A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
arXiv:1406.5568 · doi:10.1088/1367-2630/17/1/013017
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 , because of the breaking of gauge invariance induced by superconducting proximity.
7 pages, 6 figures
References in corpus (11)
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
- Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
- Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
- The insulator/Chern-insulator transition in the Haldane model
- Transition from fractional to Majorana fermions in Rashba nanowires
- Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
- Interface Between Topological and Superconducting Qubits
- Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling