Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Order Decompositions of Ordered Operator Exponentials   We present a decomposition scheme based on Lie-Trotter-Suzuki product
formulae to represent an ordered operator exponential as a product of ordinary
operator exponentials. We provide a rigorous proof that does not use a
time-displacement superoperator, and can be applied to non-analytic functions.
Our proof provides explicit bounds on the error and includes cases where the
functions are not infinitely differentiable. We show that Lie-Trotter-Suzuki
product formulae can still be used for functions that are not infinitely
differentiable, but that arbitrary order scaling may not be achieved.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin