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
Gespeichert in:
| Autor*in: |
Du, Jiao [verfasserIn] |
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| Format: |
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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| 700 | 1 | |a Zhang, Jie |4 aut | |
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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 |
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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 |
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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 |
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10.1007/s10255-015-0523-z |
| up_date |
2024-07-04T04:29:38.078Z |
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