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Quantum error correction of qudits beyond break-even.

Benjamin L Brock1,2,3, Shraddha Singh4,5,6, Alec Eickbusch4,5,6,7

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Researchers experimentally demonstrated error correction for logical qutrits and ququarts using the Gottesman-Kitaev-Preskill bosonic code. This advancement in quantum error correction achieved beyond break-even performance, leveraging harmonic oscillator Hilbert space for hardware efficiency.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Large Hilbert space is crucial for quantum information processing, quantum error correction, and efficient gate/algorithm realization.
  • Quantum computing platforms are increasingly exploring qudits (d-dimensional quantum systems, d>2) beyond qubits.
  • Experimental demonstration of error correction for logical qudits has been a significant unmet challenge.

Purpose of the Study:

  • To experimentally realize an error-corrected logical qutrit (d=3) and ququart (d=4).
  • To demonstrate beyond break-even quantum error correction using a novel approach.
  • To leverage the large Hilbert space of a harmonic oscillator for hardware-efficient quantum error correction.

Main Methods:

  • Implementation of the Gottesman-Kitaev-Preskill bosonic code for qutrits and ququarts.
  • Utilization of a reinforcement learning agent for optimizing the quantum memory.
  • Experimental characterization of error correction performance and gain.

Main Results:

  • Successful experimental realization of an error-corrected logical qutrit and ququart.
  • Achieved beyond break-even error correction with gains of 1.82 ± 0.03 for qutrits and 1.87 ± 0.03 for ququarts.
  • Demonstrated the efficacy of the Gottesman-Kitaev-Preskill code and reinforcement learning optimization.

Conclusions:

  • This work represents the first experimental demonstration of error correction for logical qutrits and ququarts.
  • The findings highlight a novel method for hardware-efficient quantum error correction by utilizing harmonic oscillator Hilbert space.
  • The achieved beyond break-even performance signifies a critical step towards fault-tolerant quantum computing with qudits.