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LMH6401: Single ended to differential conversion with no gain and low noise figure

Part Number: LMH6401
Other Parts Discussed in Thread: THS4131, , LMH5401

I need to convert a single ended signal to a differential signal. However, I do not require gain. Additionally, this is a highly sensitive measurement, so low noise figure is critical. The only SE to differential converters I can find are amplifiers with quite a bit of gain. With the gain, I end up having to add attenuation (both before and after amplification), which greatly reduces SNR.

Is there a SE to differential converter with no gain and low noise figure?