum of all players' payoffs over all possible quantum advantageous strategies. Quantum state yielding such a quantum-SWS is called a quantum social welfare advice (SWA). We show that any two-qubit pure entangled state, even if it is arbitrarily close to a product state, can serve as quantum-SWA in some Bayesian game. Our result, thus, gives cognizance to the fact that every two-qubit pure entanglement is the best resource for some operational task.-
dc.languageeng-
dc.publisherVerein zur Foerderung des Open Access Publizierens in den Quantenwissenschaften. The Journal's web site is located at https://quantum-journal.org/-
dc.relation.ispartofQuantum (Vienna)-
dc.titleTwo-Qubit Pure Entanglement as Optical Social Welfare Resource in Bayesian Game-
dc.typeArticle-
dc.identifier.emailBhattacharya, SS: some@hku.hk-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.22331/q-2019-09-09-185-
dc.identifier.hkuros307686-
dc.identifier.volume3-
dc.identifier.spage185-
dc.identifier.epage185-
dc.publisher.placeVienna-

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