Qubit rotation in QHE

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 responsi...

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Bibliographic Details
Published in:arXiv.org 2008-03
Main Author: Banerjee, Dipti
Format: Article
Language:English
Subjects:
Electrons
Quantum entanglement
Quantum Hall effect
Quantum mechanics
Quantum theory
Qubits (quantum computing)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0803.3745