Quantum Image Encryption Algorithm Based on NASS
This paper proposes a quantum image encryption algorithm based on n -qubit normal arbitrary superposition state (NASS) by using the basic scheme of quantum transformation and random phase transformation. According to theoretical analysis and experimental simulation on MATLAB system, we find that key...
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| Veröffentlicht in: | International journal of theoretical physics 2018-12, Vol.57 (12), p.3745-3760 |
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| container_issue | 12 |
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| container_title | International journal of theoretical physics |
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| creator | Li, Hai-Sheng Li, Chunyu Chen, Xiao Xia, Hai-ying |
| description | This paper proposes a quantum image encryption algorithm based on
n
-qubit normal arbitrary superposition state (NASS) by using the basic scheme of quantum transformation and random phase transformation. According to theoretical analysis and experimental simulation on MATLAB system, we find that key space is an important factor of encryption and decryption algorithm. When the secret key space is large, it is difficult for the attacker to crack the encrypted information. Based on this finding, we perform 2
n
+ 4 times phase transformation in the encryption process. And each transformation is random, which increases the difficulty of decryption. So there are a total of 2
n
+ 4 randomly transformed keys. In this paper, we design the implementation circuit of random phase transformation, and because the real quantum computer is not in our grasp, now we use MATLAB software to simulate grayscale image and color image encryption algorithm in classic computer, respectively. And the histogram, complexity and correlation are analyzed. Study shows that the proposed encryption algorithm is valid. |
| doi_str_mv | 10.1007/s10773-018-3887-z |
| format | Article |
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n
-qubit normal arbitrary superposition state (NASS) by using the basic scheme of quantum transformation and random phase transformation. According to theoretical analysis and experimental simulation on MATLAB system, we find that key space is an important factor of encryption and decryption algorithm. When the secret key space is large, it is difficult for the attacker to crack the encrypted information. Based on this finding, we perform 2
n
+ 4 times phase transformation in the encryption process. And each transformation is random, which increases the difficulty of decryption. So there are a total of 2
n
+ 4 randomly transformed keys. In this paper, we design the implementation circuit of random phase transformation, and because the real quantum computer is not in our grasp, now we use MATLAB software to simulate grayscale image and color image encryption algorithm in classic computer, respectively. And the histogram, complexity and correlation are analyzed. Study shows that the proposed encryption algorithm is valid.</description><identifier>ISSN: 0020-7748</identifier><identifier>EISSN: 1572-9575</identifier><identifier>DOI: 10.1007/s10773-018-3887-z</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Algorithms ; Circuit design ; Computer simulation ; Correlation analysis ; Data encryption ; Elementary Particles ; Encryption ; Histograms ; Mathematical and Computational Physics ; Matlab ; Phase transitions ; Physics ; Physics and Astronomy ; Quantum computers ; Quantum Field Theory ; Quantum Physics ; Qubits (quantum computing) ; Superposition (mathematics) ; Theoretical</subject><ispartof>International journal of theoretical physics, 2018-12, Vol.57 (12), p.3745-3760</ispartof><rights>Springer Science+Business Media, LLC, part of Springer Nature 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-b5131a5d4adf2d1065293e315ab86317bf135bae86c65576e5073dac2f4d9b373</citedby><cites>FETCH-LOGICAL-c316t-b5131a5d4adf2d1065293e315ab86317bf135bae86c65576e5073dac2f4d9b373</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10773-018-3887-z$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10773-018-3887-z$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Li, Hai-Sheng</creatorcontrib><creatorcontrib>Li, Chunyu</creatorcontrib><creatorcontrib>Chen, Xiao</creatorcontrib><creatorcontrib>Xia, Hai-ying</creatorcontrib><title>Quantum Image Encryption Algorithm Based on NASS</title><title>International journal of theoretical physics</title><addtitle>Int J Theor Phys</addtitle><description>This paper proposes a quantum image encryption algorithm based on
n
-qubit normal arbitrary superposition state (NASS) by using the basic scheme of quantum transformation and random phase transformation. According to theoretical analysis and experimental simulation on MATLAB system, we find that key space is an important factor of encryption and decryption algorithm. When the secret key space is large, it is difficult for the attacker to crack the encrypted information. Based on this finding, we perform 2
n
+ 4 times phase transformation in the encryption process. And each transformation is random, which increases the difficulty of decryption. So there are a total of 2
