260013 VU Quantum Information Theory - Detection of Entanglement (2025W)

[This course is designed to be conducted in a face-to-face format, and attendance is mandatory. However, if you are feeling unwell or experiencing any symptoms of illness, you should not attend the course in person. In such cases, it is important to notify the instructor via email prior to the session. Any missed classes due to illness can be made up through assigned written work to ensure that you stay on track with the course material. Your health and the well-being of others are a top priority.]

This course offers a comprehensive introduction to quantum information theory, with a special focus on the concept of quantum entanglement. While the primary emphasis is on theoretical foundations, the course will also touch upon experimental approaches and possibilities. A key topic covered will be the separability problem for bipartite and multipartite high-dimensional systems. You will explore methods for determining whether a quantum state is entangled—an intriguing and computationally challenging problem classified as NP-hard. The course will also examine the various types of entangled states, including bound entanglement and free entanglement, and their unique properties.

Beyond the theoretical aspects, the course will delve into practical applications of quantum entanglement, such as quantum teleportation and dense coding, which highlight the transformative potential of these phenomena. You will also be introduced to the concepts of quantum channels and open quantum systems, with discussions on key topics like master equations and Kraus representations. Finally, the course will provide an overview of the principles behind quantum computing and explore emerging areas such as quantum machine learning algorithms, offering a glimpse into the future of quantum technologies.