"Assuming that it will also be possible to reduce the error rate of each quantum operation below 0.01%, it would be possible to perform the 2048-bit number factorization in approximately 10 days, requiring on the order of 5 × 108 ions."
Assuming that it will also be possible to reduce the error rate of each quantum operation below 0.01%, it would be possible to perform the 2048-bit number factorization in approximately 10 days, requiring on the order of 5 × 108 ions.
As a comparison : "RSA Labs claim (see: http://www.rsa.com/rsalabs/node.asp?id=2004) that 2048-bit keys are 2^32 (2 to the power of 32) times harder to break using NFS, than 1024-bit keys. 2^32 = 4,294,967,296 or almost 4.3 billion, therefore breaking a DigiCert 2048-bit SSL certificate would take about 4.3 billion times longer (using the same standard desktop processing) than doing it for a 1024-bit key. It is therefore estimated, that standard desktop computing power would take 4,294,967,296 x 1.5 million years to break a DigiCert 2048-bit SSL certificate."
