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

• 作者: Hideki Imai Masakazu Yoshida
• 来源期刊: 量子信息科学期刊(英文)
• 学科: 数学
• 关键词: Mean King’s PROBLEM QUANTUM Retrodiction PROBLEM QUANTUM ESTIMATION PROBLEM Shannon’s ENTROPY
• 年，卷（期）: 2013,（1）
• 页码范围: 6-9
• 页数: 4页
• 分类号: O1

摘要

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.