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Continuous-variable fault-tolerant quantum computation under general noise.

Takaya Matsuura1,2, Nicolas C Menicucci3, Hayata Yamasaki4,5

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Continuous-variable (CV) quantum computation now has a fault-tolerant threshold against general Markovian noise. This breakthrough utilizes the Gottesman-Kitaev-Preskill code, enabling robust quantum error correction in CV systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Continuous-variable (CV) quantum error correction offers flexibility and noise resistance.
  • Current fault tolerance theory in CV systems is limited, restricting correctable noise models.

Purpose of the Study:

  • To establish a general strategy for translating CV system noise into logical qubit noise.
  • To demonstrate a fault-tolerant threshold for CV quantum computation against general Markovian noise.

Main Methods:

  • Utilized the Gottesman-Kitaev-Preskill code to translate CV noise into logical qubit noise.
  • Introduced a novel noise parameterization to analyze noise strength bounds.
  • Applied the threshold theorem for concatenated codes against Markovian noise.

Main Results:

  • Markovian noise in CV systems translates to Markovian noise in logical qubits via the Gottesman-Kitaev-Preskill code.
  • An upper bound on the resulting logical noise strength was analyzed.
  • A fault-tolerant threshold against general Markovian noise for CV quantum computation was established.

Conclusions:

  • The study closes a critical gap in CV quantum computation theory.
  • Achieving fault tolerance in CV systems requires careful management of quantum state energy.