Quantum computing is at the cutting edge of technological innovation, offering the potential to solve complex problems that classical “binary” computers cannot address. Ten- sor algebra, with its comprehensive mathematical framework, offers crucial tools for modeling and approximating large multidimensional datasets. This thesis seeks to investigate the interplay between tensor networks and quantum computing by proposing original, robust (to decoherence of qubits) quantum algorithms that utilize tensor structures to improve computational efficiency and capabilities. This research requires a multidisciplinary understanding of quantum physics and linear algebra. This thesis topic will benefit from the complementary expertises of Remy Boyer (CRISTAL/SIGMA) for the multilinear algebra aspect and Giuseppe Patera (PhLAM, Quantum Information team) for the quantum physics aspect.

Quantum batteries have garnered significant attention as a novel energy storage paradigm, leveraging quantum phenomena such as coherence, entanglement, and squeezing to outperform classical counterparts. While a substantial body of research has focused on finite-dimensional systems, particularly spin-based and qubit-based models, the potential of bosonic systems, such as harmonic oscillators, remains underexplored. This research aims to bridge this gap, emphasizing the unique advantages offered by continuous-variable setups, including scalability, and compatibility with realistic physical systems, in particular quantum optics and materials.

Are you interested in contributing to quantum open-source projects while getting paid over the summer?

toqito, a quantum information toolkit, is participating in Google Summer of Code (GSoC) 2025 through numFOCUS. You can find a list of potential ideas along with the required skills in the project wiki. https://github.com/vprusso/toqito/wiki/GSoC-2025-Projects

Are you passionate about shaping the future of quantum technologies? The internationally recognized Quantum Information Technologies Research Group at the University of Warsaw, led by Prof. Magdalena Stobińska, is seeking an exceptional PhD candidate to join our dynamic team.

You will be directly involved in groundbreaking quantum research with real-world applications, working with state-of-the-art topics. We maintain active collaborations with world-leading institutions including Imperial College London, University of Vienna, Sorbonne University, and the European Space Agency. These partnerships provide regular opportunities for international travel, conferences, and research visits.

The research group of Prof. Christoph Hirche at the University of Hannover (Germany) is looking for a motivated PhD student. The group is working on a variety of topics related to quantum information theory, Shannon theory and quantum computation.