ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Hours of tutorials: 3 Expository Class: 15 Interactive Classroom: 10 Total: 28
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Particle Physics
Areas: Atomic, Molecular and Nuclear Physics, Theoretical Physics
Center Faculty of Physics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
Quantum simulation aims to know, exactly or approximately, the evolution of the state of a quantum system so that observable magnitudes dependent or independent of time can be obtained, such as the expected value of the energy or the probability of a transition.
In this course the different aspects of quantum simulation will be studied.
On the one hand, we will see the formulations that efficiently approximate the exact analytical calculation in low entanglement situations, such as tensor networks.
Secondly, digital quantum simulation will be studied in which we seek to calculate the quantum evolution of a real system through circuits executed in universal quantum computers, or in classical computers that simulate them digitally in small cases.
Finally, we will see the paradigm of analog quantum simulation, which is based on the enormous development of quantum control in some very specific systems: networks of atoms, photonic systems, trapped ions, etc. The time evolution of these systems is isomorphic to that of the problem to be studied, hence the word analog (non-analog) quantum computing. In a way, these are not universal quantum computers, but highly specialized ones.
Finally, the study of adiabatic simulation using quantum annealing (quantum annealers) will be addressed.
The course is structured in three parts to address the aforementioned objectives:
PART 1.
Introduction to the problem of quantum simulation.
Study of problems to be studied through quantum simulation, spin and fermion models.
Classic simulation: tensor networks, MPS states,
Adiabatic simulation. Quantum annealers.
Quantum phase transitions: Ising model and MBL. Hubbard model and Mott-BCS
PART 2.
Digital quantum simulation. BQP, QMA classes
Product formulas: Trotterization, higher orders.
Advanced methods: LCU, cubitization.
Euclidean Hamiltonian Evolution.
Examples: transverse Ising model.
PART 3.
Analog simulation of quantum systems. Fundamental concepts.
Implementations
- optical networks of atoms
- QED-Cavities
- Trapped ions.
- Example: transverse Ising model.
R. Manenti y M. Motta, Quantum Information Science, Oxford.
Written notes.
Students who take this subject will acquire the skills and abilities of critical and creative thinking, communication and collaborative work that are indicated in the degree verification report (HD0, HD1, HD2, HD3).
In addition to the basic (CB1-CB5), general (CG1-CG4) and transversal (CT1-CT8) skills that are specified in the degree verification report, students will acquire the following specific skills for this subject
Specific Competencies:
CE3: Understanding and knowledge of the fundamentals of Quantum Information Theory, as well as the basic aspects of the four types of quantum technologies: computing, communications, metrology, simulation.
CE8: Know the algorithms and strategies of classical computing inspired by quantum computing: tensor networks, product states of matrices, etc.
Classes will be in person and will be broadcast synchronously to the other campuses
- Expository classes: in them the programmed contents will be explained and any doubts that may arise will be answered. Exercises and problems will be proposed that students must solve in their own work time.
- Interactive classes: resolution of the proposed exercises and problems, sharing of doubts. Students will be given prominence to present their results.
- Tutorials: these will provide personalized attention to the students to provide them with guidance and resolve their doubts.
- Autonomous work: during this time the study of the subject and the resolution of proposed tasks will be carried out.
There will be a virtual platform where essential and supplementary training and information material will be made accessible.
The evaluation of the subject will be a combination of different aspects:
1- Continuous evaluation: attendance and participation in expository and interactive classes, delivery of exercises and solved problems, voluntary presentation of results.
Weighting: 60%
2- Preparation and presentation of a subject project: 40%
"Article 16. Fraudulent performance of exercises or tests.
The fraudulent completion of any exercise or test required in the evaluation of a subject will imply a failing grade in the corresponding call, regardless of the disciplinary process that may be followed against the offending student. “It is considered fraudulent, among other things, to carry out work that is plagiarized or obtained from sources accessible to the public without reworking or reinterpretation and without citations to the authors and sources.”
The subject consists of 3 ECTS, so the total hours of student work, including evaluation activities, is 75 hours, structured into:
- 14 hours of expository classes
- 10 hours of interactive class
- 50 hours of student personal work
- 1 hour of tutorials
Although it is not essential, having studied advanced Quantum Mechanics is recommended.
Aínda que non é imprescindible, recoméndase ter estudado Mecánica Cuántica avanzada.
Javier Mas Sole
Coordinador/a- Department
- Particle Physics
- Area
- Theoretical Physics
- Phone
- 881813985
- javier.mas [at] usc.es
- Category
- Professor: University Professor
Francesc Yassid Ayyad Limonge
- Department
- Particle Physics
- Area
- Atomic, Molecular and Nuclear Physics
- yassid.ayyad [at] usc.es
- Category
- Researcher: Ramón y Cajal
Bin Wu
- Department
- Particle Physics
- Area
- Theoretical Physics
- bin.wu [at] usc.es
- Category
- Researcher: Ramón y Cajal
| Wednesday | |||
|---|---|---|---|
| 15:00-17:00 | Grupo /CLE_01 | Spanish | Classroom 2 |
| 05.19.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 2 |
| 06.16.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 2 |