Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game
Entanglement 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 soluti...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2019-09-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2019-09-09-185/pdf/ |
| _version_ | 1811200490226057216 |
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| author | Manik Banik Some Sankar Bhattacharya Nirman Ganguly Tamal Guha Amit Mukherjee Ashutosh Rai Arup Roy |
| author_facet | Manik Banik Some Sankar Bhattacharya Nirman Ganguly Tamal Guha Amit Mukherjee Ashutosh Rai Arup Roy |
| author_sort | Manik Banik |
| collection | DOAJ |
| description | Entanglement 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. |
| first_indexed | 2024-04-12T02:05:03Z |
| format | Article |
| id | doaj.art-dbe1acb054c04fafbd7cdeac728d4cf8 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-12T02:05:03Z |
| publishDate | 2019-09-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-dbe1acb054c04fafbd7cdeac728d4cf82022-12-22T03:52:33ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2019-09-01318510.22331/q-2019-09-09-18510.22331/q-2019-09-09-185Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian GameManik BanikSome Sankar BhattacharyaNirman GangulyTamal GuhaAmit MukherjeeAshutosh RaiArup RoyEntanglement 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.https://quantum-journal.org/papers/q-2019-09-09-185/pdf/ |
| spellingShingle | Manik Banik Some Sankar Bhattacharya Nirman Ganguly Tamal Guha Amit Mukherjee Ashutosh Rai Arup Roy Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game Quantum |
| title | Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game |
| title_full | Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game |
| title_fullStr | Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game |
| title_full_unstemmed | Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game |
| title_short | Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game |
| title_sort | two qubit pure entanglement as optimal social welfare resource in bayesian game |
| url | https://quantum-journal.org/papers/q-2019-09-09-185/pdf/ |
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