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IAMP – EMS Summer School in Mathematical Physics 2021
13 September, 2021 - 17 September, 2021
When many quantum particles interact, they can organize themselves into highly entangled states with unexpected properties that transcend those of the individual constituents. The description of those states and their properties is typically rather challenging – not only from a mathematical point of view. In the last 15 years, concepts and tools from quantum information theory (QIT) have proven highly useful in investigating such systems. This new perspective aims to characterize and classify the complexity in large quantum systems.
Conversely, many-body quantum systems provide the natural testing grounds for further ideas in QIT. Specific examples for the interplay of concepts and methods between QIT and many-body quantum systems include:
- Entanglement entropies as quantities measuring how far many-body quantum states deviate from product states.
- Tensor network representations of eigenstates of quantum spin systems as a tool to describe and establish in particular their low-energy properties.
- Classification of topologically ordered quantum phases and their link to quantum error correction codes.