Parallel quantum simulation of large systems on small NISQ computers

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