TITLE:
Re-Formulation of Mean King’s Problem Using Shannon’s Entropy
AUTHORS:
Masakazu Yoshida, Hideki Imai
KEYWORDS:
Mean King’s Problem; Quantum Retrodiction Problem; Quantum Estimation Problem; Shannon’s Entropy
JOURNAL NAME:
Journal of Quantum Information Science,
Vol.3 No.1,
March
29,
2013
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.