Verified computation of the matrix exponential
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DOI: 10.1007/s10444-018-9609-5
Abstract: Two numerical algorithms for computing interval matrices containing the matrix exponential are proposed. The first algorithm is based on a numerical spectral decomposition and requires only cubic complexity under some assumptions. The second algorithm is… read more here.
Keywords: matrix exponential; verified computation; computation matrix;
Qudit quantum computation on matrix product states with global symmetry
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DOI: 10.1103/physreva.95.032312
Abstract: Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the one-dimensional qubit cluster state, and… read more here.
Keywords: computation; qudit quantum; computation matrix; symmetry ... See more keywords