Chiral Majorana Interference as a Source of Quantum Entanglement

Abstract

Interferometry is a powerful tool for entanglement production and detection in multiterminal mesoscopic systems. Here we propose a setup to produce, manipulate and detect entanglement in the electron-hole degree of freedom by exploiting Andreev reflection on chiral one-dimensional channels via interferometry. We study the best possible case in which two-particle interferometry produces superpositions of maximally entangled states. This is achieved by mixing chiral Dirac channels through chiral Majorana modes. We show that it is possible to extract entanglement witnesses through current cross-correlation measurements.

5 pages, 1 figure

References in corpus (7)

• Electrically detected interferometry of Majorana fermions in a topological insulator
• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Quantum Hall effect in graphene with superconducting electrodes
• Lower bound for electron spin entanglement from beamsplitter current correlations
• Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
• Scattering theory of chiral Majorana fermion interferometry
• Characterizing electron entanglement in multiterminal mesoscopic conductors

Cited by in corpus (6)

• Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
• Chiral Superconductivity in Thin Films of doped Bi${}_2$Se${}_3$
• Time-resolved electrical detection of chiral edge vortex braiding
• Shot noise distinguishes Majorana fermions from vortices injected in the edge mode of a chiral p-wave superconductor
• Entanglement of Nambu Spinors and Bell Inequality Test Without Beam Splitters
• Surface chiral superconductivity in odd-parity nematic superconductors with magnetic impurities