Braiding Majorana Zero Mode in An Electrically Controllable Way

Abstract

To realize the braiding operations of Majorana zero mode in the vortex cores of a topological superconductor (TSC), a novel approach is proposed in this letter to replace the common tip (or tip-like) method. Instead of on top of the TSC thin film, arrays of electrically controllable pining centers are built beneath the film, hence detecting can proceed along with braiding. It does not only increase the braiding rate, but also enables the braiding to be performed in an electrically controllable way and to be integrated into large scale. Our work paves the way towards large-scale topological quantum computation.

arXiv comment5 pages, 2 figures

References in corpus (30)

• Quantum Computing in the NISQ era and beyond
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Evidence for Majorana bound state in an iron-based superconductor
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Milestones toward Majorana-based quantum computing
• Multifunctional Antiferromagnetic Materials with Giant Piezomagnetism and Noncollinear Spin Current
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Mechanics of Individual, Isolated Vortices in a Cuprate Superconductor
• Realization of giant magnetoelectricity in helimagnets
• Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
• Tunneling of anyonic Majorana excitations in topological superconductors
• Controlled Manipulation of Individual Vortices in a Superconductor
• Optical Manipulation of Single Flux Quanta
• Behavior of vortices near twin boundaries in underdoped $Ba(F{e}_{1-x}C{o}_x{)}_{2}A{s}_2$
• Quantized conductance of Majorana zero mode in the vortex of the topological superconductor (Li0.84Fe0.16)OHFeSe
• Non-volatile voltage control of magnetization and magnetic domain walls in magnetostrictive epitaxial thin films
• Mechanical control of individual superconducting vortices
• Nanoscale assembly of superconducting vortices with scanning tunnelling microscope tip
• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• Vortex Majorana braiding in a finite time
• Topologically protected heat pumping from braiding Majorana zero modes

Cited by in corpus (3)

• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Dynamical simulation of the injection of vortices into a Majorana edge mode
• Scheme for braiding Majorana zero modes in vortices using an STT-matrix