Electron interferometers based on Hall edge states (ESs) proved to be robust demonstrators of the coherent quantum dynamics of carriers. Several proposals to expose their capability to build and control quantum entanglement and to exploit them as building block for quantum computing devices has been presented. Here, we review the time-dependent numerical modeling of Hall interferometers operating at the single-carrier level at integer filling factor (FF). By defining the qubit state either as the spatial localization (at FF 1) or the Landau index (at FF 2) of a single carrier propagating in the ES, we show how a generic one-qubit rotation can be realized. By a proper design of the two-dimensional electron gas potential landscape, an entangling two-qubit gate can be implemented by exploiting Coulomb interaction, thus realizing a universal set of quantum gates. We also assess how the shape of the edge confining potential affects the visibility of the quantum transformations.

Quantum computing with quantum-Hall edge state interferometry / Bordone, Paolo; Bellentani, Laura; Bertoni, Andrea. - In: SEMICONDUCTOR SCIENCE AND TECHNOLOGY. - ISSN 1361-6641. - 34:(2019), pp. 103001-1-103001-27. [10.1088/1361-6641/ab3be6]

Quantum computing with quantum-Hall edge state interferometry

Paolo Bordone
;
Laura Bellentani;Andrea Bertoni
2019

Abstract

Electron interferometers based on Hall edge states (ESs) proved to be robust demonstrators of the coherent quantum dynamics of carriers. Several proposals to expose their capability to build and control quantum entanglement and to exploit them as building block for quantum computing devices has been presented. Here, we review the time-dependent numerical modeling of Hall interferometers operating at the single-carrier level at integer filling factor (FF). By defining the qubit state either as the spatial localization (at FF 1) or the Landau index (at FF 2) of a single carrier propagating in the ES, we show how a generic one-qubit rotation can be realized. By a proper design of the two-dimensional electron gas potential landscape, an entangling two-qubit gate can be implemented by exploiting Coulomb interaction, thus realizing a universal set of quantum gates. We also assess how the shape of the edge confining potential affects the visibility of the quantum transformations.
2019
16-set-2019
34
103001-1
103001-27
Quantum computing with quantum-Hall edge state interferometry / Bordone, Paolo; Bellentani, Laura; Bertoni, Andrea. - In: SEMICONDUCTOR SCIENCE AND TECHNOLOGY. - ISSN 1361-6641. - 34:(2019), pp. 103001-1-103001-27. [10.1088/1361-6641/ab3be6]
Bordone, Paolo; Bellentani, Laura; Bertoni, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1183539
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