259 citations · 2k across the 75 of their papers we have counts for
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Deformed Heisenberg algebras of different types with preserved weak equivalence principle
Kh. P. Gnatenko, V. M. Tkachuk
In the paper a review of results for recovering of the weak equivalence principle in a space with deformed commutation relations for operators of coordinates and momenta is present…
Probing mean values and correlations of high-spin systems on a quantum computer
A. R. Kuzmak, V. M. Tkachuk
We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a re…
Observation of spin-1 tunneling on a quantum computer
Kh. P. Gnatenko, V. M. Tkachuk
Spin-1 tunneling and splitting of energy levels as a result of tunneling are observed explicitly on IBM's quantum computer, ibmq-bogota. The spin-1 is realized with two spins-1/2.…
Continuous variable graph states: entanglement and graph properties
Kh. P. Gnatenko, V. M. Tkachuk, M. Krasnytska +1
We propose the definition of the geometric measure of entanglement for continuous variable states. On the basis of this definition we examine entanglement of the graph states obtai…
Scattering solution of Schrödinger equation with -potential in deformed space with minimal length
M. I. Samar, V. M. Tkachuk
We consider the Dirac -function potential problem in general case of deformed Heisenberg algebra leading to the minimal length. Exact bound and scattering solutions of the probl…
Detection of energy levels of a spin system on a quantum computer by probe spin evolution
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
We propose a method for detection of energy levels of arbitrary spin system on a quantum computer based on studies of evolution of only one probe spin. On the basis of the proposed…