| Code |
17551
|
| Year |
1
|
| Semester |
S1
|
| ECTS Credits |
6
|
| Workload |
TP(60H)
|
| Scientific area |
Physics
|
|
Entry requirements |
-
|
|
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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Language |
Portuguese. Tutorial support is available in English.
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