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Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding.

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Summary
This summary is machine-generated.

We introduce a new measure for quantum magic, a key resource for fault-tolerant quantum computers. This method uses bosonic codes and Wigner negativity, extending analysis to 12-qubit systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • Quantum resource theories provide a framework for quantifying quantum phenomena.
  • Magic is a crucial resource for fault-tolerant quantum computation.

Purpose of the Study:

  • To define a novel resource measure for quantum magic.
  • To utilize bosonic codes and Wigner negativity for magic quantification.

Main Methods:

  • Formulation based on bosonic codes, specifically the Gottesman-Kitaev-Preskill code.
  • Application of the resource theory for Wigner negativity.
  • Development of an analytical expression for the magic measure.

Main Results:

  • A new resource measure for quantum magic is defined.
  • The method is applicable to continuous-variable quantum computation.
  • The analytical expression allows analysis of systems up to 12 qubits.

Conclusions:

  • The developed magic measure offers a scalable approach for quantifying quantum magic.
  • This framework facilitates finding resource lower bounds for state conversion and gate synthesis.
  • The study extends previous analyses limited to smaller quantum systems.