Construction of a class of quantum Boolean functions based on the Hadamard matrix
Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2...
Ausführliche Beschreibung
Autor*in: |
Du, Jiao [verfasserIn] |
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Artikel |
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Sprache: |
Englisch |
Erschienen: |
2015 |
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Schlagwörter: |
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Anmerkung: |
© Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 |
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Übergeordnetes Werk: |
Enthalten in: Acta mathematicae applicatae sinica / English series - Springer Berlin Heidelberg, 2002, 31(2015), 4 vom: Okt., Seite 1013-1020 |
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Übergeordnetes Werk: |
volume:31 ; year:2015 ; number:4 ; month:10 ; pages:1013-1020 |
Links: |
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DOI / URN: |
10.1007/s10255-015-0523-z |
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Katalog-ID: |
OLC2109964693 |
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520 | |a Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. | ||
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10.1007/s10255-015-0523-z doi (DE-627)OLC2109964693 (DE-He213)s10255-015-0523-z-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Du, Jiao verfasserin aut Construction of a class of quantum Boolean functions based on the Hadamard matrix 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. quantum information matrix image quantum boolean function projective matrix Pang, Shan-qi aut Wen, Qiao-yan aut Zhang, Jie aut Enthalten in Acta mathematicae applicatae sinica / English series Springer Berlin Heidelberg, 2002 31(2015), 4 vom: Okt., Seite 1013-1020 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:31 year:2015 number:4 month:10 pages:1013-1020 https://doi.org/10.1007/s10255-015-0523-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 31 2015 4 10 1013-1020 |
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10.1007/s10255-015-0523-z doi (DE-627)OLC2109964693 (DE-He213)s10255-015-0523-z-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Du, Jiao verfasserin aut Construction of a class of quantum Boolean functions based on the Hadamard matrix 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. quantum information matrix image quantum boolean function projective matrix Pang, Shan-qi aut Wen, Qiao-yan aut Zhang, Jie aut Enthalten in Acta mathematicae applicatae sinica / English series Springer Berlin Heidelberg, 2002 31(2015), 4 vom: Okt., Seite 1013-1020 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:31 year:2015 number:4 month:10 pages:1013-1020 https://doi.org/10.1007/s10255-015-0523-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 31 2015 4 10 1013-1020 |
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10.1007/s10255-015-0523-z doi (DE-627)OLC2109964693 (DE-He213)s10255-015-0523-z-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Du, Jiao verfasserin aut Construction of a class of quantum Boolean functions based on the Hadamard matrix 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. quantum information matrix image quantum boolean function projective matrix Pang, Shan-qi aut Wen, Qiao-yan aut Zhang, Jie aut Enthalten in Acta mathematicae applicatae sinica / English series Springer Berlin Heidelberg, 2002 31(2015), 4 vom: Okt., Seite 1013-1020 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:31 year:2015 number:4 month:10 pages:1013-1020 https://doi.org/10.1007/s10255-015-0523-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 31 2015 4 10 1013-1020 |
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10.1007/s10255-015-0523-z doi (DE-627)OLC2109964693 (DE-He213)s10255-015-0523-z-p DE-627 ger DE-627 rakwb eng 510 VZ 31.80$jAngewandte Mathematik bkl Du, Jiao verfasserin aut Construction of a class of quantum Boolean functions based on the Hadamard matrix 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. quantum information matrix image quantum boolean function projective matrix Pang, Shan-qi aut Wen, Qiao-yan aut Zhang, Jie aut Enthalten in Acta mathematicae applicatae sinica / English series Springer Berlin Heidelberg, 2002 31(2015), 4 vom: Okt., Seite 1013-1020 (DE-627)363762353 (DE-600)2106495-7 (DE-576)105283274 0168-9673 nnns volume:31 year:2015 number:4 month:10 pages:1013-1020 https://doi.org/10.1007/s10255-015-0523-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_4277 31.80$jAngewandte Mathematik VZ 106419005 (DE-625)106419005 AR 31 2015 4 10 1013-1020 |
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Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 |
abstractGer |
Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 |
abstract_unstemmed |
Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. The enumeration of this class of quantum Boolean functions is also presented. © Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2109964693</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230502180553.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230502s2015 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10255-015-0523-z</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2109964693</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10255-015-0523-z-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.80$jAngewandte Mathematik</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Du, Jiao</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Construction of a class of quantum Boolean functions based on the Hadamard matrix</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2015</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this study, a new methodology based on the Hadamard matrix is proposed to construct quantum Boolean functions f such that $f = {I_{{2^n}}} - 2{P_{{2^n}}}$, where ${I_{{2^n}}}$ is an identity matrix of order $ 2^{n} $ and ${P_{{2^n}}}$ is a projective matrix with the same order as ${I_{{2^n}}}$. 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