Theory

Peter Bruin is an assistant professor at Leiden University. His research is in (computational) number theory and arithmetic geometry, quantum algorithms, and links between number theory and quantum-safe cryptography.

In our group, we aim at designing new tools, methods and approaches for solving difficult problems in many-body physics. On the process, we get to reconstruct physical models out of elementary ingredients (such as in the construction of tensor network states) or different building blocks (as in the design of a quantum simulator). In the process of reconstructing a theory from scratch, we get to learn a lot about it, to see it from new perspectives, to understand it better and to take it to new directions.

Our leading group is concerned with research in quantum information theory, condensed matter theory and the intersection between the fields.

- We ask what information processing tasks are possible using single quantum systems as carriers of information. We think about the mathematical-theoretical foundations of quantum information, specifically about the theory of entanglement and questions of tomography, but also about ways of realizing topological quantum computing.

Spin is among the frontrunners for the physical realization of quantum bits (qubits) and spin-based devices are at the center of an intense research effort for the creation of quantum protocols. The design of spin systems able to retain their quantum properties up to ambient temperature is one of the fields’ primary goals and represents a sine-qua-non condition for the realization of quantum devices based on magnetic units.

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