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Title: The hybrid topological longitudinal transmon qubit

Abstract

We introduce a new hybrid qubit consisting of a Majorana qubit interacting with a transmon longitudinally coupled to a resonator. To do so, we equip the longitudinal transmon qubit with topological quasiparticles, supported by an array of heterostructure nanowires, and derive charge- and phase-based interactions between the Majorana qubit and the resonator and transmon degrees of freedom. Inspecting the charge coupling, we demonstrate that the Majorana self-charging can be eliminated by a judicious choice of charge offset, thereby maintaining the Majorana degeneracy regardless of the quasiparticles spatial arrangement and parity configuration. We perform analytic and numerical calculations to derive the effective qubit-qubit interaction elements and discuss their potential utility for state readout and quantum error correction. Further, we find that select interactions depend strongly on the overall superconducting parity, which may provide a direct mechanism to characterize deleterious quasiparticle poisoning processes.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Div.
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1783037
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Materials for Quantum Technology
Additional Journal Information:
Journal Volume: 1; Journal Issue: 2; Journal ID: ISSN 2633-4356
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; hybrid qubit; Majorana; transmon

Citation Formats

Dinerstein, Alec, Gorham, Caroline S., and Dumitrescu, Eugene F. The hybrid topological longitudinal transmon qubit. United States: N. p., 2021. Web. doi:10.1088/2633-4356/abfbc9.
Dinerstein, Alec, Gorham, Caroline S., & Dumitrescu, Eugene F. The hybrid topological longitudinal transmon qubit. United States. https://doi.org/10.1088/2633-4356/abfbc9
Dinerstein, Alec, Gorham, Caroline S., and Dumitrescu, Eugene F. Fri . "The hybrid topological longitudinal transmon qubit". United States. https://doi.org/10.1088/2633-4356/abfbc9. https://www.osti.gov/servlets/purl/1783037.
@article{osti_1783037,
title = {The hybrid topological longitudinal transmon qubit},
author = {Dinerstein, Alec and Gorham, Caroline S. and Dumitrescu, Eugene F.},
abstractNote = {We introduce a new hybrid qubit consisting of a Majorana qubit interacting with a transmon longitudinally coupled to a resonator. To do so, we equip the longitudinal transmon qubit with topological quasiparticles, supported by an array of heterostructure nanowires, and derive charge- and phase-based interactions between the Majorana qubit and the resonator and transmon degrees of freedom. Inspecting the charge coupling, we demonstrate that the Majorana self-charging can be eliminated by a judicious choice of charge offset, thereby maintaining the Majorana degeneracy regardless of the quasiparticles spatial arrangement and parity configuration. We perform analytic and numerical calculations to derive the effective qubit-qubit interaction elements and discuss their potential utility for state readout and quantum error correction. Further, we find that select interactions depend strongly on the overall superconducting parity, which may provide a direct mechanism to characterize deleterious quasiparticle poisoning processes.},
doi = {10.1088/2633-4356/abfbc9},
journal = {Materials for Quantum Technology},
number = 2,
volume = 1,
place = {United States},
year = {Fri May 28 00:00:00 EDT 2021},
month = {Fri May 28 00:00:00 EDT 2021}
}

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