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(1) Consider three qubit Fourier Transform. 1.a Write down 8x8 Quantum Fourier matrix (QFT) 1.b Apply the 8x8 Fourier matrix on the state (000).

   

(1) Consider three qubit Fourier Transform. 1.a Write down 8x8 Quantum Fourier matrix (QFT) 1.b Apply the 8x8 Fourier matrix on the state (000). 1000) (1) 1. Apply the 8x8 Fourier matrix on the state ) (1/2) (1010) + (001)), = 1.d Implement QFT on qiskit on the [000) and ) states. (2)

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1a The 8x8 Quantum Fourier matrix QFT can be constructed as follows QFT8 1sqrt8 beginbmatrix 1 1 1 1 ... blur-text-image

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