n
+ 4 randomly transformed keys. In this paper, we design the implementation circuit of random phase transformation, and because the real quantum computer is not in our grasp, now we use MATLAB software to simulate grayscale image and color image encryption algorithm in classic computer, respectively. And the histogram, complexity and correlation are analyzed. Study shows that the proposed encryption algorithm is valid.</description><subject>Algorithms</subject><subject>Circuit design</subject><subject>Computer simulation</subject><subject>Correlation analysis</subject><subject>Data encryption</subject><subject>Elementary Particles</subject><subject>Encryption</subject><subject>Histograms</subject><subject>Mathematical and Computational Physics</subject><subject>Matlab</subject><subject>Phase transitions</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum computers</subject><subject>Quantum Field Theory</subject><subject>Quantum Physics</subject><subject>Qubits (quantum computing)</subject><subject>Superposition (mathematics)</subject><subject>Theoretical</subject><issn>0020-7748</issn><issn>1572-9575</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAURYMoWEd_gLuC6-h7SdOkyzqMOjAoMroOaZvWDtMPk3Yx8-vtUMGVqweXe-6DQ8gtwj0CyAePICWngIpypSQ9npEAhWQ0EVKckwCAAZUyUpfkyvsdACQQqYDA-2jaYWzCdWMqG67a3B36oe7aMN1XnauHryZ8NN4W4RS9ptvtNbkozd7bm9-7IJ9Pq4_lC928Pa-X6YbmHOOBZgI5GlFEpihZgRALlnDLUZhMxRxlViIXmbEqzmMhZGwFSF6YnJVRkWRc8gW5m3d7132P1g96142unV5qhizCBBVGUwvnVu46750tde_qxriDRtAnMXoWoycx-iRGHyeGzYyfum1l3d_y_9APU-NkQQ</recordid><startdate>20181201</startdate><enddate>20181201</enddate><creator>Li, Hai-Sheng</creator><creator>Li, Chunyu</creator><creator>Chen, Xiao</creator><creator>Xia, Hai-ying</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20181201</creationdate><title>Quantum Image Encryption Algorithm Based on NASS</title><author>Li, Hai-Sheng ; Li, Chunyu ; Chen, Xiao ; Xia, Hai-ying</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-b5131a5d4adf2d1065293e315ab86317bf135bae86c65576e5073dac2f4d9b373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Algorithms</topic><topic>Circuit design</topic><topic>Computer simulation</topic><topic>Correlation analysis</topic><topic>Data encryption</topic><topic>Elementary Particles</topic><topic>Encryption</topic><topic>Histograms</topic><topic>Mathematical and Computational Physics</topic><topic>Matlab</topic><topic>Phase transitions</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum computers</topic><topic>Quantum Field Theory</topic><topic>Quantum Physics</topic><topic>Qubits (quantum computing)</topic><topic>Superposition (mathematics)</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Hai-Sheng</creatorcontrib><creatorcontrib>Li, Chunyu</creatorcontrib><creatorcontrib>Chen, Xiao</creatorcontrib><creatorcontrib>Xia, Hai-ying</creatorcontrib><collection>CrossRef</collection><jtitle>International journal of theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Hai-Sheng</au><au>Li, Chunyu</au><au>Chen, Xiao</au><au>Xia, Hai-ying</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quantum Image Encryption Algorithm Based on NASS</atitle><jtitle>International journal of theoretical physics</jtitle><stitle>Int J Theor Phys</stitle><date>2018-12-01</date><risdate>2018</risdate><volume>57</volume><issue>12</issue><spage>3745</spage><epage>3760</epage><pages>3745-3760</pages><issn>0020-7748</issn><eissn>1572-9575</eissn><abstract>This paper proposes a quantum image encryption algorithm based on
n
-qubit normal arbitrary superposition state (NASS) by using the basic scheme of quantum transformation and random phase transformation. According to theoretical analysis and experimental simulation on MATLAB system, we find that key space is an important factor of encryption and decryption algorithm. When the secret key space is large, it is difficult for the attacker to crack the encrypted information. Based on this finding, we perform 2
n
+ 4 times phase transformation in the encryption process. And each transformation is random, which increases the difficulty of decryption. So there are a total of 2
n
+ 4 randomly transformed keys. In this paper, we design the implementation circuit of random phase transformation, and because the real quantum computer is not in our grasp, now we use MATLAB software to simulate grayscale image and color image encryption algorithm in classic computer, respectively. And the histogram, complexity and correlation are analyzed. Study shows that the proposed encryption algorithm is valid.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10773-018-3887-z</doi><tpages>16</tpages></addata></record> |
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| subjects | Algorithms Circuit design Computer simulation Correlation analysis Data encryption Elementary Particles Encryption Histograms Mathematical and Computational Physics Matlab Phase transitions Physics Physics and Astronomy Quantum computers Quantum Field Theory Quantum Physics Qubits (quantum computing) Superposition (mathematics) Theoretical |
| title | Quantum Image Encryption Algorithm Based on NASS |
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