Detecting Majorana fermions by nonlocal entanglement between quantum dots

Abstract

Nonlocal entanglement between two quantum dots can be generated through Majorana fermions. The two Majorana fermions at the ends of an one-dimensional topological superconductor form a nonlocal fermion level, coupling to the occupation states of two quantum dots put close to the two ends, and the entire system will come into an entangled state. After introducing a charging energy by a capacitor, entanglement of the entire system can manifest itself through the nonlocal entanglement between the two quantum dots. That is, when measuring the electron occupations of the quantum dots, the measurement result of one quantum dot will influence the measurement result of the other quantum dot. This nonlocal entanglement between the two quantum dots is a strong evidence of the nonlocal nature of the fermion level constructed by two Majorana fermions.

4 pages, 4 figures

References in corpus (7)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Search for Majorana fermions in multiband semiconducting nanowires
• Interface Between Topological and Superconducting Qubits

Cited by in corpus (17)

• Detection of a Majorana-fermion zero mode by a T-shaped quantum-dot structure
• Interplay between Kondo and Majorana interactions in quantum dots
• Current noise cross correlation mediated by Majorana bound states
• Fractional Josephson Effect in Number-Conserving Systems
• Kondo physics from quasiparticle poisoning in Majorana devices
• Chiral Majorana fermion modes regulated by a scanning tunneling microscope tip
• Enhanced current noise correlations in a Coulomb-Majorana device
• Majorana Entanglement Bridge
• Quantum transport through a quantum dot side-coupled to a Majorana bound state pair in the presence of electron-phonon interaction
• Manipulating the Majorana Qubit with the Landau-Zener-Stückelberg Interference
• Tunable crossed Andreev reflection in a heterostructure consisting of ferromagnets, normal metal and superconductors
• Non-Kondo many-body physics in a Majorana-based Kondo type system
• Teleportation-induced entanglement of two nanomechanical oscillators coupled to a topological superconductor
• SPT 2-Channel Kondo Model in the Structure of Normal Metal/Quantum Dot/DIII-class Topological Superconductor
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Study on the tunneling spectroscopy of $N-pS$ junction and $N-hS$ junction
• Entanglement dynamics in minimal Kitaev chains