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arXiv 2401.00295quant-ph
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量子门的不完美纠缠能力

Imperfect Entangling Power of Quantum Gates

Sudipta Mondal, Samir Kumar Hazra, Aditi Sen De

AI总结:

该研究针对量子门参数控制缺陷与输入态噪声问题,提出不完美纠缠能力概念,揭示不同幺正算符下淬灭平均纠缠能力的行为规律,以及噪声对最优输入态和算符纠缠能力排序的影响。

摘要:

实现对定义量子门的参数的完美控制通常是一项极具挑战性的任务,同时,环境相互作用也会对初始态引入扰动。本文研究了幺正算符中的缺陷以及输入态中存在的噪声如何影响给定量子门的纠缠产生能力——我们将其称为不完美(含噪)纠缠能力。我们观察到,当给定幺正算符的参数从以期望均值为中心的高斯分布中随机选取时,淬灭平均纠缠能力(在多次随机采样上取平均)表现出有趣的行为:对于特定类别的对角幺正算符,该能力可能随无序强度的增加而提升,或呈现非单调行为。对于任意幺正算符,淬灭平均能力趋于稳定,随参数变化表现出几乎恒定的行为,而非振荡。我们的观察还揭示,在存在局部噪声模型的情况下,使给定幺正算符纠缠能力最大化的输入态与无噪声场景下的输入态存在显著差异。此外,我们发现无噪声情况下根据纠缠能力对幺正算符的排序会随噪声模型和噪声强度的变化而改变。

英文摘要:

Achieving perfect control over the parameters defining a quantum gate is, in general, a very challenging task, and at the same time, environmental interactions can introduce disturbances to the initial states as well. Here we address the problem of how the imperfections in unitaries and noise present in the input states affect the entanglement-generating power of a given quantum gate -- we refer to it as imperfect (noisy) entangling power. We observe that, when the parameters of a given unitary are chosen randomly from a Gaussian distribution centered around the desired mean, the quenched average entangling power -- averaged across multiple random samplings -- exhibits intriguing behavior like it may increase or show nonmonotonic behavior with the increase of disorder strength for certain classes of diagonal unitary operators. For arbitrary unitary operators, the quenched average power tends to stabilize, showing almost constant behavior with variation in the parameters instead of oscillating. Our observations also reveal that, in the presence of a local noise model, the input states that maximize the entangling power of a given unitary operator differ considerably from the noiseless scenario. Additionally, we report that the rankings among unitary operators according to their entangling power in the noiseless case change depending on the noise model and noise strength.

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。

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