quantum computations, theory of quantum information, cryptography, quantum teleportation, braid theory, noise stability in quantum computations, simulations.
Subject:
Quantum computations and quantum information, topological quantum computations.
Numerical simulation of electrodynamical systems with arbitrary geometry and materials.
Numerical simulation of particle passage through matter.
Main publications:
Converting high-current pulsed electron beams of small transverse dimensions. A. N. Dovbnya, G. D. Pugachev, I. N. Shapoval, I. I. Shapoval. Problems of Atomic Science and Technology (PAST-VANT), V. 5, ser. "Nuclear-physics investigations", p. 217–219, 2001.
Decays of B meson, supersymmetry and polarization. S. A. Duplij, I. I. Shapoval. Journal of V. N. Karazin Kharkiv National University, # 642, iss. 3(25), ser. "Nuclei, particles, fields", p. 117–122, 2004.
Monitoring low energy beams of bremsstrahlung with the help of reaction:
115In(γ, γ`)115mIn. Ranyuk Y. M., Shevchenko O. S., Gostischev V. N., Shapoval I. I., Noga V. I., Nemashkalo L. L. Problems of Atomic Science and Technology (PAST-VANT), v. 7, ser. "Nuclear-physics investigations", p. 186–192, 2004.
Photoproduction of 111mCd on Eγ < 3.0MeV energies. Yu. M. Ranyuk, A. M. Dovbnja, I. I. Shapoval, etc., Ukrainian Journal of Physics, v. 51, # 2, p. 115–119, 2005.
Photoproduction of 115mIn i 113mIn on Eγ < 3.0MeV energies. Yu. M. Ranyuk, A. M. Dovbnja, I. I. Shapoval, etc., Problems of Atomic Science and Technology (PAST-VANT), v. 3, ser. "Nuclear-physics investigations", p. 24–32, 2006.
Quantum computations: fundamentals and algorithms. S. A. Duplij, I. I. Shapoval, Problems of Atomic Science and Technology (PAST-VANT). # 3(1), p. 230–235, 2007. arXiv.org:0712.1098.
Topological methods in quantum computations. S. A. Duplij, I. I. Shapoval. Journal of V. N. Karazin Kharkiv National University, ser. "Nuclei, particles, fields", # 781, iss. 3(35), p. 3–30, 2007 (in Russian).
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