***ATTENTION Indico Users***
Important changes to user logins are coming to Indico at BNL.
Please see the News section for more information.
Tensor network states (TNSs) have emerged as a powerful versatile
description of strongly correlated quantum many body states. I will
give a short review on TNSs and highlight recent work of ours
in that regard for the description of (effective) one- and two-
dimensional model Hamiltonians in the condensed matter context.
I will then emphasize the strong analogies of algorithms operating
on TNSs with quantum algorithms for quantum computation.
Thus as an outlook, TNSs also offer a possibly powerful framework
for the classical benchmarking and analysis of quantum algorithms
in the noisy intermediate-scale quantum era (NISQ).