Generation of arbitrary all-photonic graph states from quantum emitters

Understand

We present protocols to generate arbitrary photonic graph states from quantum emitters that are in principle deterministic.

• We focus primarily on two-dimensional cluster states of arbitrary size due to their importance for measurement-based quantum computing.
• Our protocols for these and many other types of two-dimensional graph states require a linear array of emitters in which each emitter can be controllably pumped, rotated about certain axes, and entangled with its nearest neighbors.
• We show that an error on one emitter produces a localized region of errors in the resulting graph state, where the size of the region is determined by the coordination number of the graph.