Generating a maximally entangled state via a pure global noise environment

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-03 DOI:10.1088/1612-202x/ad3627

Fan-Zhen Kong, Jun-Long Zhao

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引用次数: 0

Abstract

We studied the entangling power of two pure global noises, i.e. amplitude damping noise and classic noise. The entangling power of the two-qubit amplitude damping global noise periodically oscillates with time. Additionally, the entangling power of two-qubit global classical noise increases exponentially with time. The maximum entangling power of both of them exceeds that of the perfect entanglers. Based on this, we propose the conditions for generating a maximally entangled state with global noise acting on a two-qubit separable state. Only if the two-qubit composite system, which is initially in one of those product states:

12(|0⟩±|1⟩)⊗12(|0⟩±|1⟩)

|10⟩

and

|01⟩

suffers an amplitude damping global noise, can we prepare this system in the maximally entangled state by appropriately controlling the evolution time of amplitude damping. Finally, we investigate the disentanglement of the maximum entangled Bell state using these two types of global noise. The two global noises cannot completely disentangle the Bell states

Φ±

. Under the influence of amplitude damping global noise, the entanglement of Bell state

Ψ+

undergoes a cyclical variation, alternating between disappearance and recovery to reach maximum entanglement within one period. The entanglement of either Bell state

Ψ+

Ψ−

is completely independent of global classical noise. The entanglement of Bell state

Ψ−

is also robust against amplitude damping global noise.

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通过纯全局噪声环境生成最大纠缠态

我们研究了两种纯全局噪声（即振幅阻尼噪声和经典噪声）的纠缠功率。双量子比特振幅阻尼全局噪声的纠缠功率随时间呈周期性振荡。此外，双量子比特全局经典噪声的纠缠功率随时间呈指数增长。它们的最大纠缠功率都超过了完美纠缠器的纠缠功率。在此基础上，我们提出了作用于双量子比特可分离状态的全局噪声产生最大纠缠态的条件。只有当双量子比特复合系统最初处于其中一个乘积态时，才能产生最大纠缠态：12(|0⟩±|1⟩)⊗12(|0↪Pe_27E9±|1⟩)、|10⟩和|01⟩遭受振幅阻尼全局噪声时，我们才能通过适当控制振幅阻尼的演化时间，使该系统处于最大纠缠态。最后，我们利用这两种全局噪声研究了最大纠缠贝尔态的解纠缠问题。这两种全局噪声不能完全解除贝尔态Φ±的纠缠。在振幅阻尼全局噪声的影响下，贝尔态 Ψ+ 的纠缠发生周期性变化，在消失和恢复之间交替进行，并在一个周期内达到最大纠缠。贝尔态 Ψ+ 或 Ψ- 的纠缠完全不受全局经典噪声的影响。贝尔态 Ψ- 的纠缠对振幅阻尼全局噪声也是稳健的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.