Mean KingĄ¯s problem is formulated as a retrodiction problem among noncommutative observables. In this paper, we reformulate Mean KingĄ¯s problem using ShannonĄ¯s entropy as a first step of introducing quantum uncertainty relation with delayed classical information. As a result, we give informational and statistical meanings to the estimation on Mean King problem. As its application, we give an alternative proof of nonexistence of solutions of Mean KingĄ¯s problem for qubit system without using entanglement.

%K Mean KingĄ¯s Problem %K Quantum Retrodiction Problem %K Quantum Estimation Problem %K ShannonĄ¯s Entropy %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=29283