Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Interference of Fermions and Bosons   Using tools from representation theory, we derive expressions for the
coincidence rate of partially-distinguishable particles in an interferometry
experiment. Our expressions are valid for either bosons or fermions, and for
any number of particles. In an experiment with $n$ particles the expressions we
derive contain a term for each partition of the integer $n$; Gamas's theorem is
used to determine which of these terms are automatically zero based on the
pairwise level of distinguishability between particles. Most sampling schemes
(such as Boson Sampling) are limited to completely indistinguishable particles;
our work aids in the understanding of systems where an arbitrary level of
distinguishability is permitted. As an application of our work we introduce a
sampling scheme with partially-distinguishable fermions, which we call
Generalized Fermion Sampling.

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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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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: eess
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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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: hep-ph
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The categories of this paper are: hep-lat