Distinguishability measures and entropies for general probabilistic theories

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• 作者：Gen Kimura¹ ; ^{gen-kimura@aist.go.jp"" rel=""nofollow} ; Koji Nuida¹ ; ^{k.nuida@aist.go.jp"" rel=""nofollow} ; Hideki Imai¹ ; ²
• 关键词：foundations of quantum theory ; general probabilistic theories ; distinguishability measures and entropies
• 刊名：Reports on Mathematical Physics
• 出版年：2010
• 出版时间：October 2010
• 年：2010
• 卷：66
• 期：2
• 页码：175-206
• 全文大小：1916 K

文摘

As a part of the construction of an information theory based on general probabilistic theories, we propose and investigate several distinguishability measures and “entropies” in general probabilistic theories. As their applications, no-cloning theorems, information-disturbance theorems are reformulated, and a bound of the accessible informations is discussed in general probabilistic theories, not resorting to quantum theory. We also propose the principle of equality for pure states which makes general probabilistic theories more realistic, and we discuss the role of entropies as a measure of pureness.