



@article {3148,
	title = {Mana and thermalization: Probing the feasibility of near-Clifford Hamiltonian simulation},
	journal = {Physical Review B},
	volume = {106},
	year = {2022},
	month = {9/28/2022},
	abstract = {<p>Quantum hydrodynamics is the emergent classical dynamics governing transport of conserved quantities in generic strongly-interacting quantum systems. Recent matrix product operator methods have made simulations of quantum hydrodynamics in 1+1d tractable, but they do not naturally generalize to 2+1d or higher, and they offer limited guidance as to the difficulty of simulations on quantum computers. Near-Clifford simulation algorithms are not limited to one dimension, and future error-corrected quantum computers will likely be bottlenecked by non-Clifford operations. We therefore investigate the non-Clifford resource requirements for simulation of quantum hydrodynamics using {\textquoteleft}{\textquoteleft}mana\&$\#$39;\&$\#$39;, a resource theory of non-Clifford operations. For infinite-temperature starting states we find that the mana of subsystems quickly approaches zero, while for starting states with energy above some threshold the mana approaches a nonzero value. Surprisingly, in each case the finite-time mana is governed by the subsystem entropy, not the thermal state mana; we argue that this is because mana is a sensitive diagnostic of finite-time deviations from canonical typicality.</p>},
	doi = {10.1103/physrevb.106.125130},
	url = {https://arxiv.org/abs/2201.12367},
	author = {Troy J. Sewell and Christopher David White}
}
