Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-03-26
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages
Scientific paper
10.1088/0031-8949/77/06/065701
In Quantum Hall effect the ground state wave function at $\nu=1$ is the building block of all other states at different filling factors. It is developed by the entanglement of two spinors forming a singlet state. The inherent frustration visualized by the non-abelian matrix Berry phase is responsible for the quantum pumped charge to flow in the Hall surface. The Physics behind the Quantum Hall states is studied here from the view point of topological quantum computation.
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