arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.10890quant-ph
收藏

纠缠及其在信息处理中的应用研究

Study on Entanglement and its Utility in Information Processing

Sovik Roy

摘要:

研究了最大纠缠和非最大纠缠混合态作为隐形传态信道的效率。提出了一类新的非最大纠缠混合态。证明了它们作为量子隐形传态信道优于现有的非最大纠缠混合态。混合态也可以使用量子克隆机产生。我们还研究了如何利用从与态无关的量子克隆机中获得的混合纠缠态进行隐形传态和密集编码。混合状态也可以用于秘密共享。设计了一种新的秘密共享协议,其中涉及四方。他们中的一个天生诚实,另一个不诚实。不诚实的人有两个同伙,他们也参与了协议。已经证明,诚实的一方如何通过使用量子克隆机来阻止不诚实的一方将秘密信息传递给他的同伙。建立了初始准备态的纠缠度、诚实一方应用克隆方案后接收到的混合态的纠缠度与克隆机的克隆参数之间的关系。讨论了三体和四体纠缠态在受控密集编码中的应用。论文最后对全文进行了总结,并对今后的工作进行了展望.

英文摘要:

The efficacies of maximally and that of non-maximally entangled mixed states as teleportation channels have been studied. A new class of non-maximally entangled mixed states have been proposed also. Their advantages as quantum teleportation channels over existing non-maximally entangled mixed states have been verified. The mixed states can also be generated using quantum cloning machines. We have also studied how one can utilize the mixed entangled states obtained as output from a state independent quantum cloning machine in teleportation and dense coding. Mixed states can also be used in secret sharing. A new protocol of secret sharing has been devised where four parties are involved. One of them is honest by nature and the other is dishonest. The dishonest one has two associates who are also involved in the protocol. It has been shown how the honest party, by using quantum cloning machine, can prevent the dishonest party from communicating the secret message to his accomplices. A relation has been established among entanglement of the initially prepared state, entanglement of the mixed state received by the recipients of the dishonest one after honest party applies the cloning scheme and the cloning parameters of the cloning machine. The usefulness of tri-partite and four-partite entangled states in controlled dense coding has been discussed. The thesis concludes with the summary and possible courses of future works.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