Registration Number
0120U104801,
(
0220U104262
0221U105960
0221U106638
0223U004835
)
R & D request
Title
Studies of physical systems and effects of space quantization on quantum computers
Head
Tkachuk Volodymyr M., Доктор фізико-математичних наук
Registration Date
11-11-2020
Organization
Ivan Franko National University of Lviv
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The aim of the project is to model quantum systems to establish their properties on quantum computers. Namely, finding a bipartite geometric measure of entanglement of mixed states of systems with an arbitrary number of spins analytically and using quantum computers from IBM. Writing quantum protocols for the formation of graph states generated by operators of evolution with different spin Hamiltonians (Ising and Heisenberg Hamiltonians). Calculate the measure of entanglement of such graph spin states and establish its connection with the characteristics of the corresponding graphs. Writing quantum protocols for operators of the evolution of spin systems with different types of interaction. Determination of geometrical characteristics such as curvature and torsion for the evolution states of spin systems, that are described by the Ising and Heisenberg models using quantum computers. Establishing the relationship between curvature and torsion with the entanglement of quantum states. Modeling of spin physical systems described by Hamiltonians with complex parameters. Finding zeros of time correlation functions of spin systems and zeros of the partition functions using quantum calculations. Modeling a spin network that describes quantized space on quantum computers and establishing the effects of space quantization on the properties of spin systems using quantum computing.
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2024-12-10
