Sprecher
Beschreibung
Hamiltonian simulation of non-Abelian gauge theories remain nontrivial due to the local constraint structure governing the principle of gauge invariance. Recently developed Loop-string-hadron framework provides a solution to this problem by solving the local non-Abelian constraints analytically - yielding a complete theory that describes dynamics of manifestly gauge invariant variables, such as Wilson loops, strings and hadrons. The spectrum of this new Hamiltonian matches exactly with the gauge invariant spectrum of the original Kogut-Susskind Hamiltonian. In this talk, I will give a brief overview of loop-string-hadron dynamics for SU(2) gauge theory in 3+1 dimensions and describe ongoing effort towards its generalization for SU(3), citing the hurdles in doing the same. Loop-string-hadron approach has led to developing analog simulation protocols of the same, developing generic and efficient Hamiltonian simulation algorithm using universal quantum computer and performing calculations using a tensor network ansatz.
