**Fermionic resources for quantum teleportation**

The measurement-based quantum computing (MBQC) model requires the
creation of a massively entangled ``resource state,'' on which
computation proceeds via single-qubit measurements. Although 2D
resource states are believed necessary for universal MBQC, 1D states
can serve as resources for certain tasks as well, such as quantum
teleportation. One possible route to a resource state is to cool a
gapped, two-body system whose ground state encodes the resource. I
will discuss our recent work in this area, in which we investigate
candidate fermionic systems using the Density Matrix Renormalization
Group method and the Matrix Product States description of highly
entangled 1D states.