# Quantum Simulation and Fully Gauged-Fixed Hamiltonians

#### Quantum Simulation and Fully Gauged-Fixed Hamiltonians

- Event time: 2:00pm until 3:00pm
- Event date: 3rd April 2024
- Speaker: Dorota Grabowska (Washington University)
- Location: Room 5326, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

Title: Quantum Simulation and Fully Gauged-Fixed Hamiltonians

Abstract: Constrained Hamiltonians are ubiquitous in fundamental physics, as any gauge theory will result in such a Hamiltonian.

Unfortunately, implementing these Hamiltonians on digital quantum computers poses a number of difficulties, both theoretical and

practical. In this talk, I will discuss my recent work on constructing and implementing fully gauged-fixed Hamiltonians for

SU(2) lattice gauge theories onto quantum hardware. In particular, I present a generic method for fixing gauge symmetries, as well as a computational basis that is well-suited for near-continuum physics. The resultant Hamiltonian, while more non-local than the original Hamiltonian without any gauge fixing, is not prohibitively expensive to implement; this goes against the common lore that any gauge-fixed Hamiltonian will suffer from a disastrous growth in non-locality.

### About Particle Physics Theory seminars

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..