  Compared to classical light sources, quantum sources based on N00N states
consisting of $N$ photons achieve an $N$-times higher phase sensitivity, giving
rise to super-resolution. N00N-state creation schemes based on linear optics
and projective measurements only have a success probability $p$ that decreases
exponentially with $N$, e.g. $p=4.4\times 10^{-14}$ for N=20. Feed-forward
improves the scaling but $N$ fluctuates nondeterministically in each attempt.
Schemes based on parametric down-conversion suffer from low production
efficiency and low fidelity. A recent scheme based on atoms in a cavity
combines deterministic time evolution, local unitary operations, and projective
measurements. Here we propose a novel scheme based on the off-resonant
interaction of $N$ photons with four semiconductor quantum dots (QDs) in a
cavity to create N00N states deterministically with $p=1$ and fidelity above
90% for $N\lesssim 60$, without the need of any projective measurement or local
unitary operation. Using our measure we obtain maximum $N$-photon entanglement
$E_N=1$ for arbitrary $N$. Our method paves the way to the miniaturization of
N00N-state sources to the nanoscale regime, with the possibility to integrate
them on a computer chip based on semiconductor materials.
