Project Title: Constrained Optimization with Low-Rank Tensor ApproximationsDoctoral candidate: Yassin KoubaaAdvisors: F. Oztoprak Topkaya (Artelys), M. Gabay (Artelys), B. Mourrain (Inria), C. Riener (UiT) Mentor: A. Mantzaflaris (Inria) Objectives: In certain applications, the desired solution of an optimization problem can be stated as a tensor. Typically, the size of such…
Project Title: Tensor and polynomial optimisation for quantum information networksDoctoral Candidate: Younes NaceurAdvisors: A. Acin (ICFO), V. Magron (LAAS) Mentor: S. Mansfield (Quandela) Objectives: We consider quantum communication systems with network of users, corresponding to a network of Hilbert space tensor products, which raises important computational challenges. Different type of…
Project Title: State preparation of matrix-product operationsDoctoral candidate: Llorenç Balada GaggioliAdvisors: J. Marecek (CTU) , D. Henrion (LAAS), M. Korda (LAAS) Mentor: G. Korpas (HSBC Lab) Objectives: Many practical quantum circuits operate with multiple quantum registers, storing multiple types of input, some ancillas, and some output registers. In the corresponding…
Project Title: Approximation hierarchies for quantum entanglement detectionDoctoral Candidate: Jonas BritzAdvisors: M. Laurent (NWO-I), V. Magron (CNRS), Mentor: M. Almeida (Quantinuum) Objectives: Tensor products model quantum state systems consisting of multiple subsystems. Detecting whether a quantum state is entangled (or separable) is a fundamental question in quantum information theory, which…
Project Title: Geometry of Hermitian tensor spacesDoctoral candidate: Nikhil KenAdvisors: G. Ottaviani (UniFI), Yang Qi (Inria), B. Mourrain (Inria) Mentor: E. Rubei (UniFI) Objectives: Tensor spaces have natural distances invariant under the orthogonal group or the unitary group, respectively in the real or the complex setting. Several optimisation problems in…
Project Title: Geometry of tensor network varieties for quantum condensed matter physicDoctoral Candidate: Otto SchmidtAdvisors: I. Carusotto (INO-BEC, CNR), S. Telen (MPG) Mentor: S. Mansfield (Quandela) Objectives: Tensor Networks (TN) are a convenient way to represent those strongly entangled quantum states that appear in interacting many-particle systems and compute their…
Doctoral candidate: Oriol Reig Project Title: Algorithms for Tensor DecompositionAdvisors: A. Bernardi (UniTN), A. Oneto (UniTN), B. Mourrain (Inria) Mentor: Federico Lucca (BlueTensor) Objectives: The objective of the project is from the academic side it intends to investigate and develop new methods and algorithms for tensor decomposition (TD), and from…
Project Title: Tensor optimization for storage integrationDoctoral Candidate: Luca WellmeierAdvisors: C. Bordin (UiT), C. Riener (UiT), M. Schweighofer (UKON), Mentors: Michaël Gabay (Artelys) Objectives: Optimal integration of storage in power and energy networks with a high share of intermittent renewable energy sources is one of the major challenges for a…
Project Title: Tensor decomposition with group invarianceDoctoral Candidate: Henri BreloerAdvisors: H. Munthe-Kaas (UiT), C. Riener (UiT), E. Hubert (Inria), Mentor: Florian Strohl (UiT) Objectives: The so called orbit recovery problem is the problem of recovering a planted signal from noisy measurements under unknown group actions. More concretely, one tries to…
Project Title: Gibbs manifolds and semidefinite programmingDoctoral Candidate: Francesca LemboAdvisors: B. Sturmfels (MPG), S. Telen (MPG), M. Laurent (NWO-I), Mentor: Georgios Korpas (HSBC) Objectives: Interior point methods for linear programming use regularization to reduce the problem to smooth convex optimisation on a polytope. A popular choice for the regularization is…
