Fundamental problems of quantum mechanics

Type: Normative

Department: theoretical physics




SemesterAmount of hoursLecturerGroup(s)
932Professor Volodymyr Tkachuk

Laboratory works

SemesterAmount of hoursGroupTeacher(s)

Description of the academic discipline

Aims and objectives: provide with knowledge of physical phenomena in quantum information. Main objectives are to analyze the fundamental problems of quantum mechanics processes in the framework of quantum information. These issues are of particular interest due to recent experimental achievements in this area.

Intended capabilities: to know foundations of quantum information, namely, theoretical basis of quantum cryptography, quantum teleportation, quantum computing and quantum computers, decoherence; to be capable of solving basic problems of quantum information.

Description. The course covers the following topics: Mathematical foundations of quantum mechanics; Two state quantum systems; Quantum communications; Quantum computing and quantum computers; Measurement in quantum mechanics; Geometry of quantum state space; Evolution of a quantum system; Decoherence; Operator identity and mean value of functions of bosonic operators.

Recommended Literature

Reading list:

  1. P. A. M. Dirac. Principles of Quantum Mechanics, Oxford University Press, 1967.
  2. A. Einstein. “Can quantum-mechanical description of physical reality be considered complete”. Phys. Rev.47, 777–780 (1935).
  3. Bell’s Theorem, Quantum theory, and Conception ofUniverse, ed. by M. Kafatos. Dordrecht: Kluwer, 1989.
  4. M. A. Nielsen, I. L. Chuang. Quantum Computation and Quantum Information, Cambridge University Press, 2000.
  5. W. H. Zurek “Decoherence, einselection, and the quantum origins of the classical”. Rev. Mod. Phys.75, 715–765 (2003).