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Timescales for charge transfer based operations on Majorana systems

Seoane Souto, Ruben LU ; Flensberg, Karsten and Leijnse, Martin LU (2020) In Physical Review B - Condensed Matter and Materials Physics
Abstract
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... (More)
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. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B - Condensed Matter and Materials Physics
article number
081407
publisher
American Physical Society
external identifiers
  • scopus:85079782251
ISSN
1550-235X
DOI
10.1103/PhysRevB.101.081407
language
English
LU publication?
yes
id
a027de96-5f44-4e38-b7cb-3e9b6b9b2e20
date added to LUP
2020-02-25 22:16:43
date last changed
2020-03-15 06:08:27
@article{a027de96-5f44-4e38-b7cb-3e9b6b9b2e20,
  abstract     = {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.},
  author       = {Seoane Souto, Ruben and Flensberg, Karsten and Leijnse, Martin},
  issn         = {1550-235X},
  language     = {eng},
  publisher    = {American Physical Society},
  series       = {Physical Review B - Condensed Matter and Materials Physics},
  title        = {Timescales for charge transfer based operations on Majorana systems},
  url          = {http://dx.doi.org/10.1103/PhysRevB.101.081407},
  doi          = {10.1103/PhysRevB.101.081407},
  year         = {2020},
}