A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model

Abstract

Coupling Majorana qubits with other qubits is an absolute essential in storing, manipulating and transferring informations for topological quantum computing. We theoretically propose a manner to coupling Majorana qubits with solitons, another kind of topological impurities, which was first studied in the spinless Su-Schrieffer-Heeger (SSH) model. We presents a NOT operation on the Majorana qubit with moving the complementary soliton through heterostructure adiabatically. Based on these two topological impurities, the operation is robust against local disorder. Furthermore, we find that the soliton may carry decimal electric charge instead of fractional charge $1/2$, because of the breaking of gauge invariance induced by superconducting proximity.

arXiv comment7 pages, 6 figures

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• Simulating Z_2 topological insulators via a one-dimensional cavity optomechanical cells array
• Emergent phases in a compass chain with multisite interactions
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• The effects of dissipation on topological mechanical systems
• Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases
• Jackiw-Rebbi-type bound state carrying fractional fermion parity