We introduce a new approach towards generative quantum machine learning significantly reducing the number of hyperparameters and report on a proof-of-principle experiment demonstrating our approach. Our proposal depends on collaboration between the generators and discriminator, thus, we call it quantum synergic generative learning. We present numerical evidence that the synergic approach, in some cases, compares favorably to recently proposed quantum generative adversarial learning. In addition to the results obtained with quantum simulators, we also present experimental results obtained with an actual programmable quantum computer. We investigate how a quantum computer implementing generative learning algorithm could learn the concept of a maximally-entangled state. After completing the learning process, the network is able both to recognize and to generate an entangled state. Our approach can be treated as one possible preliminary step to understanding how the concept of quantum entanglement can be learned and demonstrated by a quantum computer.

Institute of Spintronics and Quantum Information Adam Mickiewicz University 61 614 Poznan Poland

Joint Laboratory of Optics of Palacký University and Institute of Physics of Czech Academy of Sciences 17 Listopadu 12 771 46 Olomouc Czech Republic

Poznan Supercomputing and Networking Center Institute of Bioorganic Chemistry of the Polish Academy of Sciences 61 704 Poznan Poland

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