Publications in Quantum Computing

  • A.M. Grigoryan and S.S. Agaian, Quantum Image Processing in Practice: A Mathematical Toolbox, 1st Edition, p. 320, WILEY, February 5, 2025. [ISBN: 9781394265152]
  • A.M. Grigoryan, S.S. Agaian, “Quaternion-based arithmetic in quantum information processing: A Promising approach for efficient color quantum imaging [Hypercomplex Signal and Image Processing],” IEEE Signal Processing Magazine, vol. 41, no. 2, pp. 64-74, March 2024, doi: 10.1109/MSP.2023.3327627 (view in IEEE)
  • A.M. Grigoryan, S.S. Agaian, “3-Qubit circular quantum convolution computation using the Fourier transform with illustrative examples,”  Journal of Quantum Computing, vol. 6, pp. 1–14, 2024 (view in JQC)
  • A. Grigoryan, A. Gomez, S. Agaian, and K. Panetta, “Quantum edge detection and convolution using paired transform-based image representation,” Information 2025, 16, 255, p. 24. (view in Information)
  • A.M. Grigoryan, S.S. Agaian, “Introduction to multiplicative group on 2-qubits with quantum color image processing,” Quantum Information Processing, 22, 351,  p. 34,  Sep 21, 2023. doi 10.1007/s11128-023-04091-1 (view in DIP )
  • A.M. Grigoryan, S.S. Agaian, “Multiplicative group of quantum representations of signals,” Quantum Information Processing, p. 23, vol: 22, Issue: 1. 2023. (view in QIP)
  • A.M. Grigoryan, S.S. Agaian, “Quantum representation of 1-D signals on the unit circle,” Quantum Information Processing,  21, 24 (2022). (view in QIP)
  • A.M. Grigoryan, “Resolution map in quantum computing: signal representation by periodic patterns,” Quantum Information Processing, p. 21, (April 27, 2020) 19:177 (view in QIP).
  • A.M. Grigoryan, S.S. Agaian, “New Look on Quantum Representation of Images: Fourier Transform Representation,” Quantum Information Processing, p. 26, (March 21, 2020) 19:148 (view  in QIP).
  • A.M. Grigoryan, S.S. Agaian, “Paired Quantum Fourier Transform with log2N Hadamard Gates,” Quantum Information Processing, p.26, (May 25, 2019) 18: 217 (view at QIP).
  • A.M. Grigoryan, S.S. Agaian, “1-D Convolution Circuits in Quantum Computation,” International Journal of Scientific & Engineering Research, vol. 11, no. 8, pp-912-916, August 2020 (view at IJSER)
  • A.M. Grigoryan, S.S. Agaian, “Algorithm and circuit of nesting doubled qubits,”  arXiv,p. 10, (Jan 7, 2022) http://arXiv:2201.00256 
  • A.M. Grigoryan, A.A. Gomez, S.S. Agaian, (2024) “Methods of calculation of the 2-D quantum Fourier transform of images,” Proc. SPIE 13033 Conference, Defense + Commercial Sensing 2024, 13033-22, p. 12, Maryland, USA. http://dx.doi.org/10.1117/12.3013940
  • A.M. Grigoryan, S.S. Agaian, “Quaternion quantum image representation: New models,” Proc. SPIE 11399, Mobile Multimedia/Image Processing, Security, and Applications 2020, 113990O, p. 6, (21 April 2020)
  • A.M. Grigoryan, A.A. Gomez, S.S. Agaian, “New method of computing the quantum cosine transforms,” SPIE Defense + Commercial Sensing 2025, Conference 13457:  Multimodal Image Exploitation and Learning 2025, 13457-9, (April 14, 2025)
  • A.M. Grigoryan, A.A. Gomez, “New effective methods of preparation of states of quantum image representation,” SPIE Defense + Commercial Sensing 2025, Conference 13457: Multimodal Image Exploitation and Learning 2025, 13457-4, (April 14, 2025)