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

Mean AUDIT scores (SE), adjusted for sex, in young adults grouped by <i>PER2</i> rs56013859 genotype and exposure to negative life events.

<p>Mean AUDIT scores (SE), adjusted for sex, in young adults grouped by <i>PER2</i> rs56013859 genotype and exposure to negative life events.</p

Linear regression models testing the effects of <i>PER2</i> rs56013859 genotype, severe negative life events and their interaction on drinking measures in young adult regular drinkers (n = 131).

<p>Note: All models adjusted for sex and age. Main effects of genotype and severe negative life events were entered in a first step, followed by the interaction term in a second step.</p>1<p>Unstandardized regression coefficients from linear regression (standard errors);</p>2<p>referring to the last 45 days.</p

Demographic and clinical characteristics of young adults by <i>PER2</i> rs56013859 genotype: means and SE (in parenthesis) adjusted for sex.

1<p>“Enriched” family adversity index as proposed by Rutter and Quinton (1977) measuring the presence of 11 adverse family factors covering characteristics of the parents, the partnership, and the family environment during a period of one year prior to birth;</p>2<p>obstetric adversity score counting the presence of 9 adverse conditions during pregnancy, delivery, and postnatal period such as preterm labor, asphyxia or seizures;</p>3<p>referring to the last 45 days;</p>4<p>number of standard drinks, each containing 10–13 g alcohol.</p

Spatiotemporal mRNA expression patterns of <i>PER2</i> in humans.

<p>Data were extracted from Brain Span, Atlas of Developing Human Brain.</p

Regional BOLD changes to monetary > verbal reward by EFA.

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

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 win > no-win trials by EFA.

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