## Wednesday, April 3, 2013

### First Steps in Quantum Computing

Discovery Cafe Talk: Tuesday, April 9, 5:30-6:30 PM, MC 108.  Pizza to follow immeditaley after!
Speaker: Masoud Khalkhali

Public-key encryption and security of internet communications is based on a certain mathematical hypothesis:factoring a given integer  N is a computationally difficult problem. The best current methods take about
$$O(e^{1.9 (\log N)^{1/3} (\log \log N)^{2/3}})$$
operations. This is almost exponential in log N, the number of digits of N
A quantum computer, running Shor's algorithm, can factor N in
$$O((\log N)^3)$$
steps! This is polynomial in log N, or polynomial time,  and a huge improvement over current methods.

This talk will introduce  mathematics and physics ideas behind quantum computing and Shor's fast factoring quantum computing algorithm.