A quantum logic gate for free electrons

The topological charge $m$ of vortex electrons spans an infinite-dimensional Hilbert space. Selecting a two-dimensional subspace spanned by $m=\pm 1$, a beam electron in a transmission electron microscope (TEM) can be considered as a quantum bit (qubit) freely propagating in the column. A combinatio...

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Main Authors: Stefan Löffler, Thomas Schachinger, Peter Hartel, Peng-Han Lu, Rafal E. Dunin-Borkowski, Martin Obermair, Manuel Dries, Dagmar Gerthsen, Peter Schattschneider
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2023-07-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2023-07-11-1050/pdf/
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author Stefan Löffler
Thomas Schachinger
Peter Hartel
Peng-Han Lu
Rafal E. Dunin-Borkowski
Martin Obermair
Manuel Dries
Dagmar Gerthsen
Peter Schattschneider
author_facet Stefan Löffler
Thomas Schachinger
Peter Hartel
Peng-Han Lu
Rafal E. Dunin-Borkowski
Martin Obermair
Manuel Dries
Dagmar Gerthsen
Peter Schattschneider
author_sort Stefan Löffler
collection DOAJ
description The topological charge $m$ of vortex electrons spans an infinite-dimensional Hilbert space. Selecting a two-dimensional subspace spanned by $m=\pm 1$, a beam electron in a transmission electron microscope (TEM) can be considered as a quantum bit (qubit) freely propagating in the column. A combination of electron optical quadrupole lenses can serve as a universal device to manipulate such qubits at the experimenter's discretion. We set up a TEM probe forming lens system as a quantum gate and demonstrate its action numerically and experimentally. High-end TEMs with aberration correctors are a promising platform for such experiments, opening the way to study quantum logic gates in the electron microscope.
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publisher Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
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spelling doaj.art-fb0ea0cafe6a48268c6ffe91ecb2dcbd2023-07-11T09:04:07ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-07-017105010.22331/q-2023-07-11-105010.22331/q-2023-07-11-1050A quantum logic gate for free electronsStefan LöfflerThomas SchachingerPeter HartelPeng-Han LuRafal E. Dunin-BorkowskiMartin ObermairManuel DriesDagmar GerthsenPeter SchattschneiderThe topological charge $m$ of vortex electrons spans an infinite-dimensional Hilbert space. Selecting a two-dimensional subspace spanned by $m=\pm 1$, a beam electron in a transmission electron microscope (TEM) can be considered as a quantum bit (qubit) freely propagating in the column. A combination of electron optical quadrupole lenses can serve as a universal device to manipulate such qubits at the experimenter's discretion. We set up a TEM probe forming lens system as a quantum gate and demonstrate its action numerically and experimentally. High-end TEMs with aberration correctors are a promising platform for such experiments, opening the way to study quantum logic gates in the electron microscope.https://quantum-journal.org/papers/q-2023-07-11-1050/pdf/
spellingShingle Stefan Löffler
Thomas Schachinger
Peter Hartel
Peng-Han Lu
Rafal E. Dunin-Borkowski
Martin Obermair
Manuel Dries
Dagmar Gerthsen
Peter Schattschneider
A quantum logic gate for free electrons
Quantum
title A quantum logic gate for free electrons
title_full A quantum logic gate for free electrons
title_fullStr A quantum logic gate for free electrons
title_full_unstemmed A quantum logic gate for free electrons
title_short A quantum logic gate for free electrons
title_sort quantum logic gate for free electrons
url https://quantum-journal.org/papers/q-2023-07-11-1050/pdf/
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