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Author:

Jiang, Nan (Jiang, Nan.) | Dang, Yijie (Dang, Yijie.) | Wang, Jian (Wang, Jian.)

Indexed by:

Scopus SCIE

Abstract:

Quantum image processing (QIP) means the quantum-based methods to speed up image processing algorithms. Many quantum image processing schemes claim that their efficiency is theoretically higher than their corresponding classical schemes. However, most of them do not consider the problem of measurement. As we all know, measurement will lead to collapse. That is to say, executing the algorithm once, users can only measure the final state one time. Therefore, if users want to regain the results (the processed images), they must execute the algorithms many times and then measure the final state many times to get all the pixels' values. If the measurement process is taken into account, whether or not the algorithms are really efficient needs to be reconsidered. In this paper, we try to solve the problem of measurement and give a quantum image matching algorithm. Unlike most of the QIP algorithms, our scheme interests only one pixel (the target pixel) instead of the whole image. It modifies the probability of pixels based on Grover's algorithm to make the target pixel to be measured with higher probability, and the measurement step is executed only once. An example is given to explain the algorithm more vividly. Complexity analysis indicates that the quantum scheme's complexity is O(2(n)) in contradistinction to the classical scheme's complexity O(2(2n+2m)), where m and n are integers related to the size of images.

Keyword:

Quantum image matching Quantum computation Quantum image processing

Author Community:

  • [ 1 ] [Jiang, Nan]Beijing Univ Technol, Coll Comp Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Dang, Yijie]Beijing Univ Technol, Coll Comp Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Jian]Beijing Jiaotong Univ, Sch Comp & Informat Technol, Beijing 100044, Peoples R China
  • [ 4 ] [Jiang, Nan]Purdue Univ, Coll Sci, W Lafayette, IN 47905 USA
  • [ 5 ] [Wang, Jian]Purdue Univ, Coll Sci, W Lafayette, IN 47905 USA
  • [ 6 ] [Jiang, Nan]Beijing Key Lab Trusted Comp, Beijing 100124, Peoples R China
  • [ 7 ] [Jiang, Nan]Natl Engn Lab Crit Technol Informat Secur Classif, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wang, Jian]Beijing Jiaotong Univ, Sch Comp & Informat Technol, Beijing 100044, Peoples R China;;[Wang, Jian]Purdue Univ, Coll Sci, W Lafayette, IN 47905 USA

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Source :

QUANTUM INFORMATION PROCESSING

ISSN: 1570-0755

Year: 2016

Issue: 9

Volume: 15

Page: 3543-3572

2 . 5 0 0

JCR@2022

ESI Discipline: PHYSICS;

ESI HC Threshold:175

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 80

SCOPUS Cited Count: 83

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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