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Selecting a two-dimensional subspace spanned by <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mi>m<\/mml:mi><mml:mo>=<\/mml:mo><mml:mo>&amp;#x00B1;<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:math>, 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.<\/jats:p>","DOI":"10.22331\/q-2023-07-11-1050","type":"journal-article","created":{"date-parts":[[2023,7,11]],"date-time":"2023-07-11T09:04:11Z","timestamp":1689066251000},"page":"1050","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":4,"title":["A quantum logic gate for free electrons"],"prefix":"10.22331","volume":"7","author":[{"given":"Stefan","family":"L\u00f6ffler","sequence":"first","affiliation":[{"name":"University Service Centre for Transmission Electron Microscopy, TU Wien, Wiedner Hauptstra\u00dfe 8-10\/E057-02, 1040 Wien, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Schachinger","sequence":"additional","affiliation":[{"name":"University Service Centre for Transmission Electron Microscopy, TU Wien, Wiedner Hauptstra\u00dfe 8-10\/E057-02, 1040 Wien, Austria"},{"name":"Institute of Solid State Physics, TU Wien, Wiedner Hauptstra\u00dfe 8-10\/E138-03, 1040 Wien, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Hartel","sequence":"additional","affiliation":[{"name":"CEOS Corrected Electron Optical Systems GmbH, Englerstra\u00dfe 28, 69126 Heidelberg, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peng-Han","family":"Lu","sequence":"additional","affiliation":[{"name":"Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons (ER-C) and Peter Gr\u00fcnberg Institute, Forschungszentrum J\u00fclich, 52425 J\u00fclich, Germany"},{"name":"RWTH Aachen University, Ahornstra\u00dfe 55, 52074 Aachen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rafal E.","family":"Dunin-Borkowski","sequence":"additional","affiliation":[{"name":"Ernst Ruska-Centre for Microscopy and Spectroscopy with Electrons (ER-C) and Peter Gr\u00fcnberg Institute, Forschungszentrum J\u00fclich, 52425 J\u00fclich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Martin","family":"Obermair","sequence":"additional","affiliation":[{"name":"Laboratorium f\u00fcr Elektronenmikroskopie (LEM), Karlsruher Institut f\u00fcr Technologie (KIT), Engesserstra\u00dfe 7, 76131 Karlsruhe, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manuel","family":"Dries","sequence":"additional","affiliation":[{"name":"Laboratorium f\u00fcr Elektronenmikroskopie (LEM), Karlsruher Institut f\u00fcr Technologie (KIT), Engesserstra\u00dfe 7, 76131 Karlsruhe, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dagmar","family":"Gerthsen","sequence":"additional","affiliation":[{"name":"Laboratorium f\u00fcr Elektronenmikroskopie (LEM), Karlsruher Institut f\u00fcr Technologie (KIT), Engesserstra\u00dfe 7, 76131 Karlsruhe, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Schattschneider","sequence":"additional","affiliation":[{"name":"University Service Centre for Transmission Electron Microscopy, TU Wien, Wiedner Hauptstra\u00dfe 8-10\/E057-02, 1040 Wien, Austria"},{"name":"Institute of Solid State Physics, TU Wien, Wiedner Hauptstra\u00dfe 8-10\/E138-03, 1040 Wien, Austria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2023,7,11]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"E. 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