6 papers · 1 filter
Symmetries and overparametrization properties of Hamiltonian variational ansatzes for the d lattice gauge theory
Kanta Yamanaka, Takanori Daiza, Katsumi Imaizumi +4
We perform detailed studies of five Hamiltonian variational ansatzes (HVA) based on the Hamiltonian of the d lattice gauge theory. The ansatzes are designed t…
Double Descent in Quantum Kernel Ridge Regression
Kensuke Kamisoyama, Lento Nagano, Koji Terashi
Various classical machine learning models, including linear regression, kernel methods, and deep neural networks, exhibit double descent, in which the test risk peaks near the inte…
Comprehensive Numerical Studies of Barren Plateau and Overparametrization in Variational Quantum Algorithm
Himuro Hashimoto, Akio Nakabayashi, Lento Nagano +4
The variational quantum algorithm (VQA) with a parametrized quantum circuit is widely applicable to near-term quantum computing, but its fundamental issues that limit optimization…
Quantum decision trees with information entropy
Zhelun Li, Koji Terashi
We present a classification algorithm for quantum states, inspired by decision-tree methods. To adapt the decision-tree framework to the probabilistic nature of quantum measurement…
Enforcing exact permutation and rotational symmetries in the application of quantum neural network on point cloud datasets
Zhelun Li, Lento Nagano, Koji Terashi
Recent developments in the field of quantum machine learning have promoted the idea of incorporating physical symmetries in the structure of quantum circuits. A crucial milestone i…
Qudit-Generalization of the Qubit Echo and Its Application to a Qutrit-Based Toffoli Gate
Yutaro Iiyama, Wonho Jang, Naoki Kanazawa +3
The fidelity of certain gates on noisy quantum computers may be improved when they are implemented using more than two levels of the involved transmons. The main impediments to ach…