Complex Hadamard matrix
A complex Hadamard matrix is any complex matrix satisfying two conditions:
* unimodularity (the modulus of each entry is unity):
* orthogonality: , where denotes the Hermitian transpose of 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 . belong to this class.
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Complex Hadamard matrix
A complex Hadamard matrix is any complex matrix satisfying two conditions:
* unimodularity (the modulus of each entry is unity):
* orthogonality: , where denotes the Hermitian transpose of 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 . belong to this class.
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A complex Hadamard matrix is a ...... factor), belong to this class.
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A complex Hadamard matrix is a ...... ion by . belong to this class.
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Complex Hadamard matrix
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