论文标题
rényi熵,签名概率和Qubit
Rényi Entropy, Signed Probabilities, and the Qubit
论文作者
论文摘要
量子信息的基本单位的量子状态为$ 2 \ times 2 $阳性的半明确遗传学矩阵,带有痕量1。我们为该程序做出了贡献,可以通过以八点相空间表征的熵不确定性原理来表征这些状态。我们通过采用Rényi熵(香农熵的概括)来做到这一点,适当定义为代表量子状态时出现的签名的相空间概率分布。
The states of the qubit, the basic unit of quantum information, are $2 \times 2$ positive semi-definite Hermitian matrices with trace 1. We contribute to the program to axiomatize quantum mechanics by characterizing these states in terms of an entropic uncertainty principle formulated on an eight-point phase space. We do this by employing Rényi entropy (a generalization of Shannon entropy) suitably defined for the signed phase-space probability distributions that arise in representing quantum states.