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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a027de96-5f44-4e38-b7cb-3e9b6b9b2e20
- author
- Seoane Souto, Ruben
LU
; Flensberg, Karsten
and Leijnse, Martin
LU
- organization
- publishing date
- 2020
- 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
- 2023-11-20 00:09:00
@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}},
}