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INFO-H517

Quantum information and Computation II

academic year
2024-2025
2025-2026

Course teacher(s)

Nicolas CERF (Coordinator) and Jérémie ROLAND

ECTS credits

5

Language(s) of instruction

english

Course content

Classical vs quantum entropy

  • notions of classical information theory (Shannon entropy)
  • quantum entropy (von Neumann entropy)
  • quantum source coding

Quantum communication

  • description of quantum channels (CPTP maps, operator-sum decomposition)
  • classical accessible information (Holevo bound)
  • classical capacity, entanglement-assisted classical capacity, quantum capacity, secret capacity
  • quantum repeaters (basics)

Quantum information processing with light

  • introduction to quantum optics
  • quantum states of light, coherent states, squeezing (Bloch-Messiah decomposition), Fock states, cat states
  • Gaussian bosonic channels

Quantum metrology (basics)

  • quantum state discrimination
  • standard quantum limit and Heisenberg limit, NOON states
  • quantum Fisher information, quantum Cramer-Rao bound

Advanced quantum algorithms and techniques

  • quantum phase estimation
  • Kitaev’s description of Shor’s algorithm
  • hidden subgroup problem
  • quantum walks
  • quantum linear systems
  • Hamiltonian simulation (including linear combination of unitaries and quantum signal processing)

Quantum complexity theory

  • lower bound methods (adversary method, polynomial method, basic quantum complexity classes (BQP, QMA, …)

Alternative models of quantum computation

  • adiabatic quantum computation
  • variational quantum algorithms

Objectives (and/or specific learning outcomes)

  • to expose the students with a collection of selected advanced topics in the field of quantum information and computation
  • to confront the students with current challenges in this field, both from a physics and computer science perspectives

Prerequisites and Corequisites

Required and Corequired knowledge and skills

Prerequisite : INFO-H514

Teaching methods and learning activities

  • Theory courses
  • Exercise sessions
  • Project (based on a scientific article)

Course notes

  • Université virtuelle

Other information

Contacts

  • Nicolas CERF (Nicolas.Cerf@ulb.be)
  • Jérémie ROLAND (Jeremie.Roland@ulb.be)

Campus

Solbosch

Evaluation

Method(s) of evaluation

  • Oral examination
  • Oral presentation

Oral examination

  • Open book examination
  • Open question with long development

Oral presentation

  • Project : oral presentation of a scientific article (organized in first session only)

Mark calculation method (including weighting of intermediary marks)

Both the project and the oral exam are graded on a total of 20.

  • If both grades are above 10/20, the global grade is their weighted average (the project counts for 20% while the oral exam counts for 80%), rounded to the closest half integer;
  • If one of the grades is below 10/20, the global grade is the minimum of both grades.

In short, in order to validate the course, the student needs to validate both the project and the oral exam. The project is organized in first session only: in case of failure at the project in first session, it can only be presented again during the next academic year.

Language(s) of evaluation

  • english
  • (if applicable french )

Programmes