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Physics Letters A

Nonlocal entanglement and noise between spin qubits induced by Majorana bound states

Sha‐Sha Ke, Hai‐Feng Lü, Huajun Yang, Yong Guo, Huaiwu Zhang

Published Sep 26, 2014• 6 citations
Publisher
DOI
10.1016/j.physleta.2014.08.015

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Topological qubits based on non-Abelian Majorana bound states (MBSs) are protected by parity which is challenged by quasiparticle poisoning (QPP). In this work, we show how QPP affects transport through a pair of coupled MBSs weakly connected to two current leads, using an open system approach and full counting statistics. We find that the correct low-energy physics requires one to include next to leading order tunneling events in the coupling to the leads. In particular, our results show that QPP causes super-Poissonian local shot noise with a Fano factor that diverges with decreasing bias voltage, while the current and the nonlocal (cross) noise are only little affected. We explain that these features are a direct consequence of the nature of MBSs being their own antiparticle making noise measurements a viable tool to search for MBSs in the presence of QPP.
We show that a one dimensional device supporting a pair of Majorana bound states at its ends can produce remarkable Hanbury-Brown Twiss like interference effects between well separated Dirac fermions of pertinent energies. We find that the simultaneous scattering of two incoming electrons or two incoming holes from the Majorana bound states leads exclusively to an electron-hole final state. This anti-bunching in electron-hole internal pseudospin space can be detected through current-current correlations. Further, we show that, by scattering appropriate spin polarized electrons from the Majorana bound states, one can engineer a non-local entangler of electronic spins for quantum information applications. Both the above phenomena should be observable in diverse physical systems enabling to detect the presence of low energy Majorana modes.
We show that a one dimensional device supporting a pair of Majorana bound states at its ends can produce remarkable Hanbury-Brown Twiss like interference effects between well separated Dirac fermions of pertinent energies. We find that the simultaneous scattering of two incoming electrons or two incoming holes from the Majorana bound states leads exclusively to an electron-hole final state. This "anti-bunching" in electron-hole internal pseudospin space can be detected through current-current correlations. Further, we show that, by scattering appropriate spin polarized electrons from the Majorana bound states, one can engineer a non-local entangler of electronic spins for quantum information applications. Both the above phenomena should be observable in diverse physical systems enabling to detect the presence of low energy Majorana modes.