Short answer: Majorana zero modes are proposed building blocks for topological qubits that would store quantum information non-locally. Experiments on semiconductor-superconductor nanowires have reported signatures of them, but reviews say these claims remain disputed and that concrete experimental evidence of the non-Abelian behaviour needed for computing is still missing. A 2022 Nature experiment found peaks that it explains without Majorana modes. This is an open research question, not a working technology.

What the proposal is

A 2022 review in Nature Reviews Materials says the Majorana-based approach is the most recent of the main avenues for realizing quantum bits. It attempts to realize qubits that store information in a topologically protected way: the information is stored non-locally in well-separated Majorana zero modes and manipulated by exploiting their non-abelian quantum statistics. The review says realizing these qubits is experimentally challenging, requiring superconductivity, helical electrons created by spin-orbit coupling and broken time-reversal symmetry to cooperate in what it calls an uncomfortable alliance.

A 2020 experimental review on arXiv describes the Majorana zero mode as the condensed matter analog of the Majorana fermion and a building block of fault-tolerant topological quantum computing. It says Majorana modes were originally envisioned in two-dimensional p-wave superconductors, but can also be supported at the ends or domain walls of one-dimensional systems, with the Kitaev chain as the simplest toy model. One implementation geometrically similar to that model is a one-dimensional semiconductor nanowire coupled to a superconductor.

What has been observed

The 2020 review surveys signatures reported in semiconductor-superconductor hybrid devices: zero-energy conductance peaks, oscillations, quantization and interactions with extra degrees of freedom. It states that despite a series of observed signatures across a wide range of platforms, there are clearly disputes over the nontriviality of the observations. In its words, a common consensus of the field is that concrete experimental evidence of the non-Abelian Majorana zero mode is still missing, and the review analyzes why the signatures are not yet solid enough to demonstrate non-Abelian operations.

The Nature Reviews Materials article describes accumulating, though still debated, evidence that zero modes are indeed being realized, and says it highlights both progress and the challenges that remain.

A 2022 experiment that cuts against a signature

A 2022 Nature paper says multiple claims of Majorana detection, based on tunnelling or Coulomb blockade spectroscopy, remain disputed. The authors devised a protocol to do both types of measurement on the same hybrid island by adjusting its charging energy through tunable junctions. This reduces ambiguity by checking the consistency between Coulomb blockade spectroscopy and zero-bias peaks in non-blockaded transport. In InAs/Al hybrid nanowires, they observed junction-dependent, even-odd modulated, single-electron Coulomb blockade peaks without concomitant low-bias peaks in tunnelling spectroscopy. They interpret this as low-energy, longitudinally confined island states rather than overlapping Majorana modes, and say the result highlights the importance of combined measurements on the same device.

What this does not tell you

These sources do not show a working topological qubit or a demonstration of non-Abelian operations. They also do not say the approach cannot work, only that the case is not yet solid, and that individual claims have been disputed.

FAQ

What is a Majorana zero mode?

A localized state proposed as a building block for topological qubits, whose non-local storage is meant to protect quantum information.

Has a Majorana qubit been demonstrated?

The 2020 review says concrete evidence of the non-Abelian Majorana zero mode is still missing.

What signatures have been seen?

Zero-energy conductance peaks, oscillations and quantization in nanowire-superconductor devices, among others. Their interpretation is disputed.

What did the 2022 Nature paper find?

Coulomb blockade peaks without matching low-bias tunnelling peaks, which the authors explain with confined island states instead of Majorana modes.

Why is it hard?

It needs superconductivity, spin-orbit coupling and broken time-reversal symmetry to work together, per the 2022 review.

All field notes