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This study introduces a method to predict qubit errors caused by Majorana zero mode (MZM) hybridization in topological quantum computation. The research demonstrates how to control this hybridization for universal quantum computing operations.

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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Information Science

Background:

  • Topological quantum computation utilizes Majorana zero modes (MZMs) for fault tolerance.
  • Majorana wave function overlap, or hybridization, is an unavoidable issue that causes qubit errors by breaking ground state degeneracy.

Purpose of the Study:

  • To present a precise method for predicting qubit errors arising from dynamic MZM hybridization.
  • To demonstrate the utility of controlling MZM hybridization for implementing quantum gates.

Main Methods:

  • Developing a predictive model for qubit errors in dynamic hybridization scenarios involving multiple MZMs.
  • Characterizing qubit errors for a specific quantum gate (X gate).

Main Results:

  • A method to predict qubit errors caused by dynamic hybridization of four or more MZMs is presented.
  • The study illustrates the implementation of arbitrary one-qubit rotations and a two-qubit controlled variable phase gate by utilizing MZM hybridization.

Conclusions:

  • The proposed method offers a way to manage and predict errors in topological quantum computation.
  • Controlling MZM hybridization is shown to be a viable strategy for achieving universal quantum computation.