Re-Formulation of Mean King’s Problem Using Shannon’s Entropy

Masakazu Yoshida, Hideki Imai

Graduate School of Science and Engineering, Chuo University, Tokyo, Japan.

DOI: 10.4236/jqis.2013.31002                

Abstract

Mean King’s problem is formulated as a retrodiction problem among noncommutative observables. In this paper, we reformulate Mean King’s problem using Shannon’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 King’s problem for qubit system without using entanglement.

Keywords

Mean King’s Problem; Quantum Retrodiction Problem; Quantum Estimation Problem; Shannon’s Entropy

Conflicts of Interest

The authors declare no conflicts of interest.

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