Vladimir Cezar


Quantum Cellular Automata


 

Abstract:
 

Quantum computers don't exist. Or better, they don't exist outside of world of  papers and labs. Quantum computation is not something that happens inside any microchip obtainable in the market today. Although some quantum phenomena do occur inside solid state components of modern computers, the result of the computation is in ultimate analysis, classical, not taking any advantages of quantum mechanics in the computation itself. All algorithms and result computations, nevertheless how sophisticated they seem,  are performed in physical devices that are implementations of a machine, a Universal Turing Machine (UTM), which is governed by laws of classical physics and, as Feynman noted, is unable to simulate quantum systems efficiently.

 

Quantum computers are able of new modes of computation in a fashion that is unfeasible to a UTM. Its very own characteristics provide elements that could achieve high parallelism in such way to compute problems classified as intractable by current computer theory.

           

In this presentation I briefly discuss Quantum Computing in general and present three models of quantum computers: Quantum Turing Machines, Quantum Circuits and Quantum Cellular Automata.