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

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. Finally, implementations of the scheme are demonstrated to be robust against realistic losses and mode mismatch.Comment: 6 pages main text plus 6 pages Supplementary Material and many figures. Updated to published version. Comments welcom

Regional BOLD changes to monetary > verbal reward by EFA.

<p>* FWE corrected at a threshold of .05, k≥10.</p

MID paradigm.

<p>The task requires a fast button press after a flash, indicated by either a laughing or a scrambled smiley, to receive either monetary or verbal feedback.</p

Regional BOLD changes to <i>verbal</i> win > no-win trials by EFA.

<p>* FWE corrected at a threshold of .05, k≥10.</p

Regional BOLD changes to win > no-win trials by EFA.

<p>* FWE corrected at a threshold of .05, k≥10.</p