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Observing and braiding topological Majorana modes on programmable quantum simulators.

Nikhil Harle1,2, Oles Shtanko3, Ramis Movassagh4,5

  • 1Department of Physics, Yale University, New Haven, CT, 06520, USA.

Nature Communications
|April 21, 2023
PubMed
Summary
This summary is machine-generated.

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Researchers demonstrated topological Majorana modes on quantum hardware for the first time. These robust quantum states are key for fault-tolerant topological quantum computing, paving the way for future advancements.

Area of Science:

  • Quantum Computing
  • Condensed Matter Physics

Background:

  • Electrons, though elementary, can exhibit fractional behavior in collective excitations.
  • Topological Majorana modes offer inherent stability for robust quantum information storage.
  • These modes are fundamental to error-resilient topological quantum computing but have been difficult to demonstrate.

Purpose of the Study:

  • To experimentally verify and manipulate topological Majorana modes using quantum simulation.
  • To distinguish Majorana modes from trivial modes in a controlled quantum system.
  • To implement and test a braiding technique for simulating topological quantum computing operations.

Main Methods:

  • Utilized a superconducting quantum processor as a quantum simulator.
  • Simulated fermions on a 1D lattice with a periodic drive to create Majorana modes.

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  • Employed a non-adiabatic technique to perform braiding operations.

    • Main Results:

    • Successfully identified and localized topological Majorana modes at the edges of the simulated lattice.
    • Distinguished Majorana modes from trivial modes.
    • Experimental braiding statistics confirmed the predicted behavior for topological quantum computing.

    Conclusions:

    • Demonstrated the verifiable identification and braiding of topological Majorana modes on quantum hardware.
    • The proposed non-adiabatic technique is effective for simulating braiding operations.
    • This work advances the study of topological matter and accelerates quantum science discovery through accessible cloud quantum simulations.