Sprecher
Beschreibung
Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories, particularly lattice gauge theories, have seen a resurgence of attention. Unfortunately, implementing these theories onto digital quantum computers poses a number of difficulties, both theoretical and practical. Part of the difficulty is that gauge theories naturally result in constrained Hamiltonians, with inherent redundancies or non-localities. Another part of the difficulty is that the formally infinite-dimensional Hilbert space of the full theory must be turned into a finite-dimensional one, while preserving the gauge structure and properties of the target theory. In this talk, I discuss the challenges of implementing phenomenologically-relevant gauge theories onto digital quantum devices, as well as recent progress in developing simulations that can be run efficiently. This talk will highlight the importance of choosing appropriate bases for spanning the desired Hilbert space.
