Operator-Schmidt decomposition of the quantum Fourier transform on N1 N2
نویسندگان
چکیده
منابع مشابه
Operator-schmidt Decomposition of the Quantum Fourier Transform on C N 1 ⊗ C N 2
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 di...
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The operator-Schmidt decomposition is useful in quantum information theory for quantifying the nonlocality of bipartite unitary operations. We construct a family of unitary operators on C ⊗ C whose operatorSchmidt decompositions are computed using the discrete Fourier transform. As a corollary, we produce unitaries on C ⊗ C with operatorSchmidt number S for every S ∈ {1, ..., 9}. This corollary...
متن کاملSchmidt Decomposition of the Quantum Fourier Transform on C N 1 ⊗ C N 2
Schmidt decompositions of the quantum Fourier transform on C1 ⊗C2 are computed for all N1,N2 ≥ 2. The Schmidt decomposition is shown to be completely degenerate when N1 is a factor of N2 and when N1 > N2. This generalizes previous decompositions, found for N1 = N2 = 2 n [M. A. Nielsen, PhD Thesis, University of New Mexico (1998), Chapter 6; arXiv:quant-ph/0011036], and, more generally, for N1 =...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2003
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/36/24/317