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The role of anyonic statistics stands as a cornerstone in the landscape oftopological quantum techniques. While recent years have brought forthencouraging and persuasive strides in detecting anyons, a significant facetremains unexplored, especially in view of connecting anyonic physics to quantuminformation platforms-whether and how entanglement can be generated by anyonicbraiding. Here, we demonstrate that even if the two anyonic subsystems areconnected only by electron tunneling, anyonic entanglement, manifestingfractional statistics, is generated. Specifically, we address this question forfractional quantum Hall edges bridged by a quantum point contact that allowsonly transmission of fermions (so-called Andreev-like tunneling), invoking thephysics of two-beam collisions in an anyonic Hong-Ou-Mandel collider We definean entanglement pointer-a current-noise-based function tailored to quantifyentanglement and show that it reflects the role of quasiparticle statistics. Astriking feature of our statistics-induced-entanglement pointer is its relativeresilience to entanglement stemming from electrostatic interactions between thetwo anyonic subsystems.

Fractional-statistics-induced entanglement from Andreev-like tunneling