论文标题
量子和半量子彩票:策略和优势
Quantum and Semi-Quantum Lottery: Strategies and Advantages
论文作者
论文摘要
彩票是一款游戏,其中多个玩家有机会获得现金或善良的奖励。此外,从早期文明时期开始,彩票也被视为分配稀缺资源的一种适当方法。从技术上讲,任何彩票方案都必须是公平和安全的,但是彩票的经典计划都不是无条件安全和公平的。由于公平要求彩票结果完全不可预测,因此本质上需要完美的随机性。量子力学不仅可以保证产生完美的随机性,还可以提供无条件的安全性。在这些事实中,在这里提出了一系列使用不同类型的量子资源(例如,单个光子状态和纠缠状态)执行彩票的策略,并确定拟议的策略会导致无条件安全且公平的彩票方案。还提出了一个允许某些经典用户参与涉及量子资源的彩票的半量子彩票方案,并且对所有提出的方案的优点和缺点进行了严格分析。它还确定安全级别与所使用的量子资源的类型本质上有关。此外,它表明,可以使用当前可用的技术在实验中实现拟议的方案,这可能预示着商业彩票的新时代。
Lottery is a game in which multiple players take chances in the hope of getting some rewards in cash or kind. In addition, from the time of the early civilizations, lottery has also been considered as an apposite method to allocate scarce resources. Technically, any scheme for lottery needs to be fair and secure, but none of the classical schemes for lottery are unconditionally secure and fair. As fairness demands complete unpredictability of the outcome of the lottery, it essentially requires perfect randomness. Quantum mechanics not only guarantees the generation of perfect randomness, it can also provide unconditional security. Motivated by these facts, a set of strategies for performing lottery using different type of quantum resources (e.g., single photon states, and entangled states) are proposed here, and it's established that the proposed strategies leads to unconditionally secure and fair lottery schemes. A scheme for semi-quantum lottery that allows some classical users to participate in the lottery involving quantum resources is also proposed and the merits and demerits of all the proposed schemes are critically analysed. Its also established that the level of security is intrinsically related to the type of quantum resources being utilized. Further, its shown that the proposed schemes can be experimentally realized using currently available technology, and that may herald a new era of commercial lottery.