An error-mitigated photonic quantum circuit Born machine

Generative machine learning models aim to learn the underlying distribution of the data in order to generate new samples. Quantum circuit Born machines (QCBMs) are a popular choice of quantum generative models, which are particularly well suited to near-term devices since they can be implemented on shallow circuits. Within the framework of photonic quantum computing, we design and simulate a QCBM that can be implemented with linear optics. We show that a newly developed error mitigation technique called recycling mitigation greatly improves the training of QCBMs in realistic scenarios with photon loss.