Gauge-invariant Trotterization via shear transformations
| Date/Time: | Wednesday, 17 Feb 2021 - Friday, 19 Feb 2021 |
|---|---|
| Location: | On Zoom - contact Prof. Srimoyee Sen (srimoyee@iastate.edu) for the Zoom ID |
| Contact: | |
| Phone: | 515-294-5440 |
| Channel: | College of Liberal Arts and Sciences |
| Actions: | Download iCal/vCal | Email Reminder |
Lattice gauge theories are typically described in terms of local, redundant degrees of freedom, supplemented by appropriate gauge constraints, i.e. Gauss's law or its generalizations. The Hamiltonian is then a sum of gauge invariant operators acting on those degrees of freedom. Trotter-Suzuki decompositions employed for digital quantum simulation, however, do not necessarily implement any one of those individual operators exactly -- leading to the possible systematic breaking of gauge constraints. I will discuss how shear transformations in the space of electric quantum numbers of Abelian gauge theories facilitate Trotter-Suzuki approximation of the gauge invariant operators that exactly preserves the gauge constraints.