Description and contextualization of the subject

Este curso sobre tecnologías cuánticas ofrecerá al estudiante un conocimiento integral de las plataformas cuánticas modernas. Específicamente, se abordarán aspectos teóricos y metodológicos relacionados con la implementación de puertas cuánticas entrelazantes, simulaciones cuánticas de sistemas complejos, y técnicas de detección mediante resonancia magnética nuclear en diversas plataformas como: circuitos superconductores, átomos neutros, iones atrapados y centros de nitrógeno y vacantes. Además, se espera que los estudiantes comprendan los rangos energéticos de operación de cada una de estas plataformas.

Learning outcomes of the subject

Knowledge or content:

RCO1. Demonstrate the ability to explain the fundamental principles of the quantum world, both at a basic and technical level.

RCO2. Have a basic knowledge of the relevant literature in quantum mechanics and be capable of effectively reading and understanding research articles.

RCO3. Be able to initiate the development of original ideas and applications within the context of quantum physics research.

RCO4. Possess the capacity for independent research, synthesis, and be able to present in a clear and structured way complex issues related to the various areas of quantum mechanics addressed in this Master¿s program.

RCO5. Under supervision, demonstrate the ability to write and defend original work that meets the quality standards required for publication in high-impact indexed journals.

RCO6. Be able to identify opportunities for innovation and technology transfer in the field of quantum science and technology.

RCO7. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Information and Computation.

RCO11. Know the basic literature and demonstrate the ability to solve standard problems in the field of Condensed Matter Physics.

RCO12. Know the basic literature and demonstrate the ability to solve standard problems in the field of Quantum Technologies.





Competencies:

RC1. Possess and understand knowledge that provides a basis or opportunity for developing and/or applying original ideas, often in a research context.

RC2. Apply acquired knowledge and problem-solving skills in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their field of study.

RC3. Demonstrate the ability to integrate knowledge and address the complexity of formulating judgments based on incomplete or limited information, including reflection on social and ethical responsibilities linked to the application of their knowledge and judgments.

RC4. Communicate conclusions, as well as the underlying knowledge and rationale, clearly and unambiguously to both specialized and non-specialized audiences.

RC5. Possess learning skills that enable continued study in a largely self-directed or autonomous manner.



Abilities or skills:



RHE1. Demonstrate proficiency in using tools for bibliographic resource searches.

RHE2. Exhibit critical capacity to read research articles and incorporate their findings into one¿s own work.

RHE3. Write and present original work in one of the official languages and in English.

RHE4. Communicate scientific concepts and results clearly and effectively to both specialized and non-specialized audiences, through presentations and publications.

RHE5. Demonstrate the ability for autonomous learning and staying current with scientific and technological advances.





RHT1. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in basic research in quantum science.

RHT2. Understand and apply the fundamental principles of quantum mechanics to analyze and solve problems in quantum technology.

RHT3. Effectively integrate into a fundamental or applied research project involving quantum aspects, and solve problems in multidisciplinary environments.

RHT5. Evaluate and select appropriate tools and techniques for the development of technological applications based on quantum physics.

RHT6. Join a company focused on the development of quantum technologies, contributing both to research and development and to the implementation of new strategies based on the principles of quantum mechanics.

Temary

Superconducting circuits. Superconductivity. Cooper pair condensate, tunneling and the Josephson effect. Copper pair reservoir modelling. Electrical circuit modelling. The SQUID. The Cooper pair box. Transmon and fluxonium. Other superconducting qubits.

Atoms. Atom trapping, optical lattices, simulations. MOT. Rydberg atoms. Dipole-dipole coupling. Gates.

NV centers. RMN. Sensing and metrology applications at room temperature.

Ions. Trapping, Paul and Penning traps. Lamb-Dicke parameter. Driving and sidebands. Cirac-Zoller bus. Møller-Sørensen gate.

Atoms. Atom trapping, optical lattices, simulations. MOT. Rydberg atoms. Dipole-dipole coupling. Gates.

Bibliography

Basic bibliography

Ion traps: a gentle introduction, Masatoshi Kajita, IOP Publishing (2022)

Saffman, Mark, Thad G. Walker, and Klaus Mølmer. "Quantum information with Rydberg atoms." Reviews of modern physics 82, no. 3 (2010): 2313-2363.

Introduction to Superconductivity, Michael Tinkham, Dover (2004)

Introduction to quantum electromagnetic circuits, Uri Vool and Michel Devoret, Int. J. Circ. Theor. Appl. 45, 897-934 (2017).

M. H. Levitt, Spin Dynamics: basics of Nuclear Magnetic Resonance, 2nd ed. Wiley & sons. 2013.

Journals

List of relevant journal references provided by the lecturers.