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Braiding and All Quantum Operations with Majorana Modes in 1D.

Viktoriia Kornich1, Xiaoli Huang1, Evgeny Repin1

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This study introduces a novel method for quantum operations using Majorana modes. It utilizes resonant manipulation and excited state detection for braiding and other essential quantum computations.

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Area of Science:

  • Topological Quantum Computing
  • Condensed Matter Physics

Background:

  • Majorana modes are exotic quasiparticles with potential for fault-tolerant quantum computing.
  • Previous proposals for manipulating Majorana modes have limitations.

Purpose of the Study:

  • To propose a new scheme for performing braiding and unitary operations with Majorana modes.
  • To enable initialization and read-out using excited state detection.

Main Methods:

  • Solely based on resonant manipulation involving the first excited state.
  • Utilizes the population of the excited state for detection.

Main Results:

  • Demonstrates a feasible scheme for braiding and unitary operations with Majorana modes.
  • Provides an elaborated illustration with a concrete device.

Conclusions:

  • The proposed scheme offers a new pathway for topological quantum computing.
  • Resonant manipulation and excited state detection are effective for Majorana mode operations.