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The positivity problem in quantum many-body systems

The positivity problem in quantum many-body systems is the difficulty of representing the positivity of the state with a tensor network.

 

Namely, not enforcing the positivity on the local tensors leads to theoretical and numerical challenges, but enforcing it generally comes at a very high price. In this talk I will explain this problem, mention several results, and mention its connections to other mathematical problems. I will also explain some ideas and perspectives to shed new light on it.

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Speaker: Gemma De las Cuevas