强Chi-2非线性对量子处理的光谱效应
Spectral Effects of Strong Chi-2 Non-Linearity for Quantum Processing
摘要：
光学$χ^{(2)}$非线性可用于参量放大和产生具有广泛应用的下转换纠缠光子对。众所周知，弱非线性介质表现出色散并产生频率响应。因此，了解强$χ^{(2)}$晶体的光谱效应如何影响性能是有意义的。在这里，我们建模的光谱效应的色散的强$χ^{(2)}$晶体，并说明这如何影响其能力，进行贝尔测量和影响的性能的量子门，采用这样的贝尔测量。我们表明，戴森级数展开的酉算子是必要的，在一般情况下，导致不必要的光谱纠缠。我们确定了一个限制的情况下，采用周期性极化，其中泰勒级数展开是一个很好的近似，这种纠缠可以被删除。
英文摘要：
Optical $χ^{(2)}$ non-linearity can be used for parametric amplification and producing down-converted entangled photon pairs that have broad applications. It is known that weak non-linear media exhibit dispersion and produce a frequency response. It is therefore of interest to know how spectral effects of a strong $χ^{(2)}$ crystal affect the performance. Here we model the spectral effects of the dispersion of a strong $χ^{(2)}$ crystal and illustrate how this affects its ability to perform Bell measurements and influence the performance of a quantum gates that employ such a Bell measurement. We show that a Dyson series expansion of the unitary operator is necessary in general, leading to unwanted spectral entanglement. We identify a limiting situation employing periodic poling, in which a Taylor series expansion is a good approximation and this entanglement can be removed.
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