Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concrete Categorical Model of a Quantum Circuit Description Language
  with Measurement   In this paper, we introduce dynamic lifting to a quantum circuit-description
language, following the Proto-Quipper language approach. Dynamic lifting allows
programs to transfer the result of measuring quantum data -- qubits -- into
classical data -- booleans -- . We propose a type system and an operational
semantics for the language and we state safety properties. Next, we introduce a
concrete categorical semantics for the proposed language, basing our approach
on a recent model from Rios\&Selinger for Proto-Quipper-M. Our approach is to
construct on top of a concrete category of circuits with measurements a Kleisli
category, capturing as a side effect the action of retrieving classical content
out of a quantum memory. We then show a soundness result for this semantics.

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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con