Topological Quantum Computer

Dear Colleagues,

Quantum computers have been formulated in terms of systems that have controlled/designed unitary transformations, methods for preparing initial quantum states, and methods for measuring the results of applying these unitary transformations to the initial states. The statistics of the measurement results can then be used to find new computational information.

The crux for successful quantum computing, on the mathematical side, is in the design of algorithms based on this method. The crux for successful quantum computing, on the physical side, is in the design of systems of control for the production of unitary transformations and the production of states that are not affected by decoherence (uncontrolled influence of the environment on the quantum states produced by the computer). Topological quantum computing is one of the most promising designs for making a quantum computer that is resistant to decoherence. In a topological quantum computer, states of matter give rise to quantum states that depend only upon the topological type of trajectories in and configurations of the physical device. This means that such systems are fundamentally insensitive to large scale perturbations. At the present time there are a number of designs for topological quantum computers that are being explored in relation to subtle topological physical effects such as the fractional quantum Hall effect and the properties of Majorana Fermions. It is the purpose of this Special Issue to create a forum for research in topological quantum computers in all aspects of the subject, theoretical and experimental. Papers of high quality are welcome and will be carefully reviewed.

Best,

Prof. Louis H. Kauffman
Guest Editor

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