Much of the anticipation accompanying the development of a quantum computer relates to its application to simulating dynamics of another quantum system of interest. Here we study the building blocks for simulating quantum spin systems with linear optics. We experimentally generate the eigenstates of the XY Hamiltonian under an external magnetic field. The implemented quantum circuit consists of two CNOT gates, which are realized experimentally by harnessing entanglement from a photon source and by applying a CPhase gate. We tune the ratio of coupling constants and magnetic field by changing local parameters. This implementation of the XY model using linear quantum optics might open the door to the future studies of quenching dynamics using linear optics.
Barz, S., Dakić, B., Lipp, Y. O., Verstraete, F., Whitfield, J. D., & Walther, P. (2015). Linear-optical generation of eigenstates of the two-site XY model. Physical Review X, 5(2). https://doi.org/10.1103/PhysRevX.5.021010