Quantitative Easing is the creation of money to buy assets and therefore carries the risk of asset price inflation. It is used when the central bank intends assets prices to go up, e.g. after they slumped in a recession.
Basic Income on the other hand does not entail creation of new money. Most Basic Income proposals finance the costs through taxation or other government revenue (including savings from simplification and/or reduction of welfare programs that BI allows).
Creation of new money to redistribute to consumers would cause consumer price inflation and is unlikely to bring meaningful benefits in the long term.
EDIT: Also, the money created by the central bank in QE is lent to the government and/or banks, not given to them. It must be returned to the central bank. On the other hand, BI is not debt and need not be repaid.
That said, I remember this article about a well known futuristic society that possibly made the transition to a post scarcity world http://www.slate.com/blogs/moneybox/2013/11/18/star_trek_eco... I'd personally be happy to live in that kind of world.
Where we are and where they are are known, how to perform the transition is still to be understood.