某些量子信息理论量的赌博解释
A gambling interpretation of some quantum information-theoretic quantities
摘要：
众所周知，对独立同分布（i.i.d.）在经典情况下，随机变量在倍增率方面引起熵的交替运算意义。我们给出了这种方法的量子扩展赌博的张量积态的测量结果。在博弈设置的某些参数下，可以给出冯诺伊曼熵的运算意义。我们讨论了两个变种的赌博时，一个助手是可用的，它表明，在他们的倍增率的差异是量子不和谐。最后，凯利的赌博设置在经典的情况下，量子扩展给出了一个翻倍率的上限由Holevo信息。
英文摘要：
It is known that repeated gambling over the outcomes of independent and identically distributed (i.i.d.) random variables gives rise to alternate operational meaning of entropies in the classical case in terms of the doubling rates. We give a quantum extension of this approach for gambling over the measurement outcomes of tensor product states. Under certain parameters of the gambling setup, one can give operational meaning of von Neumann entropies. We discuss two variants of gambling when a helper is available and it is shown that the difference in their doubling rates is the quantum discord. Lastly, a quantum extension of Kelly's gambling setup in the classical case gives a doubling rate that is upper bounded by the Holevo information.
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