# Braiding quantum circuit based on the 4π Josephson effect

@article{Stenger2019BraidingQC, title={Braiding quantum circuit based on the 4$\pi$ Josephson effect}, author={John Stenger and Michael J. Hatridge and Sergey M. Frolov and David Pekker}, journal={Physical Review B}, year={2019} }

We propose a topological qubit in which braiding and readout are mediated by the $4\ensuremath{\pi}$ Majorana-Josephson effect. The braidonium device consists of three Majorana nanowires that come together to make a trijunction. In order to control the superconducting phase differences at the trijunction, the nanowires are enclosed in a ring made of a conventional superconductor. In order to perform initialization and readout, one of the nanowires is coupled to a fluxonium qubit through a…

## 10 Citations

Circulator function in a Josephson junction circuit and braiding of Majorana zero modes

- PhysicsScientific reports
- 2021

This study obtains the exact Lagrangian of the system by deriving the effective potential from the fundamental boundary conditions and shows that it can selectively choose the direction of current flowing through the branches connected at the trijunction, which performs a circulator function.

Integrating micromagnets and hybrid nanowires for topological quantum computing

- PhysicsSciPost Physics
- 2021

Majorana zero modes are expected to arise in
semiconductor-superconductor hybrid systems, with potential topological
quantum computing applications. One limitation of this approach is the
need for a…

Spectral response of Josephson junctions with low-energy quasiparticles

- PhysicsSciPost Physics
- 2019

We study nanowire-based Josephson junctions shunted by a capacitor
and take into account the presence of low-energy quasiparticle
excitations. These are treated by extending conventional models used…

Gate-Tunable Field-Compatible Fluxonium

- PhysicsPhysical Review Applied
- 2020

Circuit quantum electrodynamics, where photons are coherently coupled to artificial atoms built with superconducting circuits, has enabled the investigation and control of macroscopic…

Supercurrent interference in semiconductor nanowire Josephson junctions

- PhysicsPhysical Review B
- 2019

Semiconductor-superconductor hybrid systems provide a promising platform for hosting unpaired Majorana fermions towards the realization of fault-tolerant topological quantum computing. In this study…

One-dimensional error-correcting code for Majorana qubits

- PhysicsPhysical Review A
- 2020

Although Majorana platforms are promising avenues to realizing topological quantum computing, they are still susceptible to errors from thermal noise and other sources. We show that the error rate of…

Crystalline anisotropic topological superconductivity in planar Josephson junctions

- Physics
- 2020

We theoretically investigate the crystalline anisotropy of topological phase transitions in phase-controlled planar Josephson junctions (JJs) subject to spin-orbit coupling and in-plane magnetic…

Search for non-Abelian Majorana braiding statistics in superconductors

- Physics
- 2019

This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information…

Topological superconductivity in hybrid devices

- Physics
- 2020

Topological superconductivity can emerge from the combination of conventional superconductivity in a metal and strong spin–orbit coupling in a semiconductor when they are made into a hybrid device.…

Superconducting contact and quantum interference between two-dimensional van der Waals and three-dimensional conventional superconductors

- Physics
- 2019

Two-dimensional (2D) transition-metal dichalcogenide (TMD) superconductors have unique and desirable properties for integration with conventional superconducting circuits. These include the ability…

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