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Chinese Automation Congress

What quantum technology will bring to our daily life?

Ming Zhang

Published Oct 1, 2017• 0 citations
Publisher

Abstract

The motivation of this talk is to investigate what quantum resources will bring about in our daily life. A kind of quantization for general bipartite games is first given and then applied to both the modified classical “cash in a hat” game and modified Prisoners Dilemma game with different distribution policies. It is shown that quantum entanglement can bring full cooperation with the help of fair distribution policies. It is further demonstrated that quantum networks will make possible playing quantum game between remote players. Two schemes are given to illustrate how to play distributed quantum games between two players on the nodes of quantum networks. In our opinion, it is a worthy research topic to investigate how quantum entanglement can be exploited to achieve full cooperation with equitable distribution polices.

DOI
10.1109/cac.2017.8243155

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The motivation of this talk is to investigate what quantum resources will bring about in our daily life. A kind of quantization for general bipartite games is first given and then applied to both the modified classical “cash in a hat” game and modified Prisoners Dilemma game with different distribution policies. It is shown that quantum entanglement can bring full cooperation with the help of fair distribution policies. It is further demonstrated that quantum networks will make possible playing quantum game between remote players. Two schemes are given to illustrate how to play distributed quantum games between two players on the nodes of quantum networks. In our opinion, it is a worthy research topic to investigate how quantum entanglement can be exploited to achieve full cooperation with equitable distribution polices.
Quantum entanglement has emerged as a new resource to enhance cooperation and remove dilemmas. This paper aims to explore conditions under which full cooperation is achievable even when the information of payoff is incomplete. Based on the quantum version of the extended classical cash in a hat game, we demonstrate that quantum entanglement may be used for achieving full cooperation or avoiding moral hazards with the reasonable profit distribution policies even when the profit is uncertain to a certain degree. This research further suggests that the fairness of profit distribution should play an important role in promoting full cooperation. It is hopeful that quantum entanglement and fairness will promote full cooperation among distant people from various interest groups when quantum networks and quantum entanglement are accessible to the public.
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We explore the impact of distributional fairness degree and entanglement degree on the cooperation between different players by investigating a modified prisoner's dilemma game. We not only introduce a new concept of distributional fairness degree, but also obtain the cooperation conditions for overcoming dilemma in terms of fairness and entanglement inequalities. It is demonstrated that distributional fairness can be of fundamental importance to promote cooperation with the help of quantum entanglement.
Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player two-strategy (2 × 2) dilemma containing classical games into the quantum realm, dilemmas can be resolved in quantum pure strategies if entanglement is distributed between the players who use quantum operations. Moreover, players receive the highest sum of payoffs available in the game, which are otherwise impossible in classical pure strategies. Encouraged by the observation of rich dynamics of physical systems with many interacting parties and the power of entanglement in quantum versions of 2 × 2 games, it became generally accepted that quantum versions can be easily extended to N -player situations by simply allowing N -partite entangled states. In this article, however, we show that this is not generally true because the reproducibility of classical tasks in the quantum domain imposes limitations on the type of entanglement and quantum operators. We propose a benchmark for the evaluation of quantum and classical versions of games, and derive the necessary and sufficient conditions for a physical realization. We give examples of entangled states that can and cannot be used, and the characteristics of quantum operators used as strategies.