| Code |
17551
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| Year |
1
|
| Semester |
S1
|
| ECTS Credits |
6
|
| Workload |
TP(60H)
|
| Scientific area |
Physics
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|
Entry requirements |
-
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|
Learning outcomes |
Familiarize students with advanced topics in Quantum Mechanics. Introduce the main ideas and techniques of the fields of Quantum
Computing and Quantum Information.
|
|
Syllabus |
1 Shannon entropy. Probability, joint probability, marginal probability, conditional probability. Shannon entropy. Bits. Mutual information. 2
Quantum Mechanics. Quantum states and operators. Evolution of quantum states. Measurement operations, wave function collapse.
Entanglement, EPR paradox, Bell inequalities. 3 Quantum Computing. Qubit. Bloch sphere. Quantum gates, quantum operations, quantum
algorithms. "No-go", "no-cloning", "no-broadcasting" theorems. Teleportation. 4 Quantum information. Pure states and mixed states.
Operator density, distance and fidelity. von Neumann entropy vs. Shannon entropy. 5 Physical platforms for quantum computing. Necessary
conditions. Harmonic oscillators. Optical qubits. QED cavity. Nuclear magnetic resonance. Other possibilities.
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Main Bibliography |
1 M.A. Nielsen and I.L. Chuang, “Quantum Computation and Quantum Information”, Cambridge University Press (2010).
2 V. Vedral, Introduction to Quantum Information Science”, Oxford University Press (2007).
3 G. Benenti, G. Casati, D. Rossini and G. Strini, “Principles of Quantum Computation and Information: A Comprehensive Textbook”, World
Scientific (2019).
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Teaching Methodologies and Assessment Criteria |
In theoretical-practical classes basic physical concepts will be provided and these concepts will be applied to problem solving. Based on the
content of these classes, the student will have to do homework every week that will be evaluated.
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Language |
Portuguese. Tutorial support is available in English.
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