Registration Number
0221U106638,
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
16-12-2021
Organization
Ivan Franko National University of Lviv
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Graph states that are generated by the operator of evolution with Ising and Heisenberg Hamiltonians are studied. Relation of properties of spin systems in graph states with characteristics of graphs
is found. The geometric measure of entanglement of graph states is detected on IBM’s quantum computers and its relation with degree of vertexes of corresponding graphs is found. Geometric measure of entanglement of
continuous variable is obtained. 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 is proposed. It opens a possibility to achieve
quantum supremacy in solving eigenvalue problem with development of multi-qubit quantum computers.
Product Description
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Gnatenko Khrystyna P.
Kuzmak Andrij R.
Laba Hanna P.
Samar Mykola I.
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2021-12-16