perfect shuffle
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Quantum wavelet packet transform (QWPT) may play an important role in quantum information processing. In this chapter, the authors design quantum circuits of a generalized tensor product (GTP) and a perfect shuffle permutation (PSP). Next, they propose multi-level and multi-dimensional (1D, 2D and 3D) QWPTs, including Haar QWPT (HQWPT), D4 QWPT (DQWPT) based on the periodization extension and their inverse transforms for the first time, and prove the correctness based on the GTP and PSP. Furthermore, they analyze the quantum costs and the time complexities of the proposed QWPTs and obtain precise results. The time complexities of HQWPTs is at most six basic operations on 2n elements, which illustrates high efficiency of the proposed QWPTs.



2020 ◽  
Vol 7 (2) ◽  
pp. 1-23
Author(s):  
Ahmad Salah ◽  
Kenli Li ◽  
Qing Liao ◽  
Mervat Hashem ◽  
Zhiyong Li ◽  
...  


JoTI ◽  
2020 ◽  
Vol 2 (1) ◽  
pp. 16-19
Author(s):  
Danang Aji Pangestu ◽  
Mikhael Kristian ◽  
Aris Gunaryati
Keyword(s):  

Tak jarang kira dihadapkan dengan sebuah data, dalam menyelesaikan sebuah data kita harus memakai sebuah metode agar permasalahan dapat selesai dengan baik, salah satu metodenya yaitu matriks shuffle transpose. Transpose Shuffle  adalah digunakan untuk interkoneksi perfect shuffle dengan n2 pada tiap-tiap processor dan akan menghasilkan data berupa transpose matriks yang akan merubah elemen baros dan kolom. Sama seperti transpose pada umumnya, lambang tanda seperti (A’) atau biasa digunakan  adalah (AT).



Author(s):  
Naveed Mahmud ◽  
Bailey Srimoungchanh ◽  
Bennett Haase-Divine ◽  
Nolan Blankenau ◽  
Annika Kuhnke ◽  
...  
Keyword(s):  


2017 ◽  
Vol 07 (07) ◽  
pp. 01-05 ◽  
Author(s):  
Sayyada Fahmeeda Sultana ◽  
Dr. Shubhangi D C


2015 ◽  
Author(s):  
Junbo Yang ◽  
Suzhi Xu ◽  
Jingjing Zhang ◽  
Wenjun Wu ◽  
Huanyu Lu ◽  
...  




2014 ◽  
Vol 12 ◽  
pp. 68-79
Author(s):  
Junbo Yang ◽  
Zhengzheng Shao ◽  
Kuo Zhou ◽  
Jia Xu ◽  
Ping Xu


2011 ◽  
Author(s):  
Hualiang Zhang ◽  
Wei Zhou ◽  
Junbo Yang ◽  
Xiujian Li ◽  
Jichun Tan


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