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QIPC: A novel quantum representation model for polar coordinate images
Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses ( h + 4 ) or ( h + 6 ) qubits to store grayscale or color images, respectively, with a total of 2 h pix...
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| Published in: | Quantum information processing 2022-05, Vol.21 (5), Article 174 |
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| Main Authors: | , , , |
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| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c2066-7a4bb3e9bdacea29d27368643016ec26d21475a856cc6e6a2b4a972e4e52cfd93 |
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| container_issue | 5 |
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| container_title | Quantum information processing |
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| creator | Chen, Xiao Liu, Zhihao Chen, Hanwu Xu, Chengzhuo |
| description | Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses
(
h
+
4
)
or
(
h
+
6
)
qubits to store grayscale or color images, respectively, with a total of
2
h
pixels. QIPC increases the storage capacity by a factor of 16 over that of the quantum logarithmic image representation model (QUALPI) and addresses the issue that QUALPI is not suitable for representing color images. In addition, we have studied geometric transformations of polar coordinates, including horizontal flip transformations, vertical flip transformations and orthogonal rotations, and devised a quantum circuit for implementing geometric transformations. Comparing with other quantum image models in the Cartesian coordinate system, the complexity of orthogonal rotation operation implemented in this work is significantly reduced. Furthermore, the simulation results also demonstrate the effectiveness of the quantum circuit. |
| doi_str_mv | 10.1007/s11128-022-03517-6 |
| format | article |
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(
h
+
4
)
or
(
h
+
6
)
qubits to store grayscale or color images, respectively, with a total of
2
h
pixels. QIPC increases the storage capacity by a factor of 16 over that of the quantum logarithmic image representation model (QUALPI) and addresses the issue that QUALPI is not suitable for representing color images. In addition, we have studied geometric transformations of polar coordinates, including horizontal flip transformations, vertical flip transformations and orthogonal rotations, and devised a quantum circuit for implementing geometric transformations. Comparing with other quantum image models in the Cartesian coordinate system, the complexity of orthogonal rotation operation implemented in this work is significantly reduced. Furthermore, the simulation results also demonstrate the effectiveness of the quantum circuit.</description><identifier>ISSN: 1573-1332</identifier><identifier>EISSN: 1573-1332</identifier><identifier>DOI: 10.1007/s11128-022-03517-6</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Data Structures and Information Theory ; Mathematical Physics ; Physics ; Physics and Astronomy ; Quantum Computing ; Quantum Information Technology ; Quantum Physics ; Spintronics</subject><ispartof>Quantum information processing, 2022-05, Vol.21 (5), Article 174</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2066-7a4bb3e9bdacea29d27368643016ec26d21475a856cc6e6a2b4a972e4e52cfd93</citedby><cites>FETCH-LOGICAL-c2066-7a4bb3e9bdacea29d27368643016ec26d21475a856cc6e6a2b4a972e4e52cfd93</cites><orcidid>0000-0003-3449-2499</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Chen, Xiao</creatorcontrib><creatorcontrib>Liu, Zhihao</creatorcontrib><creatorcontrib>Chen, Hanwu</creatorcontrib><creatorcontrib>Xu, Chengzhuo</creatorcontrib><title>QIPC: A novel quantum representation model for polar coordinate images</title><title>Quantum information processing</title><addtitle>Quantum Inf Process</addtitle><description>Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses
(
h
+
4
)
or
(
h
+
6
)
qubits to store grayscale or color images, respectively, with a total of
2
h
