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Topological Quantum Infidelity

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.