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 ?=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 ? which carries an additional SU(2)-charge. Read-out is accomplished by ?-particle interferometry.

Abstract: Experiments suggest that the mathematically weakest non-abelian TQFT may be physically the most robust. Such TQFT's—the v=5/2 FQHE state in particular—have discrete braid group representations, so one cannot build a universal quantum computer from these alone. Time tilted interferometry provides an extension of the computational power (to universal) within the context of topological protection. A known set of universal gates has been realized by topologically protected methods using “time-tilted interferometry” as an adjunct to the more familiar method of braiding quasi-particles. The method is “time-tilted interferometry by quasi-particles.” The system is its use to construct the gates {g1, g2, g3}.

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 ?=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 ? which carries an additional SU(2)-charge. Read-out is accomplished by ?-particle interferometry.

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 ?= 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 ? which carries an additional SU(2)-charge. Read-out is accomplished by ?-particle interferometry.

Abstract: Experiments suggest that the mathematically weakest non-abelian TQFT may be physically the most robust. Such TQFT's—the ?=5/2 FQHE state in particular—have discrete braid group representations, so one cannot build a universal quantum computer from these alone. Time tilted interferometry provides an extension of the computational power (to universal) within the context of topological protection. A known set of universal gates has been realized by topologically protected methods using “time-tilted interferometry” as an adjunct to the more familiar method of braiding quasi-particles. The method is “time-tilted interferometry by quasi-particles.” The system is its use to construct the gates {g1, g2, g3}.

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 |?>. This is a NOT gate on the {|1>, |?>} qubit and is effected by braiding of an electrically charged quasi particle ? which carries an additional SU(2)-charge. Read-out is accomplished by ?-particle interferometry.