  Tensor networks permit computational and entanglement resources to be
concentrated in interesting regions of Hilbert space. Implemented on NISQ
machines they allow simulation of quantum systems that are much larger than the
computational machine itself. This is achieved by parallelising the quantum
simulation. Here, we demonstrate this in the simplest case; an infinite,
translationally invariant quantum spin chain. We provide Cirq and Qiskit code
that translate infinite, translationally invariant matrix product state (iMPS)
algorithms to finite-depth quantum circuit machines, allowing the
representation, optimisation and evolution arbitrary one-dimensional systems.
Illustrative simulated output of these codes for achievable circuit sizes is
given.
