Timescales for charge transfer based operations on Majorana systems

Seoane Souto, RubenLund University,Lunds universitet,NanoLund: Centre for Nanoscience,Annan verksamhet, LTH,Lunds Tekniska Högskola,Fasta tillståndets fysik,Fysiska institutionen,Institutioner vid LTH,Other operations, LTH,Faculty of Engineering, LTH,Solid State Physics,Department of Physics,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen (författare)

In this Rapid Communication we analyze the efficiency of operations based on transferring charge from a quantum dot (QD) to two coupled topological superconductors, which can be used for performing non-Abelian operations on Majorana bound states (MBSs). We develop a method which allows us to describe the full time evolution of the system as the QD energy is manipulated. Using a full counting statistics analysis, we set bounds to the operation timescales. The lower bound depends on the superconducting phase difference due to a partial decoupling of the different MBS parity sectors, while the upper bound is set by the tunneling of quasiparticles to the MBSs. Using realistic parameters, we find the existence of a regime where the operation can be carried out with a fidelity close to unity. Finally, we propose the use of a two-operation protocol to quantify the effect of the dephasing and accumulated dynamical phases, demonstrating their absence for certain superconducting phase differences.

Flensberg, KarstenUniversity of Copenhagen (författare)
Leijnse, MartinLund University,Lunds universitet,NanoLund: Centre for Nanoscience,Annan verksamhet, LTH,Lunds Tekniska Högskola,Fasta tillståndets fysik,Fysiska institutionen,Institutioner vid LTH,Other operations, LTH,Faculty of Engineering, LTH,Solid State Physics,Department of Physics,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen(Swepub:lu)ftf-mls (författare)
NanoLund: Centre for NanoscienceAnnan verksamhet, LTH (creator_code:org_t)

Av författaren/redakt...: Seoane Souto, Ru ...; Flensberg, Karst ...; Leijnse, Martin

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