Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of wave-particle duality to entropic uncertainty   Interferometers capture a basic mystery of quantum mechanics: a single
particle can exhibit wave behavior, yet that wave behavior disappears when one
tries to determine the particle's path inside the interferometer. This idea has
been formulated quantitively as an inequality, e.g., by Englert and Jaeger,
Shimony, and Vaidman, which upper bounds the sum of the interference visibility
and the path distinguishability. Such wave-particle duality relations (WPDRs)
are often thought to be conceptually inequivalent to Heisenberg's uncertainty
principle, although this has been debated. Here we show that WPDRs correspond
precisely to a modern formulation of the uncertainty principle in terms of
entropies, namely the min- and max-entropies. This observation unifies two
fundamental concepts in quantum mechanics. Furthermore, it leads to a robust
framework for deriving novel WPDRs by applying entropic uncertainty relations
to interferometric models. As an illustration, we derive a novel relation that
captures the coherence in a quantum beam splitter.

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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: cond-mat