Digital-analog quantum simulations with quantum photonics

Abstract

Over the last few decades, quantum simulations turns out to be a quite suitable solution to the obstacles found when trying to sim ulate many-body quantum systems. Two different approaches have been developed for this purpose. Analog quantum sim ulation (AQS) allows to reach higher capacity to scale for the increasingly complex applications, while digital quantum sim ulation (DQS) provides universality in terms of unitary opera tions broadening that way different possible schemes to simulate. Furthermore, an hybrid approach called digital-analog quantum simulations (DAQS), has stepped in trying to harness the best op portunities of each approach. On the other hand, the prolific de velopment of integrated quantum photonics (IQP) has become a state-of-art technology able to make increasingly tiny structures endowing them with stability and high scalability. We present here a review about the evolution of quantum simulations dis cussing different proposals and physical platforms, in addition to a description of the development of IQP and bulk optics and its possible implementation in quantum information processing. In the last part, we make reference first to different proposals for quantum simulations (DAQS and QS architectures based on photons). Eventually, we end up proposing different photonic DAQS schemes to achieve several types of entanglement. Be tween them, we highlight the acquisition of a genuine tripartite entanglement (GHZ state) with our second scheme.