## Work in progress: Non-Linear Conjugate Gradient method on the reduced parameter space of MPS with open boundary conditions

#### Claudia De LazzariUniversity of TrentoMathematics

We apply the algorithm of non-linear conjugate gradient to find an approximation of the ground state for the AKLT model on the variety of MPS with open boundary conditions. We use the minimal number of parameters needed to define the variety. This number corresponds to the dimension of the variety and it is computed as in https://arxiv.org/abs/2101.03148.
In particular, the directions of descent are vectors of this dimension, and we believe this may lead to an improvement of the calculation speed.

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