Apparently, folks over at Android Police who have an eye for code have discovered evidence in the Google Search APK code that points to an option which would allow it to receive a note that has been sent from your computer. Some of the strings will touch on this particular feature, and it is shaping up to offer the user two options – to save or copy the received note.
The two options is said to be made available in the notification tray itself, and it will function in the same manner as expected – pressing the save button will redirect the note to another app of your choice that captures and saves notes, while the copy button will ferry the text over to the clipboard. It remains to be seen just where these notes are sent from though, perhaps Google is looking into a Chrome extension to get the job done?