  We present an overview of a programme to understand the low-energy physics of
quantum Yang-Mills theory from a quantum-information perspective. Our setting
is that of the hamiltonian formulation of pure Yang-Mills theory in the
temporal gauge on the lattice. Firstly, inspired by recent constructions for
$\mathbb{Z}/2\mathbb{Z}$ lattice gauge theory, in particular, Kitaev's toric
code, we describe the gauge-invariant sector of hilbert space by introducing a
primitive quantum gate: the quantum parallel transporter. We then develop a
nonabelian generalisation of laplace interpolation to present an ansatz for the
ground state of pure Yang-Mills theory which interpolates between the weak- and
strong-coupling RG fixed points. The resulting state acquires the structure of
a tensor network, namely, a multiscale entanglement renormalisation ansatz, and
allows for the efficient computation of local observables and Wilson loops.
Various refinements of the tensor network are discussed leading to several
generalisations. Finally, the continuum limit of our ansatz as the lattice
regulator is removed is then described. This paper is intended as an abstract
for an ongoing programme: there are still many open problems.
