10 0 v 3 2 5 A pr 2 00 3 Operator-Schmidt decomposition of the quantum Fourier transform on C N 1 ⊗ C N 2

@inproceedings{Tyson2008100V,
  title={10 0 v 3 2 5 A pr 2 00 3 Operator-Schmidt decomposition of the quantum Fourier transform on C N 1 ⊗ C N 2},
  author={Jon E. Tyson},
  year={2008}
}
Operator-Schmidt decompositions of the quantum Fourier transform on C N1 ⊗ C N2 are computed for all N1,N2 ≥ 2. The decomposition is shown to be completely degenerate when N1 is a factor of N2 and when N1 > N2. The first known special case, N1 = N2 = 2 , was computed by Nielsen in his study of the communication cost of computing the quantum Fourier transform of a collection of qubits equally distributed between two parties. [M. A. Nielsen, PhD Thesis, University of New Mexico (1998), Chapter 6… CONTINUE READING