  Quantum links between physically separated modules are important for scaling
many quantum computing technologies. The key metrics are the generation rate
and fidelity of remote Bell pairs. In this work, we propose an experimental
protocol for generating remote entanglement between neutral ytterbium atom
qubits using an optical cavity. By loading a large number of atoms into a
single cavity, and controlling their coupling using only local light shifts, we
amortize the cost of transporting and initializing atoms over many entanglement
attempts, maximizing the entanglement generation rate. A twisted ring cavity
geometry suppresses many sources of error, allowing high fidelity entanglement
generation. We estimate a spin-photon entanglement rate of $5 \times 10^5$
s$^{-1}$, and a Bell pair rate of $1.0\times 10^5$ s$^{-1}$, with an average
fidelity near $0.999$. Furthermore, we show that the photon detection times
provide a significant amount of soft information about the location of errors,
which may be used to improve the logical qubit performance. This approach
provides a practical path to scalable modular quantum computing using neutral
ytterbium atoms.
