259 citations · 2k across the 75 of their papers we have counts for
7 papers · 2 filters
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…
Regularization of potential in general case of deformed space with minimal length
M. I. Samar, V. M. Tkachuk
In general case of deformed Heisenberg algebra leading to the minimal length, we present a definition of the potential as a linear kernel of potential energy operator in mo…
Energy levels estimation on a quantum computer by evolution of a physical quantity
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
We show that the time dependence of mean value of a physical quantity is related with the transition energies of a quantum system. In the case when the operator of a physical quant…
Geometric properties of evolutionary graph states and their detection on a quantum computer
Kh. P. Gnatenko, H. P. Laba, V. M. Tkachuk
Geometric properties of evolutionary graph states of spin systems generated by the operator of evolution with Ising Hamiltonian are examined, using their relationship with fluctuat…