Symmetry Breaking in Geometric Quantum Machine Learning in the Presence of Noise

Autor: Cenk Tüysüz, Su Yeon Chang, Maria Demidik, Karl Jansen, Sofia Vallecorsa, Michele Grossi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: PRX Quantum, Vol 5, Iss 3, p 030314 (2024)
Druh dokumentu: article
ISSN: 2691-3399
DOI: 10.1103/PRXQuantum.5.030314
Popis: Geometric quantum machine learning based on equivariant quantum neural networks (EQNNs) recently appeared as a promising direction in quantum machine learning. Despite encouraging progress, studies are still limited to theory, and the role of hardware noise in EQNN training has never been explored. This work studies the behavior of EQNN models in the presence of noise. We show that certain EQNN models can preserve equivariance under Pauli channels, while this is not possible under the amplitude damping channel. We claim that the symmetry breaks linearly in the number of layers and noise strength. We support our claims with numerical data from simulations as well as hardware up to 64 qubits. Furthermore, we provide strategies to enhance the symmetry protection of EQNN models in the presence of noise.
Databáze: Directory of Open Access Journals