Now showing items 1-3 of 3
Nuclear norm of higher-order tensors
(American Mathematical Society, 2016-11)
We establish several mathematical and computational properties of the nuclear norm for higher-order tensors. We show that like tensor rank, tensor nuclear norm is dependent on the choice of base field --- the value of the ...
The tensor rank of tensor product of two three-qubit W states is eight
We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J. Zuiddam that the tensor rank of tensor ...
MOST BOSON QUANTUM STATES ARE ALMOST MAXIMALLY ENTANGLED
(American Mathematical Society, 2018-09-04)
The geometric measure E of entanglement of an m qubit quantum state takes maximal possible value m. In previous work of Gross, Flammia, and Eisert, it was shown that E ≥ m − O(log m) with high probability as m → ∞. They ...