Work

Majorana-based quantum computing in nanowire devices

Year: 2020

Type: article

Abstract: The boundary of one-dimensional topological superconductors might lead to the appearance of Majorana zero modes, whose nontrivial exchange statistics can be used for quantum computing. In branched nanowire networks, one can exchange Majorana modes by time dependently tuning topologically nontrivial parameter regions. In this paper, we simulate the exchange of four Majorana modes in T-shaped junctions made out of $p$-wave superconducting Rashba wires. We derive concrete experimental predictions for (quasi-)adiabatic braiding times and determine geometric conditions for successful Majorana exchange processes. Moreover, we prove that, in the adiabatic limit, the gating time needs to be smaller than the inverse of the squared superconducting order parameter and scales linearly with the gating potential. Furthermore, we show how to circumvent the formation of additional Majorana modes in branched nanowire systems, arising at wire intersection points of narrow junctions. Finally, we propose a multiqubit setup, allowing for universal quantum computing.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.102.125407

Authors: C. Tutschku, R. W. Reinthaler, C. Lei, A. H. MacDonald, E. M. Hankiewicz

Institutions: University of Würzburg, Complexity, Topology and Dynamics in Quantum Matter, University of Science and Technology of China, The University of Texas at Austin

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Deutsche Forschungsgemeinschaft