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Two person quantum game theory
Krajný, Matěj ; Vašík, Petr (referee) ; Hrdina, Jaroslav (advisor)
This thesis presents introductuion to mathematical notation of quantum states, furthermore foucuses on deeper understanding of their representation. We broaden a clasical game of two players Prisoners dilema by adding quantum strategies. And we observe changes of equilibrium in comparison to clasical game.
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Two person quantum game theory
Krajný, Matěj ; Vašík, Petr (referee) ; Hrdina, Jaroslav (advisor)
This thesis presents introductuion to mathematical notation of quantum states, furthermore foucuses on deeper understanding of their representation. We broaden a clasical game of two players Prisoners dilema by adding quantum strategies. And we observe changes of equilibrium in comparison to clasical game.
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Optimizing quantum simulations and the DMRG method
Brandejs, Jan ; Pittner, Jiří (advisor)
Title: Optimizing quantum simulations and the DMRG method Author: Jan Brandejs Department: Department of Chemical Physics and Optics Supervisor: doc. Dr. rer. nat. Jiří Pittner, DSc., J. Heyrovský Institute of Physical Chemistry of the Czech Academy of Sciences Abstract: In this work, we explore the quantum information theoretical aspects of simulation of quantum systems on classical computers, in particular the many- electron strongly correlated wave functions. We describe a way how to reduce the amount of data required for storing the wavefunction by a lossy compression of quantum information. For this purpose, we describe the measures of quantum entanglement for the density matrix renormalization group method. We imple- ment the computation of multi-site generalization of mutual information within the DMRG method and investigate entanglement patterns of strongly correlated chemical systems. We present several ways how to optimize the ground state calculation in the DMRG method. The theoretical conclusions are supported by numerical simulations of the diborane molecule, exhibiting chemically interest- ing electronic structure, like the 3-centered 2-electron bonds. In the theoretical part, we give a brief introduction to the principles of the DMRG method. Then we explain the quantum informational...
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20th-Century History. Czech, Czechoslovak or Böhmisch?
Kopeček, Michal
This study explores the possibility of alternative approaches to the history of contemporary states formed on national principles. The author assesses the positive and negative aspects of transnational and entangled history and the possible application of such an approach to Czech history, working with the concepts "Czech", "Czechoslovak" and "Böhmisch".
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Optimizing quantum simulations and the DMRG method
Brandejs, Jan ; Pittner, Jiří (advisor) ; Zamastil, Jaroslav (referee)
Title: Optimizing quantum simulations and the DMRG method Author: Jan Brandejs Department: Department of Chemical Physics and Optics Supervisor: doc. Dr. rer. nat. Jiří Pittner, DSc., J. Heyrovský Institute of Physical Chemistry of the Czech Academy of Sciences Abstract: In this work, we explore the quantum information theoretical aspects of simulation of quantum systems on classical computers, in particular the many- electron strongly correlated wave functions. We describe a way how to reduce the amount of data required for storing the wavefunction by a lossy compression of quantum information. For this purpose, we describe the measures of quantum entanglement for the density matrix renormalization group method. We imple- ment the computation of multi-site generalization of mutual information within the DMRG method and investigate entanglement patterns of strongly correlated chemical systems. We present several ways how to optimize the ground state calculation in the DMRG method. The theoretical conclusions are supported by numerical simulations of the diborane molecule, exhibiting chemically interest- ing electronic structure, like the 3-centered 2-electron bonds. In the theoretical part, we give a brief introduction to the principles of the DMRG method. Then we explain the quantum informational...
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