Dilaton引力可以增强量子相干性并减少纠缠

中文摘要 AI 辅助

我们研究了Garfinkle-Horowitz-Strominger（GHS）dilaton黑洞对超出单模近似的Dirac场不同量子资源的影响。通过采用负性来表征量子纠缠，并采用$l_1$-范数和相干相对熵来表征量子相干性，我们证明了这些资源对引力场表现出显著不同的响应。具体而言，增加dilaton参数会持续抑制量子纠缠，在强引力区域仅留下有限的残余量，而量子相干性则得到增强，这表明dilaton诱导的时空对非局域量子关联和局域量子叠加的影响方式根本不同。此外，我们表明，初始最大纠缠态在GHS dilaton时空中传播后并不总是拥有最大的负性；相反，在适当条件下，某些非最大纠缠态可以比最大纠缠态保持更强的纠缠。这些发现揭示了dilaton黑洞背景下引力效应的资源依赖性，并为弯曲时空中相对论量子信息处理中量子资源的操控和保护提供了新的见解。

英文摘要

We investigate the influence of the Garfinkle-Horowitz-Strominger (GHS) dilaton black hole on different quantum resources of Dirac fields beyond the single-mode approximation. By employing the negativity to characterize quantum entanglement and the $l_1$-norm and the relative entropy of coherence to characterize quantum coherence, we demonstrate that these resources exhibit remarkably different responses to the gravitational field. Specifically, increasing the dilaton parameter continuously suppresses quantum entanglement, leaving only a finite residual amount in the strong-gravity regime, whereas quantum coherence is enhanced, indicating that the dilaton-induced spacetime affects nonlocal quantum correlations and local quantum superposition in fundamentally different ways. Furthermore, we show that an initially maximally entangled state does not always possess the largest negativity after propagating in the GHS dilaton spacetime; instead, under appropriate conditions, certain non-maximally entangled states can retain stronger entanglement than the maximally entangled one. These findings reveal the resource-dependent nature of gravitational effects in dilaton black hole backgrounds and provide new insights into the manipulation and protection of quantum resources for relativistic quantum information processing in curved spacetime.

发表机构

• Changzhi University（长治大学）
• Liaoning Normal University（辽宁师范大学）

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