On Tue, Aug 21, 2018 at 8:11 PM Bruce Kellett <[email protected]>
wrote:

> From: Brent Meeker <[email protected]>
>
>
> Quantum computers will certainly impact cryptography where there's heavy
> reliance on factoring primes and discrete logarithms.
>
>
> I am really interested in the problem of factoring primes. Will a quantum
> computer help?
>


Yes, see: https://en.wikipedia.org/wiki/Shor%27s_algorithm

New cryptographic algorithms are being developed which will presumably be
immune to quantum computers:
https://en.wikipedia.org/wiki/Post-quantum_cryptography

All current asymmetric cryptography in wide use today (for verifying
websites you go to are trusted, that software packages are correct, in
securing confidential information between you and your bank and e-mail
provider, e.g. in digital signature, public key encryption, and key
agreement protocols) are vulnerable. This includes not only RSA
<https://en.wikipedia.org/wiki/RSA_(cryptosystem)> whose security rests on
factoring primes, but also the discrete logarithm problem which is the
foundation of Diffie-Hellman
<https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange> key
exchange and elliptic curve cryptography
<https://en.wikipedia.org/wiki/Elliptic-curve_cryptography>.

Jason

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