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arXiv 2609.20644quant-ph

量子噪声限制的玻色模非线性保相放大

Quantum Noise Limited Nonlinear Phase-Preserving Amplification of a Bosonic Mode

Abel te Riele, Tzula B. Propp

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中文总结 AI 辅助

本文肯定地回答了量子力学允许非线性保相放大,刻画了玻色噪声限制非线性保相放大器类别,并指出其用于Yurke-Stoler猫态和Kerr小猫态的最优放大。

中文摘要 AI 辅助

量子力学是否允许存在这样的确定性放大方案:它能在玻色相空间的所有角度上均匀表现(即保相),并且在底层场算符上具有非线性?这样的方案对量子信息科学是否有用?在本文中,我们对这两个问题都给出了响亮的肯定回答。此类放大器确实存在,但与文献中先前研究的更一般的噪声限制非线性放大器相比,其形式受到高度约束。这使我们能够刻画整个玻色噪声限制非线性保相放大器类别,并确定其用途:即对Yurke-Stoler猫态和Kerr小猫态的最优放大。

英文摘要

Does quantum mechanics allow for deterministic amplification schemes that simultaneously behave uniformly for all angles of bosonic phase space (i.e. phase preserving) and are nonlinear in the underlying field operators? Would such a scheme have some utility to quantum information science? In this paper we answer both questions with a resounding yes. Such amplifiers exist, but their form is highly constrained compared to the more general set of noise limited nonlinear amplifiers previously studied in the literature. This enables us to characterize the entire class of bosonic noise-limited nonlinear phase preserving amplifiers, and identify their utility: namely, the optimal amplification of Yurke-Stoler cat states and Kerr kitten states.

发表机构

  • Leiden University(莱顿大学)

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