Timescales for charge transfer based operations on Majorana systems
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Timescales for charge transfer based operations on Majorana systems. / Seoane Souto, R.; Flensberg, K.; Leijnse, M.
In: Physical Review B, Vol. 101, No. 8, 081407, 15.02.2020.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Timescales for charge transfer based operations on Majorana systems
AU - Seoane Souto, R.
AU - Flensberg, K.
AU - Leijnse, M.
PY - 2020/2/15
Y1 - 2020/2/15
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevB.101.081407
DO - 10.1103/PhysRevB.101.081407
M3 - Journal article
AN - SCOPUS:85079782251
VL - 101
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 8
M1 - 081407
ER -
ID: 241832747