Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-Order Asymptotics of Conversions of Distributions and Entangled
  States Based on Rayleigh-Normal Probability Distributions   We discuss the asymptotic behavior of conversions between two independent and
identical distributions up to the second-order conversion rate when the
conversion is produced by a deterministic function from the input probability
space to the output probability space. To derive the second-order conversion
rate, we introduce new probability distributions named Rayleigh-normal
distributions. The family of Rayleigh-normal distributions includes a Rayleigh
distribution and coincides with the standard normal distribution in the limit
case. Using this family of probability distributions, we represent the
asymptotic second-order rates for the distribution conversion. As an
application, we also consider the asymptotic behavior of conversions between
the multiple copies of two pure entangled states in quantum systems when only
local operations and classical communications (LOCC) are allowed. This problem
contains entanglement concentration, entanglement dilution and a kind of
cloning problem with LOCC restriction as special cases.

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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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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: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org