I was wondering if there was any OS/Application that has some support for transferring a document to another computer without having to save, transfer and then reopen. Basically, is there a way so that if I'm working on my desktop, I can click a button (or something similar) and then have the exact state of that computer/application transferred to another?

For example, if I'm writing a document, is there a way to get it to computer B without saving it, putting the file on my flash drive, and having to reopen it?

Edit: I just realized that this is possible through the wonderful phenomena known as cloud computing, but this is not the type of solution I'm looking for.

Edit 2: I wanted to clarify: By 'save', I meant that I didn't want to have to save it to a special location, be that a (flash) drive or uploading to the web. Saving to the local hard drive is fine (and probably necessary, since technologies such as Bluetooth require the file to be saved somewhere).

This is a bit inspired by a scene in Avatar, so I highly doubt that this actually exists... but if it does, I don't want to miss out.