Subject
Quantum optics and information
General details of the subject
- Mode
- Face-to-face degree course
- Language
- English
Teaching staff
Name | Institution | Category | Doctor | Teaching profile | Area | |
---|---|---|---|---|---|---|
BLANCO PILLADO, JOSE JUAN | University of the Basque Country | Visitante Ikerbaske | Doctor | Not bilingual | Theoretical Physics | josejuan.blanco@ehu.eus |
PALMERO LAZCOZ, MIKEL | University of the Basque Country | Profesorado Agregado | Doctor | Bilingual | Applied Physics | mikel.palmero@ehu.eus |
SANZ RUIZ, MIKEL | University of the Basque Country | Investigador Ramón Y Cajal | Doctor | Not bilingual | ** n o c o n s t a e l a r e a * ó " á r e a p r o v i s i o n a l" | mikel.sanz@ehu.eus |
Competencies
Name | Weight |
---|---|
Problem solving | 70.0 % |
Understanding the topics and being able to present them | 15.0 % |
To be able to present a topic not explicitly included in the syllabus | 15.0 % |
Study types
Type | Face-to-face hours | Non face-to-face hours | Total hours |
---|---|---|---|
Lecture-based | 30 | 40 | 70 |
Seminar | 10 | 10 | 20 |
Applied classroom-based groups | 10 | 25 | 35 |
Assessment systems
Name | Minimum weighting | Maximum weighting |
---|---|---|
Practical tasks | 50.0 % | 50.0 % |
Written examination (theory) | 50.0 % | 50.0 % |
Ordinary call: orientations and renunciation
En caso de que las condiciones sanitarias impidan la realización deuna evaluación presencial, se activará una evaluación no presencial de
la que será informado el alumnado puntualmente.
Temary
FundamentalsIntroduction (Chap. 1 of Gerry-Knight, 4 h). Scope and aim of the course: Quantum Optics as a generic vehicle for quantum information and technologies. History.
Field quantization (Chap. 2 of Gerry-Knight, 8 h). Quantization of a single-mode field. Quantum fluctuations of a single-mode field. Quadrature operators for a single-mode field. Multimode fields. Thermal fields. Vacuum fluctuations and the zero-point energy. The quantum phase.
Coherent states (Chapter 3 of Gerry-Knight, 8 h). Eigenstates of the annihilation operator and minimum uncertainty states. Displaced vacuum states. Wave packets and time evolution. Generation of coherent states. More on the properties of coherent states. Phase-space pictures of coherent states. Density operators and phase-space probability distributions. Characteristic functions.
Light-Matter interaction (Chapter 4 of Gerry-Knight, 3 h). Atom–field interactions. Interaction of an atom with a classical field. Interaction of an atom with a quantized field. The quantum Rabi model; the Jaynes–Cummings model. The Jaynes–Cummings model with large detuning: a dispersive interaction.
Gaussian quantum states and simplectic notation (Serafini, 2 h). Introduction : continuous vs. discrete variables. Definition of continuous-variable quantum state; phase space; Wigner function and quantumness; Gaussian quantum states: Wigner and Characteristic Functions; Bi-linear Hamiltonians; Williamson Theorem; Single- and Two-Mode Quantum States; Negativity and Purity; Gaussian Measurements
Applications
Quantum metrology (Kok-Lovett, 5 h)
From Classical to Quantum Fisher Information: the Continuous-Variable Case; Quantum Fisher Information for Gaussian States; Quantum parameter estimation and hypothesis testing; Entanglement-Assisted Parameter Estimation; Hypothesis Testing; Example: Quantum Illumination; Heisenberg-Limit Interferometry
Quantum computation (Kok-Lovett, 6 h)
Fundamentals of quantum computation: From Boolean functions to Unitaries: Reversible Computation; The Circuit Model: Qubits & Basic Operations; Classical Theorems on Quantum Computation; Measurements: Single-Shot vs. Mean-Values. Quantum Computation in Quantum Optics: the single-photon case; Limitations of Quantum Optics for Quantum Computing: N-port Interferometers; Qubit Codification and Basic Operations: Knill-Lafflame-Milburn Protocol; Post-Selection and Probabilistic Gates. Quantum Computation in Quantum Optics: continuous variables; Quantum States: Squeezed States; Single-Mode Gates; Entanglement: Two-Mode Operations; The Gottesman-Knill Theorem for Continuous Variables
Quantum communications (Kok-Lovett, 4 h)
Remote state preparation and quantum teleportation; Quantum Teleportation: From Qubits to Continuous-Variables; Improvements: Entanglement Swapping and Distillation; Remote State Preparation: From Qubits to Continuous-Variables. Quantum Cryptography: Quantum Key Distribution with Continuous Variables
Bibliography
Basic bibliography
- Introductory Quantum Optics by Gerry and Knight (Cambridge), Chapters 1, 2, 3, 4, 8, and 10.
- Quantum Continuous Variables by Alessio Serafini (Taylor and Francis)
- Introduction to Optical Quantum Information Processing by Pieter Kok and Brendan W. Lovett (Cambridge)
- Additional material is provided via Egela (other books, articles, news, and auxiliary notes for specific topics).