We show that a quantum state can be perfectly cloned up to global mirroring with a unitary transformation that depends on one single parameter. We then show that this is equivalent to "perfect" cloning for quantum associative memories which, as a consequence efficiently hold exponentially more information than their classical counterparts. Finally, we present a quantum associative retrieval algorithm which can correct corrupted inputs and is exponentially faster than the Grover algorithm.

翻译：我们证明量子状态可以完全克隆到全球镜像的单一转换,它取决于单一的参数。 然后我们证明这相当于量子联系记忆的“完美”克隆,因此,它有效掌握的信息比古典对应方多成指数。 最后,我们提出了一个量子联系检索算法,它可以纠正腐蚀的投入,并且比格罗弗算法的指数更快。