2013/07/31 by F. J. Burnell
Mathematics · Physics and Astronomy · #Condensed matter physics #Coupling (piping) #MAJORANA #Mathematics #Observable #Parity (physics) #Physics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Qubit #Spins #Superconductivity #Topological Materials and Phenomena #Topology (electrical circuits) #Transmon #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.89.224510
published as Phys. Rev. B 89, 224510 (2014)
arxiv created 2013/10/23 · openalex publication_date 2014/06/17 · arxiv updated 2014/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We propose a method to detect a signature of non-Abelian statistics in a one-dimensional (1D) superconducting wire by tuning the effective coupling between a pair of Majorana particles. Our experiment requires a single wire with two segments in the topological superconducting phase and a total of four Majorana particles. We show that an appropriately timed ``pulse'' in the coupling between the two middle Majoranas leads to a coherent rotation of the two qubits associated with the pairs of Majoranas in the two topological superconducting segments, in much the same way that an appropriate-length pulse of a transverse magnetic field can be used to rotate spins in nuclear magnetic resonance. This can be exploited both to probe the correlations of the Majoranas and to manipulate the Majorana qubits in these 1D wires. We discuss the experimental requirements for such a coherent rotation to be observable when the wire system is coupled to a fermionic bath.