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Quantum Deep Equilibrium Models by Schleich, Philipp; Skreta, Marta; Kristensen, Lasse B.; Vargas-Hernández, Rodrigo A.; Aspuru-Guzik, Alán is a scholarly article available to read on EtoBox.

What is Quantum Deep Equilibrium Models about?

The feasibility of variational quantum algorithms, the most popular correspondent of neural networks on noisy, near-term quantum hardware, is highly impacted by the circuit depth of the involved parametrized quantum circuits (PQCs). Higher depth increases expressivity, but also results in a detrimental accumulation of errors. Furthermore, the number of parameters involved in the PQC significantly influences the performance through the necessary number of measurements to evaluate gradients, which scales linearly with the number of parameters. Motivated by this, we look at deep equilibrium models (DEQs), which mimic an infinite-depth, weight-tied network using a fraction of the memory by employing a root solver to find the fixed points of the network. In this work, we present Quantum Deep Equilibrium Models (QDEQs): a training paradigm that learns parameters of a quantum machine learning model given by a PQC using DEQs. To our knowledge, no work has yet explored the application of DEQs to QML models. We apply QDEQs to find the parameters of a quantum circuit in two settings: the first involves classifying MNIST-4 digits with 4 qubits; the second extends it to 10 classes of MNIST, Fas

Author

Schleich, Philipp; Skreta, Marta; Kristensen, Lasse B.; Vargas-Hernández, Rodrigo A.; Aspuru-Guzik, Alán

Published

2024

Language

EN