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» Quantum Expanders: Motivation and Construction
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TOC
2010
147views Management» more  TOC 2010»
12 years 11 months ago
Quantum Expanders: Motivation and Construction
: We define quantum expanders in a natural way and give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
COCO
2008
Springer
118views Algorithms» more  COCO 2008»
13 years 6 months ago
Quantum Expanders: Motivation and Constructions
: We define quantum expanders in a natural way. We give two constructions of quantum expanders, both based on classical expander constructions. The first construction is algebraic,...
Avraham Ben-Aroya, Oded Schwartz, Amnon Ta-Shma
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 4 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...
FOCS
2007
IEEE
13 years 10 months ago
Finding Disjoint Paths in Expanders Deterministically and Online
We describe a deterministic, polynomial time algorithm for finding edge-disjoint paths connecting given pairs of vertices in an expander. Specifically, the input of the algorith...
Noga Alon, Michael R. Capalbo
CORR
2011
Springer
174views Education» more  CORR 2011»
12 years 10 months ago
Physical expander in Virtual Tree Overlay
Abstract. In this paper, we propose a new construction of constantdegree expanders motivated by their application in P2P overlay networks and in particular in the design of robust ...
Taisuke Izumi, Maria Potop-Butucaru, Mathieu Valer...