| No-cloning of nonorthogonal states does not require inner product preserving | |
| Li, DF ; Li, XR ; Huang, HT ; Li, XX | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | THEOREM CANNOT Physics, Mathematical |
| 中文摘要 | The no-cloning theorem says there is no quantum copy machine which can copy any one-qubit state. Inner product preserving was always used to prove the no-cloning of nonorthogonal states. In this paper we show that the no-cloning of nonorthogonal states does not require inner product preserving and discuss the minimal properties which a linear operator possesses to copy two different states at the same device. In this paper, we obtain the following necessary and sufficient condition. For any two different states vertical bar psi >=a vertical bar 0 >+b vertical bar 1 > and vertical bar phi >=c vertical bar 0 >+d vertical bar 1 >, assume that a linear operator L can copy them, that is, L(vertical bar psi,0 >)=vertical bar psi,psi > and L(vertical bar phi,0 >)=vertical bar phi,phi >. Then the two states are orthogonal if and only if L(vertical bar 0,0 >) and L(vertical bar 1,0 >) are unit length states. Thus we only need linearity and that L(vertical bar 0,0 >) and L(vertical bar 1,0 >) are unit length states to prove the no-cloning of nonorthogonal states. It implies that inner product preserving is not necessary for the no-cloning of nonorthogonal states. (c) 2005 American Institute of Physics. |
| 语种 | 英语 ; 英语 |
| 出版者 | AMER INST PHYSICS ; MELVILLE ; CIRCULATION & FULFILLMENT DIV, 2 HUNTINGTON QUADRANGLE, STE 1 N O 1, MELVILLE, NY 11747-4501 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14043]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Li, DF,Li, XR,Huang, HT,et al. No-cloning of nonorthogonal states does not require inner product preserving[J],2010, 2010. |
| APA | Li, DF,Li, XR,Huang, HT,&Li, XX.(2010).No-cloning of nonorthogonal states does not require inner product preserving.. |
| MLA | Li, DF,et al."No-cloning of nonorthogonal states does not require inner product preserving".(2010). |
| 个性服务 |
| 查看访问统计 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
修改评论