[Aspuru-Guzik Group List] Group meeting, Fri May 11, 3:30 PM, Div Room

Hi all, I will give group meeting today (Friday - usual time and place otherwise!), with catering from Taco Bob. Title and abstract below. Best, Ian ----------------- Quantum simulation of electronic structure with linear depth and connectivity As physical implementations of quantum architectures emerge, it is increasingly important to consider the cost of algorithms for practical connectivities between qubits. We show that by using an arrangement of gates that we term the fermionic swap network, we can simulate a Trotter step of the electronic structure Hamiltonian in exactly N depth and with N^2/2 two-qubit entangling gates, and prepare arbitrary Slater determinants in at most N/2 depth, all assuming only a minimal, linearly connected architecture. We conjecture that no explicit Trotter step of the electronic structure Hamiltonian is possible with fewer entangling gates, even with arbitrary connectivities. These results represent significant practical improvements on the cost of all current proposed algorithms for both variational and phase estimation based simulation of quantum chemistry. Additionally, we are investigating the algorithm's performance in the context of universal fault-tolerant quantum devices.