量子算子的弱值展开及其在随机矩阵中的应用
Weak value expansion of quantum operators and its application in stochastic matrices
摘要：
证明了任意Hermitian算子都可以用一组由双正交基构成的算子展开，并给出了展开系数为权函数与弱值的乘积，从而为弱值的物理解释提供了新的思路.我们的方法的效用展示与自旋一半和自旋一个系统的例子，其中不可逆的随机矩阵描述的投影测量的混合状态的子集被确定。
英文摘要：
It is shown that any Hermitian operator can be expanded in terms of a set of operators formed from biorthogonal basis, and the expansion coefficients are given as products of weight functions and weak values, shedding a new light on the physical interpretation of the weak value. The utility of our approach is showcased with examples of spin one-half and spin one systems, where irreversible subset of stochastic matrices describing projective measurement on a mixed state is identified.
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。
