Quantum non-locality in symmetry protected topological phases of matter

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• Alessandro Romito (Lancaster)
• Thursday 23 June 2016, 13:45-15:00
• Theory Library.

If you have a question about this talk, please contact Mike Gunn.

Topological superconductors can exist in a symmetry protected topological phase hosting Majorana anyons. These exotic excitations are of interest for their potential application as building blocks of a fault-tolerant topological quantum computers since information can be encoded non-locally in the occupation of pair of spatially separated Majorana bound-states. Signatures compatible with Majorana end-states have been reported in local conductance measurements in nanostructures. However, the non-local character of pairs of Majorana end-states cannot be directly detected in transport measurements, and few alternative proposal rely on extra ingredients e.g. charging energy.

Here we present a measurement scheme to detect genuine quantum correlation, i.e. entanglement, in a generic topological superconductor structure hosting six Majorana end-states. We show that in such a system, for any given low-energy state, one can design two spatially separable detectors whose signals will violate Bell-like inequalities. The result is uniquely associated to the presence of Majorana end-states and it is not a generic property of two-particle system. We discuss a concrete weak-measurement based protocol to confirm our prediction in realistic experimental architectures.

This talk is part of the Theoretical Physics Seminars series.

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