Post on 07-Nov-2014
description
nullcon Goa 2010 http://nullcon.net
Quantum Computing-Challenges in the field of security
- Navin “M@dmAx” Pai
nullcon Goa 2010 http://nullcon.net
About The Moron
Comp Sc. Student/ Net-Sec Junkie/ Blogger/ Photographer/ Geek/ Super N00b/ Quantum Computing Fanatic/ Web Designer/ Space Monkey/ Ninja/ Technoholic/ Movie Maniac/ Goan/ Internet Moron
nullcon Goa 2010 http://nullcon.net
If U didn’t know this, shoot yourself!!
Moore's Law states, the number of transistors on a μP doubles every 18 months.
So by 2020 or 2030 will find the circuits on a μP measured on an atomic scale. And the logical next step will be quantum computers, which will harness the power of atoms and molecules to perform memory and processing tasks.
nullcon Goa 2010 http://nullcon.net
I Qu(b)it!!
Quantum Superposition
Bit can either
be 1 or 0
Qubit can be 1, 0
or a superposition
of both!
nullcon Goa 2010 http://nullcon.net
Heisenberg’s Feline
nullcon Goa 2010 http://nullcon.net
The statement
Quantum Computers rock at factoring, esp. using Shor’s theorem.
Infact, as number of bits increases, the factoring operation becomes more and more efficient!
nullcon Goa 2010 http://nullcon.net
Long Story Shor(t)
O((log N)3)
A)Pick random number a<N
B)Use Period finding function to find period of
C)Check conditions
D)GCD of (ar/2 +- 1) and N is one of the reqd. factors
nullcon Goa 2010 http://nullcon.net
The Problem
Most current encryption algorithms work under consideration that factoring large numbers is practically impossible
Eg. RSA Algorithm (used even by banks/e-commerce)
nullcon Goa 2010 http://nullcon.net
The Proposed Solution
McEliece Encryption system (1978)
219 bit Public key
+ binary Goppa codes
Impermeable to
Shor’s algorithm
nullcon Goa 2010 http://nullcon.net
Erm……
The McEliece Encryption system has already been cracked!
TU/e took 2 weeks
and a cluster of
100 systems to
achieve this!
nullcon Goa 2010 http://nullcon.net
The Actual Solution
Stop thinking mathematically
Think Physics!!
Physicists are the true answer to the next generation cryptography
One example is the principle of entanglement
nullcon Goa 2010 http://nullcon.net
Entanglementalism
When pairs of particles are generated by the decay of other particles, naturally or through induced collision, these pairs may be termed "entangled", in that such pairs often necessarily have linked and opposite qualities such as spin or charge.
nullcon Goa 2010 http://nullcon.net
Back to teh Kitteh!!
nullcon Goa 2010 http://nullcon.net
Man in The Middle
nullcon Goa 2010 http://nullcon.net
Quantum Solution
•Encryption +Authentication =SecurityCarter-Wegman Method
nullcon Goa 2010 http://nullcon.net
Why aren’t we freaking out?
Quantum computing is still in its nascent stage
In 2000, a quantum computer generated and used 7 qubits to factorise 15 =5*3
Noise Reduction is very difficult!
The cost is amazingly high!
nullcon Goa 2010 http://nullcon.net
Disclaimer
No kittehs, quantum or otherwise, were harmed in the making of this
presentation!!
nullcon Goa 2010 http://nullcon.net
/*Questions//Comments*/
No Theoretical Physics Plizz!!
Contact: lifeofnavin@gmail.com
Twitter: @NavinPai