Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A near deterministic linear optical CNOT gate   We show how to construct a near deterministic CNOT using several single
photons sources, linear optics, photon number resolving quantum non-demolition
detectors and feed-forward. This gate does not require the use of massively
entangled states common to other implementations and is very efficient on
resources with only one ancilla photon required. The key element of this gate
are non-demolition detectors that use a weak cross-Kerr nonlinearity effect to
conditionally generate a phase shift on a coherent probe, if a photon is
present in the signal mode. These potential phase shifts can then be measured
using highly efficient homodyne detection.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin