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An integrated optical hardware for realization of quantum error correction operators.

S Armaghani1, A Rostami2,3

  • 1Photonics and Nanocrystal Research Lab. (PNRL), Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, 5166614761, Iran.

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Summary

This study demonstrates a new fault-tolerant encoding circuit for quantum computing using nonlinear optics. The optical integrated circuit achieves high fidelity, crucial for robust quantum error correction.

Keywords:
Emitted modesError correction algorithmFidelityNonlinearityOptical integrated circuitQuantum computingQubitsSteane code

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Area of Science:

  • Quantum Information Science
  • Integrated Optics
  • Nonlinear Optics

Background:

  • Quantum computing and communication systems require efficient error correction due to inherent challenges like the no-cloning theorem and measurement-induced errors.
  • Error-correction codes and fault-tolerant architectures are critical for overcoming these limitations and enabling reliable quantum information processing.

Purpose of the Study:

  • To implement fault-tolerant encoding circuits for quantum error correction within optical integrated circuits.
  • To utilize nonlinear optical effects for creating essential quantum logic gates, specifically two C-NOT structures.

Main Methods:

  • A Mach-Zehnder interferometer structure was designed using silicon nitride (Si3N4) and a nonlinear material (PbS nanocrystal) with a nonlinear coefficient of -3.5 × 10^-15 m^2/W.
  • The structure was operated with 1.55 μm wavelength waves, where propagated optical modes function as qubits.
  • Specific input power levels were used: 25 μW/100 nm^2 for the main input and 15 μW/100 nm^2 for secondary inputs to facilitate qubit interactions.

Main Results:

  • The implemented fault-tolerant encoding circuit, based on the Steane code, successfully utilized nonlinear optics for C-NOT gate operations.
  • The system demonstrated the capability for entanglement and error detection among the photonic qubits.
  • A high fidelity of greater than 0.89 was achieved, which is a critical benchmark for effective quantum error correction.

Conclusions:

  • The proposed optical integrated circuit design offers a viable platform for implementing fault-tolerant quantum error correction.
  • The use of nonlinear optics in a Mach-Zehnder structure provides a promising pathway for scalable quantum information processing.
  • The achieved fidelity supports the potential of this approach for future photon-based quantum computers and communication systems.