Publications by Kh. P. Gnatenko

  1. P. V. Sapriianchuk, Kh. P. Gnatenko
    Quantifying concurrence of two-qubit quantum states on a quantum computer
    Visnyk Lviv Univ. Ser. Phys. 60, 127-136 (2023)
    [abs]
  2. B. P. Hnatenko, Kh. P. Gnatenko
    Preparation of maximally entangled four-qubit states on a quantum computer and calculation of the geometric measure of entanglement
    Visnyk Lviv Univ. Ser. Phys. 60, 70-77 (2023)
    [abs]
  3. Kh. P. Gnatenko, V. M. Tkachuk
    Observation of spin-1 tunneling on a quantum computer
    Eur. Phys. J. Plus 138, No. 4, 346 [8 p.] (2023)
    [abs]
  4. Kh. P. Gnatenko, V. M. Tkachuk
    Deformed Heisenberg algebras of different types with preserved weak equivalence principle
    J. Phys. Stud. 27, No. 1, 1001 [19 p.] (2023)
    [abs]
  5. A. V. Kryzhova, Kh. P. Gnatenko
    Probability of quantum state determination among N possible ones
    Visnyk Lviv Univ. Ser. Phys. 60, 18-25 (2023)
    [abs]
  6. Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
    Geometric properties of evolutionary graph states and their detection on a quantum computer
    Phys. Lett. A 452, 128434 [6 p.] (2022)
    [abs]
  7. Kh. P. Gnatenko, V. M. Tkachuk
    Weak equivalence principle in quantum space
    Front. Astron. Space Sci. 9, 950468 [8 p.] (2022)
    [abs]
  8. Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
    Detection of energy levels of a spin system on a quantum computer by probe spin evolution
    Eur. Phys. J. Plus 137, No. 4, 522 [10 p.] (2022)
    [abs]
  9. Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
    Energy levels estimation on a quantum computer by evolution of a physical quantity
    Phys. Lett. A 424, 127843 [7 p.] (2022)
    [abs]
  10. Kh. P. Gnatenko, N. A. Susulovska
    Geometric measure of entanglement of multi-qubit graph states and its detection on a quantum computer
    EPL (Europhys. Lett.) 136, No. 4, 40003 (2021)
    [abs]
  11. Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
    Detecting energy levels of spin systems on IBM's quantum computer by evolution of mean value of physical quantity
    Proceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021, Virtual, Online, 17 October 2021 through 22 October 2021 433-434 (2021)
    [abs]
  12. N. A. Susulovska, Kh. P. Gnatenko
    Quantifying geometric measure of entanglement of multi-qubit graph states on the IBM's quantum computer
    Proceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021, Virtual, Online, 17 October 2021 through 22 October 2021 465-466 (2021)
    [abs]
  13. Kh. P. Gnatenko, N. A. Susulovska, V. M. Tkachuk
    Parameters of the deformed algebra with minimal uncertainties in position and momentum and the weak equivalence principle
    Visnyk Lviv Univ. Ser. Phys. 58, 30-38 (2021)
    [abs]
  14. Kh. P. Gnatenko, Kh. I. Stakhur, A. V. Kryzhova
    Particle in a uniform field in a noncommutative space with preserved time reversal and rotational symmetries
    J. Phys. Stud. 25, No. 2, 2002 [6 p.] (2021)
    [abs]
  15. Kh. P. Gnatenko, V. M. Tkachuk
    Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer
    Phys. Lett. A 396, 127248 (2021)
    [abs]
  16. Kh. P. Gnatenko
    Minimal momentum estimation in noncommutative phase space of canonical type with preserved rotational and time reversal symmetries
    Eur. Phys. J. Plus 135, No. 8, 652 [12 p.] (2020)
    [abs]
  17. Kh. P. Gnatenko
    Quantum computers: present and future
    Kolosok No. 5, 2-7 (2020)
    [full text]
  18. Kh. P. Gnatenko
    Incredible in the quantum world
    Kolosok No. 4, 2-7 (2020)
    [full text]
  19. Kh. P. Gnatenko, V. M. Tkachuk
    Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle
    Mod. Phys. Lett. A 35, No. 13, 2050096 [12 p.] (2020)
    [abs]
  20. Kh. P. Gnatenko, V. M. Tkachuk
    Upper bound on the momentum scale in noncommutative phase space of canonical type
    EPL (Europhysics Letters) 127, No. 2, 20008 [7 p.] (2019)
    [abs]
  21. Yu. Z. Golskyi, Kh. P. Gnatenko
    Entanglement of spins in triangle spin cluster
    Visnyk Lviv Univ. Ser. Phys. 56, 56-64 (2019)
    [abs]
  22. Kh. P. Gnatenko, O. I. Hryhorchak
    Relation of parameters of noncommutative algebra with mass and the equivalence principle in a space with quadratic noncommutativity of coordinates
    Visnyk Lviv Univ. Ser. Phys. 56, 31-42 (2019)
    [abs]
  23. Kh. P. Gnatenko, V. M. Tkachuk
    Minimal length estimation on the basis of studies of the Sun-Earth-Moon system in deformed space
    Int. J. Mod. Phys. D 28, No. 8, 1950107 [13 p.] (2019)
    [abs]
  24. Kh. P. Gnatenko, V. M. Tkachuk
    Macroscopic body in the Snyder space and minimal length estimation
    EPL (Europhysics Letters) 125, No. 5, 50003 [5 p.] (2019)
    [abs]
  25. Kh. P. Gnatenko
    Features of description of composite system’s motion in twist-deformed spacetime
    Mod. Phys. Lett. A 34, No. 9, 1950071 [9 p.] (2019)
    [abs]
  26. Kh. P. Gnatenko
    Harmonic oscillator chain in noncommutative phase space with rotational symmetry
    Ukr. J. Phys. 64, No. 2, 131-136 (2019)
    [abs]
  27. Kh. P. Gnatenko
    Parameters of noncommutativity in Lie-algebraic noncommutative space
    Phys. Rev. D 99, No. 2, 026009 [9 p.] (2019)
    [abs]
  28. Kh. P. Gnatenko, M. I. Samar, V. M. Tkachuk
    Time-reversal and rotational symmetries in noncommutative phase space
    Phys. Rev. A 99, No. 1, 012114 [6 p.] (2019)
    [abs]
  29. Kh. P. Gnatenko
    Influence of momentum noncommutativity on the motion of free particles system in rotationally-invariant noncommutative phase space
    Visnyk Lviv Univ. Ser. Phys. 55, 13-23 (2018)
    [abs]
  30. Kh. P. Gnatenko
    System of interacting harmonic oscillators in rotationally invariant noncommutative phase space
    Phys. Lett. A 382, No. 46, 3317-3324 (2018)
    [abs]
  31. Kh. P. Gnatenko, V. M. Tkachuk
    Influence of noncommutativity on the motion of Sun-Earth-Moon system and the weak equivalence principle
    Int. J. Theor. Phys. 57, No. 11, 3359–3368 (2018)
    [abs]
  32. Kh. P. Gnatenko
    Rotationally invariant noncommutative phase space of canonical type with recovered weak equivalence principle
    EPL (Europhysics Letters) 123, No. 5, 50002 [7 p.] (2018)
    [abs]
  33. Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
    Features of free particles system motion in noncommutative phase space and conservation of the total momentum
    Mod. Phys. Lett. A 33, No. 23, 1850131 [12 p.] (2018)
    [abs]
  34. Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
    Lee–Yang zeros and two-time spin correlation function
    Physica A 509, 1095-1101 (2018)
    [abs]
  35. Kh. P. Gnatenko, O. V. Shyiko
    Effect of noncommutativity on the spectrum of free particle and harmonic oscillator in rotationally invariant noncommutative phase space
    Mod. Phys. Lett. A 33, No. 16, 1850091 [11 p.] (2018)
    [abs]
  36. Kh. P. Gnatenko, O. O. Morozko, Yu. S. Krynytskyi
    The motion of a particle in a gravitational field in a rotationally-invariant noncommutative space of a canonical type and the weak equivalence principle
    J. Phys. Stud. 22, No. 1, 1001 [6 p.] (2018)
    [full text]
  37. Kh. P. Gnatenko, V. M. Tkachuk
    Length in a noncommutative phase space
    Ukr. J. Phys. 63, No. 2, 102-109 (2018)
