Fractional-statistics-induced entanglement from Andreev-like tunneling

Abstract The role of anyonic statistics stands as a cornerstone in the landscape of topological quantum techniques. While recent years have brought forth encouraging and persuasive strides in detecting anyons, a significant facet remains unexplored, especially in view of connecting anyonic physics t...

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Main Authors: Gu Zhang, Pierre Glidic, Frédéric Pierre, Igor Gornyi, Yuval Gefen
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-61869-w
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author Gu Zhang
Pierre Glidic
Frédéric Pierre
Igor Gornyi
Yuval Gefen
author_facet Gu Zhang
Pierre Glidic
Frédéric Pierre
Igor Gornyi
Yuval Gefen
author_sort Gu Zhang
collection DOAJ
description Abstract The role of anyonic statistics stands as a cornerstone in the landscape of topological quantum techniques. While recent years have brought forth encouraging and persuasive strides in detecting anyons, a significant facet remains unexplored, especially in view of connecting anyonic physics to quantum information platforms—whether and how entanglement can be generated by anyonic braiding. Here, we demonstrate that even when two anyonic subsystems (represented by anyonic beams) are connected only by electron tunneling, entanglement between them, manifesting fractional statistics, is generated. To demonstrate this physics, we rely on a platform where fractional quantum Hall edges are bridged by a quantum point contact that allows only transmission of fermions (so-called Andreev-like tunneling). This invokes the physics of two-beam collisions in an anyonic Hong-Ou-Mandel collider, accompanied by a process that we dub anyon-quasihole braiding. We define an entanglement pointer—a current-noise-based function tailored to quantify entanglement associated with quasiparticle fractional statistics. Our work, which exposes, both in theory and in experiment, entanglement associated with anyonic statistics and braiding, prospectively paves the way to the exploration of entanglement induced by non-Abelian statistics.
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spelling doaj-art-01b281ff1b1944bea7160af61e17d4fe2025-08-20T03:43:27ZengNature PortfolioNature Communications2041-17232025-07-011611910.1038/s41467-025-61869-wFractional-statistics-induced entanglement from Andreev-like tunnelingGu Zhang0Pierre Glidic1Frédéric Pierre2Igor Gornyi3Yuval Gefen4National Laboratory of Solid State Microstructures, School of Physics, Jiangsu Physical Science Research Center, Nanjing UniversityUniversité Paris-Saclay, CNRS, Centre de Nanosciences et de NanotechnologiesUniversité Paris-Saclay, CNRS, Centre de Nanosciences et de NanotechnologiesInstitute for Quantum Materials and Technologies, Karlsruhe Institute of TechnologyDepartment of Condensed Matter Physics, Weizmann Institute of ScienceAbstract The role of anyonic statistics stands as a cornerstone in the landscape of topological quantum techniques. While recent years have brought forth encouraging and persuasive strides in detecting anyons, a significant facet remains unexplored, especially in view of connecting anyonic physics to quantum information platforms—whether and how entanglement can be generated by anyonic braiding. Here, we demonstrate that even when two anyonic subsystems (represented by anyonic beams) are connected only by electron tunneling, entanglement between them, manifesting fractional statistics, is generated. To demonstrate this physics, we rely on a platform where fractional quantum Hall edges are bridged by a quantum point contact that allows only transmission of fermions (so-called Andreev-like tunneling). This invokes the physics of two-beam collisions in an anyonic Hong-Ou-Mandel collider, accompanied by a process that we dub anyon-quasihole braiding. We define an entanglement pointer—a current-noise-based function tailored to quantify entanglement associated with quasiparticle fractional statistics. Our work, which exposes, both in theory and in experiment, entanglement associated with anyonic statistics and braiding, prospectively paves the way to the exploration of entanglement induced by non-Abelian statistics.https://doi.org/10.1038/s41467-025-61869-w
spellingShingle Gu Zhang
Pierre Glidic
Frédéric Pierre
Igor Gornyi
Yuval Gefen
Fractional-statistics-induced entanglement from Andreev-like tunneling
Nature Communications
title Fractional-statistics-induced entanglement from Andreev-like tunneling
title_full Fractional-statistics-induced entanglement from Andreev-like tunneling
title_fullStr Fractional-statistics-induced entanglement from Andreev-like tunneling
title_full_unstemmed Fractional-statistics-induced entanglement from Andreev-like tunneling
title_short Fractional-statistics-induced entanglement from Andreev-like tunneling
title_sort fractional statistics induced entanglement from andreev like tunneling
url https://doi.org/10.1038/s41467-025-61869-w
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