Bubbles, tensor invariants, trace invariants, local unitary invariants… different names for the same polynomials that we know very well and like to picture in colours. I will talk about how these invariants appear naturally in the study of entanglement in quantum systems, and then discuss the following topics:
- the information contained in the dominant exponent of N of the tensor invariants;
- the information recovered at leading order from local randomized measurements (that is, the tensor HCIZ integral), depending on the ranks of the observables.
In both cases basing the discussion on a toy-model/example: an ensemble of density matrices for which the dominant exponents of the invariants resemble that of random tensor models.
This video was produced by the University of Münster, as part of the workshop From perturbative to non-perturbative QFT.
