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Lecturer(s)
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Lemr Karel, doc. Mgr. Ph.D.
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Černoch Antonín, Mgr. Ph.D.
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Course content
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Basic terminology in quantum mechanics and mathematical formulations (superposition princliple, qubit, unitary operations, projective and generalized measurements, density matrices, purity, fidelity). Quantum gates (fundamental set of gates: single-qubit transformations, XOR, CNOT, CPHASE, ..., universal sets of gates, programmable gates). Quantum entanglement and its usage (CHSH inequalities, quantum teleportation, quantum relay, distillation of quantum entanglement, cluster states). Quantum cryptography (basic principle of security, important protocols: BB84, E91, R04, ..., quantum cloning a. s a method of attact, technological methods of attack, device-independent quantum key distribution, quantum payment tools). Quantum communications (transmission channel errors, quantum amplifiers, quantum routers) Selected algorithms for quantum computing (Deutsch-Jozsa algorithm, QFT, Shor's algorithm, quantum machine learning). Experimental platforms for quantum information processing (linear optics, atoms and ions, quantum dots, superconductive materials, crystal defects). Experimental methods of linear optics (methods of qubit encoding, linearity of optical components, single and two-photon interference, post-selection and success probability, implementation of key gates). Quantum random walk (discrete and continuous versions, modeling of a quantum random walk in 1D and 2D, topological aspects, effect of decoherence, practical implementations and their applications). Weak quantum measurements (principle of weak measurements, pre-selection and post-selection of states, quantum state tomography with weak measurements, measurements of non-commuting operations).
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Work with Text (with Book, Textbook)
- Attendace
- 20 hours per semester
- Homework for Teaching
- 130 hours per semester
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Learning outcomes
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Students are assumed to master the topics described in the content of the subject.
The obtained knowledge is described and clearly defined in the content of the subject.
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Prerequisites
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The subject is oriented to gaining and improving knowledge.
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Assessment methods and criteria
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Mark
Research of the scientific literature, discussions about the studied topics.
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Recommended literature
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Vybrané aktuální časopisecké publikace..
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Aharonov Festschrift Y. (2014). Quantum Theory: A Two-Time Success Story. Springer.
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Alber, G., Beth, Th., Horodecki, M., Horodecki, P., Horodecki, R., Rötteler, M., Weinfurter, H., Werner, R., Zeilinger, A.. (2001). Quantum Information. Springer, Berlin.
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Bouwmeester D., Ekert A. K., Zeilinger A. (2000). The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation. Springer, Berlin.
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Dušek M. (2002). Koncepční otázky kvantové teorie. UP, Olomouc.
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K. Manouchehri, J. Wang. (2014). Physical Implementation of Quantum Walks. Springer.
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Nielsen M. A., Chuang, I. L. (2000). Quantum Computation and Quantum Information. Cambridge University Press.
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