pixels. QIPC increases the storage capacity by a factor of 16 over that of the quantum logarithmic image representation model (QUALPI) and addresses the issue that QUALPI is not suitable for representing color images. In addition, we have studied geometric transformations of polar coordinates, including horizontal flip transformations, vertical flip transformations and orthogonal rotations, and devised a quantum circuit for implementing geometric transformations. Comparing with other quantum image models in the Cartesian coordinate system, the complexity of orthogonal rotation operation implemented in this work is significantly reduced. Furthermore, the simulation results also demonstrate the effectiveness of the quantum circuit.</description><subject>Data Structures and Information Theory</subject><subject>Mathematical Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Computing</subject><subject>Quantum Information Technology</subject><subject>Quantum Physics</subject><subject>Spintronics</subject><issn>1573-1332</issn><issn>1573-1332</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kMFKAzEQhoMoWKsv4CkvEE0mu8mut7JYLRRU0HPIZmdLyzapya7g2xutB0-eZmD-f_j4CLkW_EZwrm-TEAIqxgEYl6XQTJ2QmSi1ZEJKOP2zn5OLlHacg1CVmpHly-q5uaML6sMHDvR9sn6c9jTiIWJCP9pxGzzdhy4f-xDpIQw2UhdC7Lbejki3e7vBdEnOejskvPqdc_K2vH9tHtn66WHVLNbMAVeKaVu0rcS67axDC3UHWmaMQnKh0IHqQBS6tFWpnFOoLLSFrTVggSW4vqvlnMDxr4shpYi9OcRMED-N4ObbhDmaMNmE-TFhVC7JYynlsN9gNLswRZ85_2t9Ac1_YTY</recordid><startdate>20220501</startdate><enddate>20220501</enddate><creator>Chen, Xiao</creator><creator>Liu, Zhihao</creator><creator>Chen, Hanwu</creator><creator>Xu, Chengzhuo</creator><general>Springer US</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-3449-2499</orcidid></search><sort><creationdate>20220501</creationdate><title>QIPC: A novel quantum representation model for polar coordinate images</title><author>Chen, Xiao ; Liu, Zhihao ; Chen, Hanwu ; Xu, Chengzhuo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2066-7a4bb3e9bdacea29d27368643016ec26d21475a856cc6e6a2b4a972e4e52cfd93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Data Structures and Information Theory</topic><topic>Mathematical Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Computing</topic><topic>Quantum Information Technology</topic><topic>Quantum Physics</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chen, Xiao</creatorcontrib><creatorcontrib>Liu, Zhihao</creatorcontrib><creatorcontrib>Chen, Hanwu</creatorcontrib><creatorcontrib>Xu, Chengzhuo</creatorcontrib><collection>CrossRef</collection><jtitle>Quantum information processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chen, Xiao</au><au>Liu, Zhihao</au><au>Chen, Hanwu</au><au>Xu, Chengzhuo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>QIPC: A novel quantum representation model for polar coordinate images</atitle><jtitle>Quantum information processing</jtitle><stitle>Quantum Inf Process</stitle><date>2022-05-01</date><risdate>2022</risdate><volume>21</volume><issue>5</issue><artnum>174</artnum><issn>1573-1332</issn><eissn>1573-1332</eissn><abstract>Quantum image representation plays an important role in quantum information processing. In this paper, a bit-plane representation of quantum images in polar coordinates (QIPC) is proposed. It uses
(
h
+
4
)
or
(
h
+
6
)
qubits to store grayscale or color images, respectively, with a total of
2
h
pixels. QIPC increases the storage capacity by a factor of 16 over that of the quantum logarithmic image representation model (QUALPI) and addresses the issue that QUALPI is not suitable for representing color images. In addition, we have studied geometric transformations of polar coordinates, including horizontal flip transformations, vertical flip transformations and orthogonal rotations, and devised a quantum circuit for implementing geometric transformations. Comparing with other quantum image models in the Cartesian coordinate system, the complexity of orthogonal rotation operation implemented in this work is significantly reduced. Furthermore, the simulation results also demonstrate the effectiveness of the quantum circuit.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s11128-022-03517-6</doi><orcidid>https://orcid.org/0000-0003-3449-2499</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1573-1332 |
| ispartof | Quantum information processing, 2022-05, Vol.21 (5), Article 174 |
| issn | 1573-1332 1573-1332 |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_s11128_022_03517_6 |
| source | Springer Nature |
| subjects | Data Structures and Information Theory Mathematical Physics Physics Physics and Astronomy Quantum Computing Quantum Information Technology Quantum Physics Spintronics |
| title | QIPC: A novel quantum representation model for polar coordinate images |
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