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Quantum Circuit Learning With Parameterized Boson Sampling

delete2021-01-01
delete15
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OA
AI
J
Jinjing Shi
Y
Yanyan Feng
R
Ronghua Shi
S
Shichao Zhang *
DOI:10.1109/TKDE.2021.3095103delete
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摘要

摘要

En 中文
A quantum circuit learning approach is studied to carry out the fast-fitting of Gaussian functions. First, a parameterized structure is designed for quantum circuits based on the boson sampling model. And then, the training procedure of exploiting gradient based optimizations is presented to iteratively update the gradient of the loss function concerning circuit parameters. For efficiency, two kinds of circuit loss, the kernel maximum mean discrepancy and the mean absolute error, are used in the training procedure, which are both competent to achieve quantum circuit learning well. It is significant that the two circuit losses assist in reducing the variance to 2.54 x 10(-6 )and 6.91 x 10(-6), respectively. Finally, a kind of quantum circuit fixed structure is developed with the boson sampling model that can decrease the model complexity as the circuit depth d grows. Sets of experiments have been conducted to evaluate the proposed quantum circuit learning scheme, and demonstrate that our parameterized approach is efficient and promising, and it is worth looking forward to solving practical application problems with quantum computers since valid quantum circuits for Gaussian function fast-fitting can be designed indeed.
Keyword:
Quantum circuit
Integrated circuit modeling
Computers
Computational modeling
Task analysis
Logic gates
Data models
Quantum computing
hybrid quantum-classical approach
quantum circuit learning
boson sampling
parameterized boson sampling
parameterized quantum circuit
gaussian function fitting
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期刊

IEEE Transactions on Knowledge and Data Engineering 封面图
IEEE Transactions on Knowledge and Data Engineering
IF:
10.4
论文数:
6.9K
被引数:
3.2W

机构

C
Central South University
学者数:
10.0W
论文数: 7.2W
被引数: 10.9W
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