Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (23): 18-20.

• 博士论坛 • Previous Articles     Next Articles

Deleting and cloning of quantum information

REN Lin-yuan1,LI Yong-ming2   

  1. 1.College of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710062,China
    2.College of Computer Science,Shaanxi Normal University,Xi’an 710062,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2007-08-11 Published:2007-08-11
  • Contact: REN Lin-yuan

量子信息的删除和克隆

任林源1,李永明2   

  1. 1.陕西师范大学 数学与信息科学学院,西安 710062
    2.陕西师范大学 计算机科学学院,西安 710062
  • 通讯作者: 任林源

Abstract: Using the reduced density operator of quantum state to study the deletion and clone of quantum information.Testify that there no exists quantum deleting machine which makes the deleted states and the blank states be correlated;also we can not construct a machine to perfectly delete arbitrary mixed quantum states.At last,we consider the problem of cloning and deleting of mixed quantum states in the case of probabilistic form,provide a sufficient and necessary condition in the form of probability with a unification formula.By using the results obtained,the processing of quantum information can be further comprehended and has aspiring significance for quantum computer.

Key words: quantum computer, quantum mixed states, perfect delete, perfect clone, probabilistic delete, probabilistic clone

摘要: 利用量子态的约化密度算子研究了量子信息的删除和克隆。证明了被删除态与删除完成后的态无关的量子删除计算机机不存在;然后证明了当输入态为混合态时,也不可以构造出精确克隆混合量子态的量子克隆计算机;最后考虑了混合态的概率克隆和删除问题,得到了在概率形式下,它们可以统一表示的一个充要条件。所获得结果可以加深对量子信息处理的理解并且在量子计算机的实现上有着积极的意义。

关键词: 量子计算机, 量子混合态, 精确删除, 精确克隆, 概率删除, 概率克隆