Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arbitrary-dimensional teleportation of optical number states with linear
  optics   Quantum state teleportation of optical number states is conspicuously absent
from the list of experimental milestones achieved to date. Here we demonstrate
analytically a teleportation scheme with fidelity $100\%$ for optical number
states of arbitrary dimension using linear optical elements only. To this end,
we develop an EPR source to supply Bell-type states for the teleportation, and
show how the same set-up can also be used as a Bell-state analyser (BSA) when
implemented in a time-reversal manner. These two aspects are then brought
together to complete the teleportation protocol in a scheme that can deliver
perfect fidelity, albeit with an efficiency that decays exponentially as the
occupation of the number states increases stepwise. The EPR source and BSA
schemes both consist of two optical axes in a symmetrical V-shape experimental
layout, along which beam-splitters are placed cross-beam fashion at regular
intervals, with their transmittivities treated as variables for which the
values are calculated ad hoc. In particular, we show the full treatment for the
case of qutrit teleportation, and calculate the transmittivity values of the
beam splitters required for teleporting qubits, qutrits, qupentits, quheptits
and qunits. The general case for arbitrary-dimensional number state
teleportation is demonstrated through a counting argument.

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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga