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arXiv 2209.12969quant-ph
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利用二次谐波和双模压缩真空态实现无条件远程纠缠

Unconditional remote entanglement using second-harmonic generation and twin two-mode squeezed vacuum states

Richard J. Birrittella, James Schneeloch, Christopher C. Tison, Michael L. Fanto, Paul M. Alsing, Christopher C. Gerry

摘要:

我们提出了一种基于光子学的,连续变量(CV)形式的远程纠缠,利用严格的二阶非线性光学相互作用,不需要实施状态投影测量(即远程纠缠无条件)。该方案利用两个单独的下变频器,其中相应的非线性晶体由强经典场驱动,如由参数近似所规定的,以及非简并二次谐波产生(SHG)的全量子力学模型,其演化由$\hat{H}_{\text{shg}} = i\hbarκ\big(\hat{a}\hat{b}\hat{c}^{\dagger} - \hat{a}^{\dagger}\hat{b}^{\dagger}\hat{c}\big)$形式的三线性哈密顿量描述。通过两个下变频器的信号模式驱动的SHG过程中,我们显示的纠缠形成之间产生的二次谐波模式(SH模式)和非相互作用的联合空闲子系统,而不需要任何状态还原测量的相互作用模式。

英文摘要:

We propose a photonics-based, continuous-variable (CV) form of remote entanglement utilizing strictly second-order nonlinear optical interactions that does not require the implementation of a state-projective measurement (i.e. remote entanglement without conditioning). This scheme makes use of two separate down-converters, wherein the corresponding nonlinear crystals are driven by strong classical fields as prescribed by the parametric approximation, as well as a fully quantum mechanical model of nondegenerate second harmonic generation (SHG) whose evolution is described by the trilinear Hamiltonian of the form $\hat{H}_{\text{shg}} = i\hbarκ\big(\hat{a}\hat{b}\hat{c}^{\dagger} - \hat{a}^{\dagger}\hat{b}^{\dagger}\hat{c}\big)$. By driving the SHG process with the signal modes of the two down-converters, we show entanglement formation between the generated second-harmonic mode (SH-mode) and the non-interacting joint-idler subsystem without the need for any state-reductive measurements on the interacting modes.

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