@techreport{oai:ipsj.ixsq.nii.ac.jp:00233690,
 author = {Xinjian, Yan and Xinwei, Lee and Dongsheng, Cai and Nobuyoshi, Asai and Xinjian, Yan and Xinwei, Lee and Dongsheng, Cai and Nobuyoshi, Asai},
 issue = {16},
 month = {Mar},
 note = {The Variational Quantum Algorithms (VQAs) are a class of quantum algorithms that use a hybrid approach, combining classical and quantum computing techniques. The classical computers are used as quantum loop optimizers to update the circuit parameters dynamically and find out an approximate solution of complex problems. In this study, we conduct a series of comparative experiments with both two VQAs including Variational Quantum Eigensolver (VQE) and Quantum Approximate Optimization Algorithm (QAOA) in addressing Max-Cut problems. As a result, the VQE performs better than QAOA in different graphs. Moreover, VQE can only adopt random parameter initialization, while the QAOA has different parameter initialization strategies. Then, we apply the Light Cone Cancellation (LCC) method to VQE and Muti-angle QAOA (Ma-QAOA). Similar to the previous experiments, VQE also performs better than that Ma-QAOA in different graphs. Even within the constraints of the current Noisy Intermediate-Scale Quantum (NISQ) era, we confirm that the LCC can reduce the number of qubits involved in mathematical operations and minimize the resource consumption of quantum circuits., The Variational Quantum Algorithms (VQAs) are a class of quantum algorithms that use a hybrid approach, combining classical and quantum computing techniques. The classical computers are used as quantum loop optimizers to update the circuit parameters dynamically and find out an approximate solution of complex problems. In this study, we conduct a series of comparative experiments with both two VQAs including Variational Quantum Eigensolver (VQE) and Quantum Approximate Optimization Algorithm (QAOA) in addressing Max-Cut problems. As a result, the VQE performs better than QAOA in different graphs. Moreover, VQE can only adopt random parameter initialization, while the QAOA has different parameter initialization strategies. Then, we apply the Light Cone Cancellation (LCC) method to VQE and Muti-angle QAOA (Ma-QAOA). Similar to the previous experiments, VQE also performs better than that Ma-QAOA in different graphs. Even within the constraints of the current Noisy Intermediate-Scale Quantum (NISQ) era, we confirm that the LCC can reduce the number of qubits involved in mathematical operations and minimize the resource consumption of quantum circuits.},
 title = {Comparison between the performances of General Two-local Ansatzes and QAOA in Max-cut problem},
 year = {2024}
}