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KAIST physicists propose a Josephson trijunction for generating and moving Majorana states

A theoretical study shows how a three-junction node in a magnetic field can create, move and fuse Majorana states, steps needed for braiding in topological qubits.

KAIST physicists propose a Josephson trijunction for generating and moving Majorana states
Photo: Mwjohnson0, Wikimedia Commons, CC BY-SA 4.0 · License: CC BY-SA 4.0

Researchers from the Department of Physics at the Korea Advanced Institute of Science and Technology (Daejeon, South Korea) described a way to manipulate mobile Majorana bound states. The authors are Kyungtae Kim, June-Young M. Lee, Hyeongseop Kim and H.-S. Sim. The paper was published in Nature Communications on 7 November 2026. nature.comNature Communicationsnature.comOpen source ↗ The proposed element is a trijunction: three Josephson junctions meeting on a topological insulator in a perpendicular magnetic field.

Majorana bound states are zero-energy localized states in topological superconductors and obey non-Abelian braiding statistics. According to the authors, manipulating mobile states is essential for braiding them and operating topological qubits. This includes on-demand generation, propagation and fusion.

Two dynamics at the trijunction centre

The superconducting phases at the trijunction centre evolve so that they cross a boundary between topological and non-topological phase domains. Depending on which boundary is crossed, the trijunction shows one of two distinct dynamics: source/sink or path.

At a source/sink boundary, two Majorana states are generated pairwise at the centre, and one of them is ejected into a Josephson junction. The reverse process can also happen: two states collide and annihilate in a pair. nature.comNature Communicationsnature.comOpen source ↗ At a path boundary, a Majorana state moves from a Josephson junction to the trijunction centre, or the other way round, without involving other Majorana states.

Fusion and braiding in a trijunction network

The authors state that these two dynamics make it possible to perform fusion and braiding of Majorana states in a network of trijunctions. They illustrate this with a double trijunction setup.

In that setup, according to the paper, non-Abelian state evolutions associated with Majorana states can be manipulated without dynamical control of the setup. They can be detected by Josephson emission spectroscopy. The work presents a scheme for such operations; the available description does not report an experimental realisation of it.

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