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Encoding a qubit with Majorana modes in superconducting circuits.

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  • 11] Beijing Computational Science Research Center, Beijing 100084, China [2] Center for Emergent Matter Science, RIKEN, Wako-shi 351-0198, Japan.

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Researchers propose using superconducting circuits to create Majorana qubits. These exotic particles, which are their own antiparticles, offer enhanced quantum coherence compared to single superconducting qubits.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Majorana fermions are exotic particles that are their own antiparticles.
  • Superconducting circuits offer a promising platform for realizing and manipulating Majorana modes.

Purpose of the Study:

  • To propose a method for constructing Majorana qubits using superconducting circuits.
  • To demonstrate the quantum coherence advantages of Majorana qubits.
  • To propose a minimal system for braiding Majorana modes.

Main Methods:

  • Utilizing two superconducting-qubit arrays to host Majorana modes.
  • Encoding Majorana qubits using unpaired Majorana modes at the ends of a chain.
  • Representing Majorana qubits in both Majorana-fermion and spin representations.
  • Proposing a four-superconducting-qubit system to demonstrate braiding.

Main Results:

  • The proposed Majorana qubit exhibits enhanced quantum coherence compared to single superconducting qubits.
  • A four-qubit system is identified as the minimal setup for demonstrating Majorana braiding.
  • Methods for discriminating qubit states before and after braiding are presented.

Conclusions:

  • Superconducting circuits provide a viable platform for realizing Majorana qubits and exploring their properties.
  • Majorana qubits offer potential advantages in quantum coherence for quantum computing applications.
  • The proposed braiding protocol lays the groundwork for topological quantum computation using Majorana modes.