LOCC下不可比较态存在下的不可克隆和不可删除定理
No-Cloning and No-Deleting theorems through the existence of Incomparable states under LOCC
摘要：
通过不可比状态的存在性对局部状态变换进行约束，证明了不可克隆和不可删除定理。在确定性LOCC条件下，假设存在定义在最少两个任意状态上的精确克隆或删除操作，可以使两方联合系统的一对不可比状态进行比较.我们限制了我们的证明，假设克隆或删除操作的机器状态不保留任何关于输入状态的信息。我们使用相同的设置，建立了不克隆和不删除定理，通过不可比性，支持在其操作意义上的两个操作的互惠性。这项工作将操作的不可能性与LOCC纠缠系统的演化联系起来。
英文摘要：
No-Cloning and No-Deleting theorems are verified with the constraint on local state transformations via the existence of incomparable states. Assuming the existence of exact cloning or deleting operation defined on a minimum number of two arbitrary states, an incomparable pair of states of the joint system between two parties can be made to compare under deterministic LOCC. We have restricted our proof with the assumption that the machine states of the cloning or deleting operations do not keep any information about the input states. We use the same setting to establish the no-cloning and no-deleting theorems via incomparability that supports the reciprocity of the two operations in their operational senses. The work associates the impossibility of operations with the evolution of an entangled system by LOCC.
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