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- Complex_Hadamard_matrix abstract "A complex Hadamard matrix is any complexmatrix satisfying two conditions: unimodularity (the modulus of each entry is unity): orthogonality: , where denotes the Hermitian transpose of H and is the identity matrix. The concept is a generalization of the Hadamard matrix. Note that any complex Hadamard matrix can be made into a unitary matrix by multiplying it by conversely, any unitary matrix whose entries all have modulus becomes a complex Hadamard upon multiplication by .Complex Hadamard matrices arise in the study of operator algebras and the theory of quantum computation. Real Hadamard matrices and Butson-type Hadamard matrices form particular cases of complex Hadamard matrices.Complex Hadamard matrices exist for any natural N (compare the real case, in which existence is not known for every N). For instance the Fourier matricesbelong to this class.".
- Complex_Hadamard_matrix wikiPageExternalLink 0811.3930v2.
- Complex_Hadamard_matrix wikiPageExternalLink hadamard.
- Complex_Hadamard_matrix wikiPageID "5157854".
- Complex_Hadamard_matrix wikiPageRevisionID "544380428".
- Complex_Hadamard_matrix hasPhotoCollection Complex_Hadamard_matrix.
- Complex_Hadamard_matrix subject Category:Matrices.
- Complex_Hadamard_matrix type Abstraction100002137.
- Complex_Hadamard_matrix type Arrangement107938773.
- Complex_Hadamard_matrix type Array107939382.
- Complex_Hadamard_matrix type Group100031264.
- Complex_Hadamard_matrix type Matrices.
- Complex_Hadamard_matrix type Matrix108267640.
- Complex_Hadamard_matrix comment "A complex Hadamard matrix is any complexmatrix satisfying two conditions: unimodularity (the modulus of each entry is unity): orthogonality: , where denotes the Hermitian transpose of H and is the identity matrix. The concept is a generalization of the Hadamard matrix.".
- Complex_Hadamard_matrix label "Complex Hadamard matrix".
- Complex_Hadamard_matrix sameAs m.0d5gz_.
- Complex_Hadamard_matrix sameAs Q5156556.
- Complex_Hadamard_matrix sameAs Q5156556.
- Complex_Hadamard_matrix sameAs Complex_Hadamard_matrix.
- Complex_Hadamard_matrix wasDerivedFrom Complex_Hadamard_matrix?oldid=544380428.
- Complex_Hadamard_matrix isPrimaryTopicOf Complex_Hadamard_matrix.