Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Stochastic Generators   We discuss stochastic derivations, stochastic Hamiltonians and the flows that
they generate, algebraic fluctuaion-dissipation theorems, etc., in a language
common to both classical and quantum algebras. It is convenient to define
distinct notions of time-ordered exponentials to take account of the breakdown
of the Leibniz rule in the Ito calculus. We introduce a notion of quantum
Stratonovich calculus and show how it relates to Stratonovich-Dyson time
ordered exponentials. We then use it to demonstrate a natural way to add
stochastic derivations.

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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: physics