Quantum Computation with Fermions, Bosons, and Qubits

Explore an in-depth technical lecture on quantum simulation frameworks featuring Eleanor Crane from MIT, who presents innovative approaches to simulating bosonic and fermionic matter using hybrid digital systems. Learn about scalable methods for quantum simulation of strongly correlated particles, examining how hybrid digital qubit-boson and qubit-fermion operations can significantly reduce computational overhead compared to traditional qubit-only quantum computers. Discover compilation strategies for hybrid oscillator-qubit computation, measurement techniques for non-local observables, and implementations of fault-tolerant operations using logical fermions. Understand the dramatic improvements in gate complexity and circuit depth achieved through hybrid approaches, including the reduction of Z2 gauge-invariant bosonic hopping term complexity from O(log(S)²) to O(1), and fermionic fast Fourier transform optimization from O(N log(N)) to O(log(N)) in circuit depth. Gain insights into the practical applications of these methods in material science and high-energy physics, presented by an expert who bridges theoretical and experimental quantum computing across international boundaries.