Registration Number
0221U105960,
0120U104801
, R & D reports
Title
Studies of physical systems and effects of space quantization on quantum computers
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Head
Tkachuk Volodymyr M., Доктор фізико-математичних наук
Tkachuk Volodymyr M., Доктор фізико-математичних наук
Registration Date
20-09-2021
Organization
Ivan Franko National University of Lviv
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Geometrical characteristics (curvature and torsion) of the states of the evolution of spin systems that are described by the Ising and Heisenberg model have been calculated firstly analytically and on a quantum computer. The connection of geometrical characteristics with the entanglement of quantum states has been established. Quantum protocols for determining the distances between quantum states have been
proposed. Taking into account the geometrical characteristics of the space of quantum states and the definition of consistency, the expression for stability is obtained as a measure of entanglement for the states of two qubits has been found firstly. A method for finding the energy levels of physical systems on a quantum computer has been proposed. The obtained results allow solving combinatorial optimization problems on quantum computers, which have a wide practical use.
Product Description
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Gnatenko Khrystyna P.
Kuzmak Andrij R.
Laba Hanna P.
Samar Mykola I.
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2021-09-20