  We argue that the natural way to generalise a tensor network variational
class to a continuous quantum system is to use the Feynman path integral to
implement a continuous tensor contraction. This approach is illustrated for the
case of a recently introduced class of quantum field states known as continuous
matrix-product states (cMPS). As an example of the utility of the path-integral
representation we argue that the state of a dynamically evolving quantum field
admits a natural representation as a cMPS. An argument that all states in Fock
space admit a cMPS representation when the number of variational parameters
tends to infinity is also provided.
