CODE | 98389 |
---|---|
ACADEMIC YEAR | 2022/2023 |
CREDITS |
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SCIENTIFIC DISCIPLINARY SECTOR | FIS/02 |
LANGUAGE | Italian |
TEACHING LOCATION |
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SEMESTER | 2° Semester |
TEACHING MATERIALS | AULAWEB |
OVERVIEW
The course is an introduction to quantum information and computation. The theorical part is followed by an applicative one aimed to show the more recent developments of the field.
AIMS AND CONTENT
PREREQUISITES
There are no particular prerequisites for the mathematics and physics.
The mathematical tools needed will be introduced during the course.
TEACHING METHODS
Theoretical lectures supported by more applicative ones focused on the quantum computers languages (Qiskit by IBM, CIRQ by Google, Braket by Amazon)
SYLLABUS/CONTENT
- Physics of computation
- Basic concepts in Informatics: logical gates, universal and reversible logical gates
- Billiard ball and DNA computers
- Mathematical tools
- Vector spaces and operations
- Tensor product
- Hermitian operators, eigenvectors and eigenvalues and matrix representation of an operator
- Introduction to quantum phenomena
- Double slit and light polarization experiments
- Quantum state, quantum superposition and quantum bit (qubit)
- Quantum measurement
- Composite quantum systems and entanglement
- Unitary transformations, logical gates with one and two qubits
- Pauli operators and Bloch sphere representation
- Introduction to quantum information
- Quantum parallelism, no-cloning theorem, super-dense coding and quantum teleportation
- Quantum algorithms: Deutch, Deutch-Joza, Bernstein-Vazirani and Simon
- Quantum cryptography
- Fundamental concepts in classical cryptography: public and private key cryptography
- Quantum cryptography protocols: Bennett-Brassard (BB84) and Ekert91
- Quantum algorithm for the search in a database: (Grover’s algorithm)
- Fundamental concepts in database search algorithms
- Grover’s algorithm
- Introduction to error correcting codes
- Fundamental concepts in the classical case and differences with the quantum case
- Composite observables and their eigenvalues
- Quantum error correcting codes (bit-flip, small errors and phase errors)
- Shor’s protocol for error correcting code
- Introduction to quantum games
- Introduction to game theory: classical and quantum
- spin-flip in star trek
- Prisoner dilemma: quantum and classical case
- Mermin’s game
- Elitzur-Vaidman bomb tester
- Quantum Fourier transform and quantum phase estimation algorithm
- Mathematical tools and classical Fourier transform
- Quantum Fourier transform
- Quantum phase estimation algorithm
- Applications: quantum counting algorithm
- Advanced quantum algorithms
- Shor’s algorithm for factorizing integer numbers
- Harrow-Hassidim-Lloyd (HHL) algorithm
- Applications of HHL algorithm: linear algebra and quantum machine learning
- Nonlocality and entanglement in quantum mechanics
- Nonlocality in quantum mechanics
- Einstein, Podolsky, and Rosen paradox
- Bell’s inequality and Aspet’s experiment
- Greenberger–Horne–Zeilinger nonlocal states and Zeilinger’s experiment
- Quantum algorithms, quantum protocol and quantum experiments implementations with the IBM quantum computers
RECOMMENDED READING/BIBLIOGRAPHY
P. Solinas – Notes: “Introduzione all’Informatica quantistica”
M. A. Nielsen e I. L. Chuang "Quantum Computation and Quantum Information", Cambridge University Press (2011)
N. S. Yanofsky e M. A. Mannucci "Quantum Computing for Computer Scientists", Cambridge University Press (2008)
E. G. Rieffel and W. H. Polak "Quantum Computing: A Gentle Introduction (Scientific and Engineering Computation)"
The MIT Press (2011)
TEACHERS AND EXAM BOARD
Ricevimento: Meeting with the students are taken by appointments. Contact: Paolo Solinas, Dipartimento di Fisica, via Dodecaneso 33, 16146 Genova piano 8, studio S819 telefono: 010 3536260 email: solinas@fisica.unige.it
Exam Board
PAOLO SOLINAS (President)
PIERANTONIO ZANGHI'
ALESSANDRO VERRI (Substitute)
LESSONS
LESSONS START
The lectures will start according to the academic calendar
Class schedule
L'orario di tutti gli insegnamenti è consultabile all'indirizzo EasyAcademy.
EXAMS
EXAM DESCRIPTION
The exam is composed by an oral examination and a home assignment.
In home assignment the student will be asked to solve a simple problem by writing a code for a quantum computer and he/she will be asked to write a short report.
Exam schedule
Data | Ora | Luogo | Degree type | Note |
---|---|---|---|---|
18/01/2023 | 09:00 | GENOVA | Orale | |
06/02/2023 | 09:00 | GENOVA | Orale | |
09/06/2023 | 09:00 | GENOVA | Orale | |
04/07/2023 | 09:00 | GENOVA | Orale | |
07/09/2023 | 09:00 | GENOVA | Orale |