Lüders和量子Jeffrey定则作为熵投影
Lüders' and quantum Jeffrey's rules as entropic projections
摘要：
我们证明了标准的量子力学描述的量子态的变化，由于测量，由Lueders规则，是一个特殊的情况下，量子相对熵功能的约束最大化。这个结果是一个量子模拟的推导贝叶斯-拉普拉斯规则作为一个特殊情况下的限制最大化的相对熵。证明了Hilbert空间上密度算符的Umegaki相对熵和W*-代数上正规态的Araki相对熵.我们还介绍了量子类似的杰弗里规则，推导它在同样的方式如上所述，并讨论了这些结果的量子贝叶斯主义的意义。
英文摘要：
We prove that the standard quantum mechanical description of a quantum state change due to measurement, given by Lueders' rules, is a special case of the constrained maximisation of a quantum relative entropy functional. This result is a quantum analogue of the derivation of the Bayes--Laplace rule as a special case of the constrained maximisation of relative entropy. The proof is provided for the Umegaki relative entropy of density operators over a Hilbert space as well as for the Araki relative entropy of normal states over a W*-algebra. We also introduce a quantum analogue of Jeffrey's rule, derive it in the same way as above, and discuss the meaning of these results for quantum bayesianism.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
