Hardware-Efficient Quantum Computing Using Qudits

Explore a groundbreaking lecture on hardware-efficient quantum computing using qudits presented by Christine Muschik from the University of Waterloo. Delve into the world of particle physics and gauge theories, examining their fundamental role in understanding matter and forces. Discover how quantum computers offer a promising solution to overcome the computational challenges posed by the quantum mechanical nature of gauge theories. Learn about a pioneering quantum computation of two-dimensional lattice quantum electrodynamics using a trapped-ion qudit quantum processor. Understand the advantages of qudits over qubits in encoding quantum information, leading to significant reductions in quantum register size and circuit complexity. Examine the application of a variational quantum eigensolver to find the ground state of the model, observing the interplay between virtual pair creation and quantized magnetic field effects. Investigate the impact of different gauge field truncations by controlling qudit dimensions. Gain insights into the potential of hardware-efficient quantum simulations with qudits in near-term quantum devices and their implications for advancing our understanding of fundamental physics.