# Quantum

## Quantum Signature

Signature forgery with conventional (elliptic curve based) methods is possible as with a sufficient quantum computer an adversary can recover secret keys from public keys using Shor's factorization. As blockchains are immutable and their data to be available for a long time, one has prepare for these adversaries. With QAN its safer to assume that even when more advanced quantum computers are built, the chance for a signature forgery would be negligible‌

## Security <a href="#security" id="security"></a>

We use Lattece based crypto. The theoretical framework are based on the following studies:&#x20;

Craig Gentry, Chris Peikert, Vinod Vaikuntanathan : How to Use a Short Basis:Trapdoors for Hard Lattices andNew Cryptographic Constructions Source: <https://eprint.iacr.org/2017/766.pdf>&#x20;

Daniele Micciancio∗Chris Peikert: Trapdoors for Lattices:Simpler, Tighter, Faster, Smaller (2011) Source: <https://eprint.iacr.org/2011/501.pdf>&#x20;

Arjun Chopra: GLYPH: A New Instantiation of the GLP Digital SignatureSchemeA Source: <https://eprint.iacr.org/2017/766.pdf>​\\
