Efficient algorithmic methods for preparing large resource states with neutral atoms

The proposed research plan sets itself the main goal of preparing useful large resource states using quantum systems consisting of neutral atoms. These non-classical resource states are at the core of the full range of quantum technologies, from quantum metrology to quantum error-correction and communications. This main objective will be achieved through the synthesis of two novel techniques developed in distant research subfields, both under the umbrella of Quantum optics and information. On the one hand, we leverage the unique versatility of neutral atom systems, which has allowed these systems to emerge as a leading platform for realizing quantum technologies. On the other hand, we bring in the insights that were recently developed in the field of Quantum Algorithms, which has improved the asymptotic complexity of the most important fault-tolerant algorithms, including Hamiltonian simulation and search algorithms. The collection of these algorithmic insights are called Quantum Signal Processing (QSP). Our approach is novel from two perspectives. First, we will propose QSP as a method for controlling near-term quantum systems and preparing resource states, in contrast to its conventional application in implementing fault-tolerant quantum algorithms. Second, we will develop techniques to make implementations of QSP-based state preparation and communication protocols feasible in near-term systems. The participant's expertise in quantum information and the host's expertise in atomic physics perfectly complement one another to render this ambitious objective possible.The proposed project is embracing an ambitious co-design approach, where the quantum software and the concrete hardware platform are developed in synchrony. The co-design approach is a requirement for developing quantum technologies in near- and intermediate-term, and a natural next step for combining the decades of theoretical and practical insights from designing quantum algorithms and devices.