Florence Luy asks the question: "Is the writing on the wall for 1024-bit (RSA) encryption?"
Dutch mathematician Hendrik Willem Lenstra: "The answer to that question is an unqualified yes."

Florence Luy, Hendrik Lenstra, “A mighty number falls”, 21 May 2007, École Polytechnicque Fédérale de Lausanne

"Some physicists predicted that within the next 10 to 20 years quantum computers will be built that are sufficiently powerful to implement Shor’s ideas and to break all existing public key schemes. Thus we need to look ahead to a future of quantum computers, and we need to prepare the cryptographic world for that future.”

Prof Seth Lloyd of MIT, MIT Review 2008

“The time needed to factor an RSA integer is the same order as the time needed to use that same integer as modulus for a single RSA encryption.   In other words, it takes no more time to break RSA on a quantum computer (up to a multiplicative constant) than to use it legitimately on a classical computer.”

Professor Gilles Brassard,  "Quantum Information Processing: The Good, the Bad and the Ugly", 1997