    [abs]
  38. Kh. P. Gnatenko, V. M. Tkachuk
    Composite system in rotationally invariant noncommutative phase space
    Int. J. Mod. Phys. A 33, No. 7, 1850037 [21 p.] (2018)
    [abs]
  39. Kh. P. Gnatenko
    Features of description of composite system in two-dimensional quantized space with noncommutativity of coordinates of canonical type
    Visnyk Lviv Univ. Ser. Phys. 53, 22–29 (2017)
    [full text]
  40. Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
    Time correlation functions and Fisher zeros for q-deformed Bose gas
    EPL (Europhysics Letters) 120, No. 3, 30004 [6 p.] (2017)
    [abs]
  41. Kh. P. Gnatenko, V. M. Tkachuk
    Many-particle system in a rotationally-invariant space with canonical noncommutativity of coordinates
    J. Phys. Stud. 21, No. 4, 4002 [7 p.] (2017)
    [full text]
  42. Kh. P. Gnatenko, V. M. Tkachuk
    Two-particle system with harmonic oscillator interaction in noncommutative phase space
    J. Phys. Stud. 21, No. 3, 3001 [6 p.] (2017)
    [full text]
  43. Kh. P. Gnatenko
    Kinematic variables in noncommutative phase space and parameters of noncommutativity
    Mod. Phys. Lett. A 32, No. 31, 1750166 [12 p.] (2017)
    [abs]
  44. Kh. P. Gnatenko, V. M. Tkachuk
    Noncommutative phase space with rotational symmetry and hydrogen atom
    Int. J. Mod. Phys. A 32, No. 26, 1750161 [15 p.] (2017)
    [abs]
  45. Kh. P. Gnatenko, A. Kargol, V. M. Tkachuk
    Two-time correlation functions and the Lee-Yang zeros for an interacting Bose gas
    Phys. Rev. E 96, No. 3, 032116 [6 p.] (2017)
    [abs]
  46. Kh. P. Gnatenko, V. M. Tkachuk
    Weak equivalence principle in noncommutative phase space and the parameters of noncommutativity
    Phys. Lett. A 381, No. 31, 2463–2469 (2017)
    [abs]
  47. Kh. P. Gnatenko
    Uncertainty relations in noncommutative phase space
    Visnyk Lviv Univ. Ser. Phys. 52, 3-8 (2016)
    [full text]
  48. Kh. P. Gnatenko, V. M. Tkachuk
    Two-particle system in noncommutative space with preserved rotational symmetry
    Ukr. J. Phys. 61, No. 5, 432-439 (2016)
    [Ukr. Fiz. Zhurn. 61, 439-446 (2016)]

    [abs]
  49. Kh. P. Gnatenko, V. M. Tkachuk
    Minimal length, area, and volume in a space with noncommutativity of coordinates
    J. Phys. Stud. 20, No. 1/2, 1001 [5 p.] (2016)
    [abs]
  50. Kh. P. Gnatenko, V. M. Tkachuk
    Effect of coordinate noncommutativity on the mass of a particle in a uniform field and the equivalence principle
    Mod. Phys. Lett. A 31, No. 5, 1650026 [9 p.] (2016)
    [abs]
  51. Kh. P. Gnatenko
    Physical systems in a space with noncommutativity of coordinates
    J. Phys.: Conf. Ser. 670, 012023 [9 p.] (2016)
    [abs]
  52. Kh. P. Gnatenko, Yu. S. Krynytskyi, V. M. Tkachuk
    Perturbation of the ns levels of the hydrogen atom in rotationally invariant noncommutative space
    Mod. Phys. Lett. A 30, No. 8, 1550033 [12 p.] (2015)
    [abs]
  53. Kh. P. Gnatenko
    Hydrogen atom in noncommutative space
    in: Trans-European School of High Energy Physics, Basivka, Lviv Region, Ukraine, July 17-24, 2014: Proceedings 99-101 (2014)
    [full text]
  54. Kh. P. Gnatenko, V. M. Tkachuk
    Hydrogen atom in rotationally invariant noncommutative space
    Phys. Lett. A 378, No. 47, 3509-3515 (2014)
    [abs]
  55. Kh. P. Gnatenko
    Estimating the upper bound of the parameter of noncommutativity on the basis of the equivalence principle
    J. Phys. Stud. 17, No. 4, 4001 [5 p.] (2013)
    [full text]
  56. Kh. P. Gnatenko
    Composite system in noncommutative space and the equivalence principle
    Phys. Lett. A 377, No. 43, 3061-3066 (2013)
    [abs]