B.-G. Englert and Y. Aharonov, “The Mean King’s Problem: Prime Degrees of Freedom,” Physics Letters A, Vol. 284, No. 1, 2001, pp. 1-5.
has been cited by the following article:
- 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
Sep 05, 2014
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.