Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boosting photonic quantum computation with moderate nonlinearity   Photonic measurement-based quantum computation (MBQC) is a promising route
towards fault-tolerant universal quantum computing. A central challenge in this
effort is the huge overhead in the resources required for the construction of
large photonic clusters using probabilistic linear-optics gates. Although
strong single-photon nonlinearity ideally enables deterministic construction of
such clusters, it is challenging to realise in a scalable way. Here we explore
the prospects of using moderate nonlinearity (with conditional phase shifts
smaller than $\pi$) to boost photonic quantum computing and significantly
reduce its resources overhead. The key element in our scheme is a nonlinear
router that preferentially directs photonic wavepackets to different output
ports depending on their intensity. As a relevant example, we analyze the
nonlinearity provided by Rydberg blockade in atomic ensembles, in which the
trade-off between the nonlinearity and the accompanying loss is well
understood. We present protocols for efficient Bell measurement and GHZ-state
preparation -- both key elements in the construction of cluster states, as well
as for the CNOT gate and quantum factorization. Given the large number of
entangling operations involved in fault-tolerant MBQC, the increase in success
probability provided by our protocols already at moderate nonlinearity can
result in a dramatic reduction in the required resources.

9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
29
The categories of this paper are: funct-an
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org