Quasi-particle interferometry for logical gates

Active solid-state devices (e.g. – transistors – solid-state diode – Thin active physical layer which is – Heterojunction

Reexamination Certificate

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C257S014000, C257S009000, C257S031000, C257S039000, C257SE27005, C257SE43003, C338S03200R

Reexamination Certificate

active

11233653

ABSTRACT:
A quantum computer can only function stably if it can execute gates with extreme accuracy. “Topological protection” is a road to such accuracies. Quasi-particle interferometry is a tool for constructing topologically protected gates. Assuming the corrections of the Moore-Read Model for v= 5/2's FQHE (Nucl. Phys. B 360, 362 (1991)) we show how to manipulate the collective state of two e/4-charge anti-dots in order to switch said collective state from one carrying trivial SU(2) charge, |1>, to one carrying a fermionic SU(2) charge |ε>. This is a NOT gate on the {|1>, |ε>} qubit and is effected by braiding of an electrically charged quasi particle σ which carries an additional SU(2)-charge. Read-out is accomplished by σ-particle interferometry.

REFERENCES:
patent: 2002/0199108 (2002-12-01), Chuang et al.
Das Sarma et al., Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State, Dec. 22, 2004, http://arXiv.org/abs/cand-mat/0412343.
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Day, Devices Based on the Fractional Quantum Hall Effect May fulfill the Promise of Quantum Computing, Oct. 2005, Physics Today.
Freedman, M.H. et al., “A Molecular Functor which is Universal for Quantum Computation”,Commun. Math. Phys., 2002, 227, 605-622.
Goldman, V.J. et al., “Resonant tunneling in the Quatum Hall Regime: Measurement of Fractional Charge”,Science, 1995, 267, 1010-1012.
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