Topological Quantum Infidelity

TL;DR

This paper demonstrates that topological quantum entanglement between anyons can be transferred or shared across different topological media, specifically between two p-wave superconductors with opposite chirality, via controlled vortex tunneling.

Contribution

It introduces a method for sharing and transferring topological quantum information between distinct topological media using vortex tunneling.

Findings

Quantum information can be shared between different topological media.

Vortices tunneling enables transfer of fermionic parity states.

Topological entanglement can be manipulated across media.

Abstract

Can topological quantum entanglement between anyons in one topological medium "stray" into a different, topologically distinct medium? In other words, can quantum information encoded non-locally in the combined state of non-Abelian anyons be shared between two distinct topological media? We consider a setup with two p-wave superconductors of opposite chirality and demonstrate that such scenario is indeed possible. The information encoded in the fermionic parity of two Majorana zero modes, originally within the same superconducting domain, can be shared between the domains or moved entirely from one domain to another provided that vortices can tunnel between them in a controlled fashion.