The stable Tomdroid, an application compatible with Tomboy Notes that you can use to sync notes between your desktop computer and Android device, works in read-only mode for now so you can only read the notes created on your computer, but you can't edit them or create new notes.
But there's some good news. Tomdroid 0.7 beta was released recently, adding support for editing and creating new notes along with other new features. The new beta version isn't available on the Android market (Google Play), but you can download the apk from Launchpad.
Tomdroid 0.7 beta features:
- basic tablet support
- two way sync along with the ability to create, edit and delete notes
- rich text editor
- automatic renaming of notes with duplicate title
- automatic note saving on pause
- ability to revert changes
- note conflict resolution screen when notes are of different date and both older or newer than last sync date
- automatic authentication - if you use Ubuntu One, pressing "Sync" on first launch is enough to authenticate and sync
- updating progress bar with information on current task, number of notes
- switching sync services/servers doesn't clear notes database anymore
- Preference tweaks: change base font size, back up notes to SD card, remove all notes from remote service, show/hide note templates, clear local notes database
You can download Tomdroid 0.7 beta "House of Fun" from Launchpad (apk).
This is a beta release, so you'll probably find bugs - report them @ Launchpad.