دسته بندی:
محاسبات کوانتومی - Quantum-Computing
سال انتشار:
2022
عنوان انگلیسی مقاله:
Quantum Radon Transforms and Their Applications
ترجمه فارسی عنوان مقاله:
تبدیل کوانتومی رادون و کاربردهای آنها
منبع:
ieee - ieee Transactions on Quantum Engineering;2022;3; ;10:1109/TQE:2021:3134648
نویسنده:
GUANGSHENG MA1 , HONGBO LI1,2, AND JIMAN ZHAO3
چکیده انگلیسی:
This article extends the Radon transform, a classical image-processing tool for fast tomography
and denoising, to the quantum computing platform. A new kind of periodic discrete Radon transform
(PDRT), called the quantum periodic discrete Radon transform (QPRT), is proposed. The quantum imple-
mentation of QPRT based on the amplitude encoding method is exponentially faster than the classical PDRT.
We design an efficient quantum image denoising algorithm using QPRT. The simulation results show that
QPRT preserves good denoising capability as in the classical PDRT. Also, a quantum algorithm for IDRT
is proposed, which can be used for fast line detection. Both the quantum extension of IDRT and the line
detection algorithm can provide polynomial speedups over the classical counterparts in certain cases.
keywords: Quantum computing | radon transform.
قیمت: رایگان
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