Unfortunately there are no analogue outputs on the Logitech G930 as it's a USB digital audio device for Windows. There's no way to output the microphone level analogue signals that the XBox One requires and you'd only ever get stereo audio, not surround sound.
Also, is the Logitech g933 compatible with Xbox one?
The G933 gaming headset can be connected to your Xbox One™ console using the included the 3.5mm audio cable. Set the mode switch on the G933 gaming headset to Wireless Off mode for passive audio mode, or set to Wireless On mode for active audio mode with additional features.
Subsequently, question is, can I use a USB headset on my Xbox one? You cannot use USB devices with the Xbox One unless they are branded as "Made for Xbox One" because sadly Microsoft requires a special communications chip to allow USB devices (headsets, mic, etc) to function on the Xbox One. This is different than on PC and PS4. Your headset sadly is not compatible with Xbox One.
In respect to this, does Logitech headset work with Xbox one?
If you have the 1 gen Xbox One controller, then you'll need a headphone adapter from Microsoft, Turtle Beach or Astro for it to work. The USB dongle for this headphone will not stream Xbox one Gaming Audio. Logitech also recommends using the Headphones in passive mode for the Xbox one.
How do I use my Logitech g935 on Xbox one?
According to the user manual of the G935 headset, you connect the headset to the Xbox One controller via the headphone jack cable. For wireless operation, the G935 uses the USB adapter that only works on PC. So on the console, you have the wireless connection between console and controller.