Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal linear Bogoliubov transformations through one-way quantum
  computation   We show explicitly how to realize an arbitrary linear unitary Bogoliubov
transformation (LUBO) on a multi-mode quantum state through homodyne-based
one-way quantum computation. Any LUBO can be approximated by means of a fixed,
finite-sized, sufficiently squeezed Gaussian cluster state that allows for the
implementation of beam splitters (in form of three-mode connection gates) and
general one-mode LUBOs. In particular, we demonstrate that a linear four-mode
cluster state is a sufficient resource for an arbitrary one-mode LUBO.
Arbitrary input quantum states including non-Gaussian states could be
efficiently attached to the cluster through quantum teleportation.

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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th