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

Public key crypto key exchanges (RSA, D&H, ECC) would be ‘flat-lined’ under a quantum computer attack … "Open Problem”

Brian Snow, Former Technical Director of the US National Security Agency (NSA), Public Key Cryptography 30th Anniversary Conference, Dec 2006

“We are a cyber nation. The U.S. information infrastructure--including telecommunications and computer networks and systems and the data that reside on them--is critical to virtually every aspect of modern life. This information infrastructure is increasingly vulnerable to exploitation, disruption, and destruction by a growing array of adversaries.”

The National Coordination Office (NCO) for Networking Information Technology Research and Development (NITRD), Federal Register: December 30, 2008 (Volume 73, Number 250).