Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local PT symmetry violates the no-signaling principle   Bender et al. have developed PT-symmetric quantum theory as an extension of
quantum theory to non-Hermitian Hamiltonians. We show that when this model has
a local PT symmetry acting on composite systems it violates the non-signaling
principle of relativity. Since the case of global PT symmetry is known to
reduce to standard quantum mechanics, this shows that the PT-symmetric theory
is either a trivial extension or likely false as a fundamental theory.

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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio