منابع مشابه
Generalized Landau-Pollak Uncertainty Relation
The Landau-Pollak uncertainty relation treats a pair of rank one projection valued measures and imposes a restriction on their probability distributions. It gives a nontrivial bound for summation of their maximum values. We give a generalization of this bound (weak version of the Landau-Pollak uncertainty relation). Our generalization covers a pair of positive operator valued measures. A nontri...
متن کاملA Response to Appleton and Pollak
We view Professor Appleton and Professor Pollak’s response to our article, Trading-Off Reproductive Technology and Adoption: Does Subsidizing IVF Decrease Adoption Rates and Should It Matter?, as “complementary” in two senses.1 First, they are extremely generous with their praise for our project, which is particularly gratifying given how important their own work has been in the field. Second, ...
متن کاملSeparability conditions from the Landau-Pollak uncertainty relation
We obtain a collection of necessary ssufficientd conditions for a bipartite system of qubits to be separable sentangledd, which are based on the Landau-Pollak formulation of the uncertainty principle. These conditions are tested and compared with previously stated criteria by applying them to states whose separability limits are already known. Our results are also extended to multipartite and h...
متن کاملThe Steiner ratio conjecture of Gilbert and Pollak is true.
Let P be a set of n points on the euclidean plane. Let Ls(P) and Lm(P) denote the lengths of the Steiner minimum tree and the minimum spanning tree on P, respectively. In 1968, Gilbert and Pollak conjectured that for any P, Ls(P) >/= (radical3/2)Lm(P). We provide an abridged proof for their conjecture in this paper.
متن کاملImproved Bounds for the Graham-Pollak Problem for Hypergraphs
For a fixed r, let fr(n) denote the minimum number of complete r-partite rgraphs needed to partition the complete r-graph on n vertices. The Graham-Pollak theorem asserts that f2(n) = n − 1. An easy construction shows that fr(n) 6 (1 + o(1)) ( n br/2c ) , and we write cr for the least number such that fr(n) 6 cr(1 + o(1)) ( n br/2c ) . It was known that cr < 1 for each even r > 4, but this was ...
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ژورنال
عنوان ژورنال: Physics Today
سال: 2019
ISSN: 0031-9228,1945-0699
DOI: 10.1063/pt.3.4300