Strength of interaction for information distribution and generalized Wigner-Araki-Yanase theorem
Strength of interaction for information distribution and generalized Wigner-Araki-Yanase theorem
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DOI：
10.1103/physreva.74.064302
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发表时间：
2006-08
期刊：
影响因子：
--
通讯作者：
T. Miyadera;H. Imai
中科院分区：
文献类型：
--
作者：
T. Miyadera;H. Imai
让我们考虑两个量子系统：系统A和系统B。假设一些经典信息被编码到系统$A$的量子态中，我们通过使它们相互作用将这些信息分配给两个系统。我们表明，它是不可能完美地实现这一目标，如果量子系统之间的相互作用的强度小于一个量，这是由系统的哈密顿量$A$和用于信息编码的状态（密度算子）之间的非交换性确定。这是一个推广的温格荒木柳濑定理，使我们能够处理其他的添加剂的保守量的后果。
Let us consider two quantum systems: system $A$ and system $B$. Suppose that some classical information is encoded to quantum states of the system $A$ and we distribute this information to both systems by making them interact with each other. We show that it is impossible to achieve this goal perfectly if the strength of interaction between the quantum systems is smaller than a quantity that is determined by noncommutativity between a Hamiltonian of the system $A$ and the states (density operators) used for the information encoding. This is a consequence of a generalized Winger-Araki-Yanase theorem which enables us to treat conserved quantities other than additive ones.