Abstract – “Topological Quantum Computing” – Much more than Moore’s Law – Hugo de Garis

Prof. Dr. Hugo de Garis

Abstract -Topological Quantum Computing (TQC)

Quantum computers are 2expN times more powerful than classical computers (where N is the number of (qu)bits in the quantum register.) Once they become scalable and robust, our century’s science and technology will never be the same, because quantum computers will be able to simulate nature, which is quantum based. Today’s quantum computers, have N = 8 or so, which is useless. The biggest problem is the enormous fragility of the qubits. For example, if you store a bit of information on the spin of an electron, then the slightest interaction of that electron with a local particle or field will disturb it and destroy the information. Topological quantum computing introduces a new idea by suggesting that qubits can be stored using topological states of matter, which is a hot research topic in “condensed matter physics” nowadays. There is a phenomenon called the “fractional quantum Hall effect”, which is explained theoretically using topological quantum fields which allow information to be stored topologically, and hence robustly, allowing quantum computers to scale up. A race is on to find so called “anyons” which have these properties. Anyon chips have been proposed that would compute quantum mechanically using anyons. Nobel Prizes would then be won.

The teaching of TQC in computer science departments will mean that CS will become much more math and physics based, revolutionizing the subject, e.g. see my article “Topological Quantum Computing ” The “TQC Shock Wave”, and Its Impact on University Computer Science Teaching”