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Hybrid classical-quantum linear solver using Noisy Intermediate-Scale Quantum machines
Chih-Chieh Chen1, Shiue-Yuan Shiau2, Ming-Feng Wu3
1Electronic and Optoelectronic System Research Laboratories, Industrial Technology Research Institute, Hsinchu, 31057, Taiwan. helloqworld2019@gmail.com.
Abstract:
We propose a realistic hybrid classical-quantum linear solver to solve systems of linear equations of a specific type, and demonstrate its feasibility with Qiskit on IBM Q systems. This algorithm makes use of quantum random walk that runs in [Formula: see text](N log(N)) time on a quantum circuit made of [Formula: see text](log(N)) qubits. The input and output are classical data, and so can be easily accessed. It is robust against noise, and ready for implementation in applications such as machine learning.
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