Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game
arXiv:1703.02773 · doi:10.22331/q-2019-09-09-185
Abstract
Entanglement is of paramount importance in quantum information theory. Its supremacy over classical correlations has been demonstrated in 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 the 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 the 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.
arXiv commentAccepted in Quantum (accepted version)
References in corpus (26)
- Quantum entanglement
- Bell nonlocality
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum Games and Quantum Strategies
- Quantum strategies
- Non-local correlations as an information theoretic resource
- Randomness vs Non Locality and Entanglement
- All Entangled Quantum States Are Nonlocal
- Sum-of-squares decompositions for a family of CHSH-like inequalities and their application to self-testing
- All entangled states are useful for channel discrimination
- All entangled states are useful for information processing
- Robust Self Testing of Unknown Quantum Systems into Any Entangled Two-Qubit States
- Bell nonlocality and Bayesian game theory
- Quantum games: a review of the history, current state, and interpretation
- Lifting Bell inequalities
- Secrecy extraction from no-signalling correlations
- Asymptotic violation of Bell inequalities and distillability
- All entangled states can demonstrate non-classical teleportation
- Nonlocality and conflicting interest games
- On modifications of Reichenbach's principle of common cause in light of Bell's theorem
- Bayesian Nash Equilibria and Bell Inequalities
- Nonlocal correlations: Fair and Unfair Strategies in Bayesian Game
- No nonlocal box is universal
- Nash embedding and equilibrium in pure quantum states
- Strong Quantum Solutions in Conflicting Interest Bayesian Games
- Bell-type inequalities for non-local resources
Cited by in corpus (11)
- An elegant proof of self-testing for multipartite Bell inequalities
- Quantum Advantage for Shared Randomness Generation
- Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
- Advantage of Quantum Theory Over Non-classical Models of Communication
- Operational Characterization of Multipartite Nonlocal Correlations
- Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence
- Classical analogue of quantum superdense coding and communication advantage of a single quantum system
- Quantum Advantage: A Single Qubit's Experimental Edge in Classical Data Storage
- Multistage games and Bell scenarios with communication
- Minimum Detection Efficiencies for Loophole-free Genuine Nonlocality Tests
- Bipartite polygon models: entanglement classes and their nonlocal behaviour