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Using an approach inspired from Spin Glasses, we show that the multimodedisordered Dicke model is equivalent to a quantum Hopfield network. We proposevariational ground states for the system at zero temperature, which weconjecture to be exact in the thermodynamic limit. These ground states containthe information on the disordered qubit-photon couplings. These results lead totwo intriguing physical implications. First, once the qubit-photon couplingscan be engineered, it should be possible to build scalable pattern-storingsystems whose dynamics is governed by quantum laws. Second, we argue with anexample how such Dicke quantum simulators might be used as a solver of "hard"combinatorial optimization problems.

Dicke simulators with emergent collective quantum computational abilities