Abstract: As universal quantum computers move from theoretical devices towards concrete

realizations, albeit still quite experimental, there is a lot of interest in

understanding whether outstanding problems in nuclear physics, like real-time

dynamics and bulk properties of nuclear matter, could be solved using these 

machines. For these applications we need to represent in hardware quantum field 

theories for both fermionic and bosonics degrees of freedom. Discretized fermionic 

fields can be represented fully since they map naturally onto qbits. On the other 

hand bosonic degrees of freedom--which even for discretized fields require an 

infinite dimensional Hilbert space at each site--require a truncation. In this 

talk I discuss two directions we investigated to address this problem: using 

discrete subsets to represent gauge degrees of freedom, or truncations in a dual 

space that that preserve the original symmetries of the theory. As test-cases 

for these ideas we use pure-gauge QCD and the sigma-model.