Proposal for Quantum Simulation via All-Optically Generated Tensor Network States

Understand

We devise an all-optical scheme for the generation of entangled multimode photonic states encoded in temporal modes of light.

• The scheme employs a nonlinear down-conversion process in an optical loop to generate one- and higher-dimensional tensor network states of light.
• We illustrate the principle with the generation of two different classes of entangled tensor network states and report on a variational algorithm to simulate the ground-state physics of many-body systems.
• We demonstrate that state-of-the-art optical devices are capable of determining the ground-state properties of the spin-1/2 Heisenberg model.