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Efficient Quantum Algorithm for Post Quantum Cryptography.

Aswini Kumar Mallick1, Puspak Pain2, Kunal Das3

  • 1Department of Electronics, Acharya Prafulla Chandra College, Kolkata, India.

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|December 1, 2025
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Summary
This summary is machine-generated.

This study introduces a novel post-quantum cryptography algorithm using quantum multiplication and a quantum random number generator (QRNG). The quantum Fourier transform (QFT) approach enhances secure quantum communication systems.

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Area of Science:

  • Quantum Computing
  • Cryptography
  • Information Security

Background:

  • Quantum computing poses a significant threat to current cryptographic standards and digital security.
  • Quantum cryptography offers potential solutions by leveraging quantum mechanics for secure communication.
  • Developing post-quantum cryptographic algorithms is crucial for future digital infrastructure.

Purpose of the Study:

  • To implement a post-quantum cryptographic algorithm using quantum multiplication and a quantum random number generator (QRNG).
  • To establish a secure quantum communication system utilizing a code-based cryptographic approach with Quantum Fourier Transformation (QFT).
  • To demonstrate the encryption and decryption of classical data within a quantum framework.

Main Methods:

  • Integration of large-number quantum multiplication with a QRNG for encryption.
  • Application of Quantum Fourier Transformation (QFT) within a quantum circuit for key generation.
  • Development of a quantum communication channel for transmitting encrypted data.
  • Implementation of quantum division for decryption at the receiver end.

Main Results:

  • Successful encryption of classical data using QRNG and quantum multiplication.
  • Transmission of encrypted quantum data over a quantum channel.
  • Decryption of data using a quantum divider.
  • IBM Qiskit simulations indicate robustness and reliability, especially for large qubit quantum devices.

Conclusions:

  • The proposed quantum proof algorithm demonstrates significant robustness and reliability for post-quantum cryptography.
  • The research provides a valuable foundation for future advancements in quantum cryptography and secure communication.
  • This work paves the way for practical applications of quantum computing in securing digital systems.