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On the theory of topological computation in the lowest Landau level of QHE

We have studied the formation of Hall-qubit (LLL state) in Quantum Hall effect due to the Aharonov-Bhom oscillation of quasiparticles.The spin echo method plays the key role in the topological entanglement of qubits. The proper ratio of fluxes for maximally entangling qubits has also been pointed out. The generation of higher Quantum Hall state may be possible with the help of quantum teleportation.

preprint2011arXivOpen access
Dipti Banerjee
cond-mat.str-el
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Dipti Banerjee

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