Chip-scale simulations in a quantum-correlated synthetic space

An efficient simulator for quantum systems is one of the original goals efforts to develop a computer. In recent years, synthetic dimensions in photonics have emerged as potentially powerful approach simulation that free from constraint geometric dimensionality. Here we demonstrate quantum-correlated crystal based on coherently controlled broadband frequency comb produced chip-scale, dynamically modulated lithium niobate microresonator. The time–frequency entanglement inherent with modes greatly extends dimensionality space, creating massive, nearly 400 × lattice electrically tunability. With such system, are able utilize evolution correlations between entangled photons perform series simulations, demonstrating random walks, Bloch oscillations and multilevel Rabi time correlation space (demonstrated 5 mode subspace). device combines simplicity monolithic nanophotonic architecture, high on-chip coherent control, which opens up an avenue towards chip-scale implementation large-scale analogue computation domain. A special-purpose simulator, microresonator, demonstrated, opening paths