Imperfect cloning operations in algebraic quantum theory
Imperfect cloning operations in algebraic quantum theory
复制标题
代数量子理论中的不完美克隆操作
DOI：
10.1007/s10701-014-9843-8
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发表时间：
2015
影响因子：
1.5
通讯作者：
Yuichiro Kitajima
中科院分区：
文献类型：
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作者：
田中和真;毛屋公孝;鳥越祥宏;都甲将;山下大輔;徐鉉雄;板垣奈穂;古閑一憲;白谷正治;大西利和;Yuichiro Kitajima
不可克隆定理认为不存在使非正交量子态完美克隆的幺正操作。本文的目的是研究在C*-代数框架下是否存在不完美克隆操作。我们定义了一个通用的不完美克隆操作，容忍有限lossoffidelity的克隆状态，并表明，一个单独的系统的代数的可观的是阿贝尔当且仅当有一个通用的不完美克隆操作的情况下，保真度的损失小于。因此，在这种情况下，在代数量子理论中不可能有普适的不完美克隆操作。
No-cloning theorem says that there is no unitary operation that makes perfect clones of non-orthogonal quantum states. The objective of the present paper is to examine whether an imperfect cloning operation exists or not in a C*-algebraic framework. We define a universal-imperfect cloning operation which tolerates a finite lossof fidelity in the cloned state, and show that an individual system’s algebra of observables is abelian if and only if there is a universal-imperfect cloning operation in the case where the loss of fidelity is less than. Therefore in this case no universal-imperfect cloning operation is possible in algebraic quantum theory.