On the BBC website, Daniel Craig has a go at explaining the title...
Craig said the cryptic title referenced how Bond's heart had been broken at the end of Casino Royale.
"Ian Fleming had written about relationships," he explained.
"When they go wrong, when there's nothing left, when the spark has gone, when the fire's gone out, there's no quantum of solace.
"And at the end of the last movie, Bond has the love of his life taken away from him and he never got that quantum of solace."
Craig said the new film would follow 007 as he goes out "to find the guy who's responsible".
"So he's looking for revenge, you know, to make himself happy with the world again.
"But it the title also alludes to something else in the film," he added.The film is due for release on the 7 November and the story picks up just half an hour after the end of Casino Royale. Read more about the title, the Bond Girls and M at the BBC website.