概率性克隆状态的高效率

概率克隆与量子计算

Probabilistically Cloning and Quantum Computation

我们讨论了量子克隆的有用性，并提出了克隆提供了一个优势，不能匹配的任何方法，不诉诸it.In这些量子计算任务的例子，我们需要分发量子信息包含在状态，我们有一些部分信息。为了实现量子计算，我们使用状态相关的概率量子克隆过程在量子计算的中间分发量子信息。

Part probabilistic cloning of linearly dependent states

From Ref. [Phys. Rev. Lett. 80(1998)4999] one knows that the quantum states secretly chosen from a certain set can be probabilistically cloned with positive cloning efficiencies if and only if all the states in the set are linearly independent. In this paper, we focus on the probabilistic quantum cloning (PQC) of linearly dependent states with nonnegative cloning efficiencies. We show that a linearly independent subset of the linearly dependent quantum states can be probabilistically cloned if and only if any one state in the subset can not be expressed as the linear superposition of the other…

Probabilistically Perfect Cloning of Two Pure States: A Geometric Approach

We solve the long-standing problem of making n perfect clones from m copies of one of two known pure states with minimum failure probability in the general case where the known states have arbitrary a priori probabilities. The solution emerges from a geometric formulation of the problem. This formulation also reveals a deeper connection between cloning and state discrimination. The convergence of cloning to state discrimination as the number of clones goes to infinity exhibits a phenomenon analogous to a second order symmetry breaking phase transition.

正交量子比特的量子克隆

Quantum cloning of orthogonal qubits

一个最佳的通用克隆变换，从一对正交的量子比特产生一个未知的量子比特的M个副本。当M>6时，相应的克隆保真度高于一对相同量子比特的最佳复制保真度。结果表明，这种克隆变换可以实现概率通过参数下转换通过馈送信号和空闲模式的非线性晶体与正交偏振光子。

概率精确克隆和概率无信号

Probabilistic exact cloning and probabilistic no-signalling

我们表明，非本地资源不能用于概率信号，即使可以产生精确的克隆的帮助下的概率量子克隆机（PQCM）。我们表明，PQCM不能帮助区分两个统计混合物在一个遥远的位置。因此，量子理论排除了发送超光速信号的可能性，不仅是确定性的，而且是概率性的。我们给出了在纠缠系统中产生多个克隆的成功概率的一个界。

线性无关量子态的概率克隆与识别

Probabilistic cloning and identification of linearly independent quantum states

通过一般的么正约化操作构造了一个概率量子克隆机。通过测量结果的后选择，机器产生输入状态的忠实副本。证明了从某个集合$\$=\left\{\left| Ψ_1\right> ,\left| Ψ_2\right> ,... ,\left| Ψ_n\right> \right\} $中秘密选取的状态可以概率克隆当且仅当$% \left| Ψ_1\right>$，$\left| Ψ_2\right>$，$... ,$和$\left| Ψ_n\right>$是线性无关的.我们获得最佳的克隆效率。概率克隆与状态集识别问题密切相关，它是对$n$线性无关状态的一类$n+1$结果度量。这种类型的测量的最佳效率得到。