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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C257S011000, C257S009000, C257SE43002, C257SE43007, C338S03200R

Reexamination Certificate

active

11544492

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 ν=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 |∈>. This is a NOT gate on the {|1>, |∈>} qubit and is effected by braiding of an electrically charged quasi particle a 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/cond-mat/0412343.
Freedman, M.H. et al., “A Modular Functor which is Universal for Quantum Computation”,Commun. Math. Phys., 2002, 227, 605-622.
Goldman, V.J. et al., “Resonant tunneling in the Quantum Hall Regime: Measurement of Fractional Charge”,Science, 1995, 267, 1010-1012.
Greiter, M. et al., “Paired Hall State at Half Filling”,Physical Review Letters, 1991, 66(24), 3205-3208.
Moore, G. et al., “Nonabelions in the Fractional Quantum Hall Effect”,Nuclear Physics, 1991, B360, 362-396.
Nayak, C. et al., “2n-quasihole States Realize 2n-1-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States”,Nuclear Physics, 1996, B479, 529-553.

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