arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1802.03038quant-ph
收藏

与所有两量子比特态具有相同谱和纠缠的X态

X States of the Same Spectrum and Entanglement as All Two-Qubit States

Samuel R. Hedemann

摘要:

我们提出了一个显式的两量子比特X态族,其纠缠保持酉(EPU)等价于一般态集;也就是说,对于一般态可实现的任何光谱纠缠组合,这个族包含具有相同光谱和纠缠的X态。这个想法最初是由作者提出的,并在arXiv:1310.7038中得到了有力的数字证据的支持。然后,在Ann.Phys.351(2014)79中,作者证明了这种双量子比特幺正变换的存在性,但发现参数是超越的,无法得到显式解。在这里,通过不同的方法,我们证明了这种变换的存在性,获得了一个紧凑的隐式解决方案,并提供了一个精确的,明确的形式所需的X-状态家庭。

英文摘要:

We present an explicit family of two-qubit X states with entanglement-preserving unitary (EPU) equivalence to the set of general states; that is, for any spectrum-entanglement combination achievable by general states, this family contains an X state of the same spectrum and entanglement. This idea was originally conjectured by the author and supported with strong numerical evidence in arXiv:1310.7038. Then, in Ann. Phys. 351 (2014) 79, the authors proved the existence of such two-qubit unitary transformations, but found the parameters to be transcendental, eluding explicit solution. Here, by a different method, we prove the existence of such transformations, obtain a compact implicit solution for them, and provide an exact, explicit form of the desired X-state family.

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。

↑