What Is Next in Cryptology?

What would happen if all of the algorithms in public-key cryptography suddenly could be broken in seconds or minutes? Those algorithms, like RSA and elliptic curve cryptographyElliptic curve cryptography, are the ones that we depend on for Internet commerce. What if they were all of a sudden useless? Would society collapse? Would commerce be at an end? That is the promise and the danger of quantum computersQuantum computers.