Abstract: Generating photonic graph states includes positioning a plurality of quantum emitters at a plurality of coupling sites associated with a plurality of cavities and initializing a state of a quantum emitter qubit associated with each of the plurality of quantum emitters. Photonic qubits are transmitted toward the plurality of the quantum emitters a first instance transmission for generating an entangling gate between the photonic qubits and the quantum emitter qubit in order to entangle the quantum emitter qubit and the photonic qubits. Following the first instance transmission, photonic qubits are transmitted toward the plurality of quantum emitters in a one second instance transmission for generating a SWAP gate between the photonic qubits and the quantum emitter qubits to map the quantum emitter qubits to photonic qubits.

Abstract: A quantum computing system includes a first resonator couplable to a first alkali atom, a second resonator couplable to a second alkali atom, and lasers for trapping, cooling, and manipulating the first alkali atom and the second alkali atom. Detectors detect a presence of the trapped first alkali atom and the trapped second alkali atom, and a processor is configured to receive at least one input signal from at least one of the detectors, the input signal indicating a presence of the trapped first alkali atom and the trapped second alkali atom, and, based on the received input, control at least some of the lasers to manipulate at least one of the trapped first alkali atom and the trapped second alkali atom to thereby generate photonic qubits using the trapped first alkali atom or generate entanglement between photonic qubits transmitted to the trapped second alkali atom.