Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mana and thermalization: probing the feasibility of near-Clifford
  Hamiltonian simulation   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'', a resource theory of non-Clifford operations. For
ifinite-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 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.

19
The categories of this paper are: eess
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg