



01630nas a2200133   4500008004100000245009300041210006900134260001400203490000800217520118300225100002101408700003001429856003701459       2022                        eng d00aMana and thermalization: Probing the feasibility of near-Clifford Hamiltonian simulation0 aMana and thermalization Probing the feasibility of nearClifford   c9/28/20220 v1063 a<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 ``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>1 aSewell, Troy, J.1 aWhite, Christopher, David  uhttps://arxiv.org/abs/2201.12367