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113
Voted
COCO
2008
Springer
118views Algorithms» more  COCO 2008»
15 years 5 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
143
Voted
COCO
2008
Springer
129views Algorithms» more  COCO 2008»
15 years 5 months ago
Constraint Logic: A Uniform Framework for Modeling Computation as Games
We introduce a simple game family, called Constraint Logic, where players reverse edges in a directed graph while satisfying vertex in-flow constraints. This game family can be in...
Erik D. Demaine, Robert A. Hearn
114
Voted
COCO
2008
Springer
97views Algorithms» more  COCO 2008»
15 years 5 months ago
Generalized Tsirelson Inequalities, Commuting-Operator Provers, and Multi-prover Interactive Proof Systems
A central question in quantum information theory and computational complexity is how powerful nonlocal strategies are in cooperative games with imperfect information, such as mult...
Tsuyoshi Ito, Hirotada Kobayashi, Daniel Preda, Xi...
124
Voted
COCO
2008
Springer
90views Algorithms» more  COCO 2008»
15 years 5 months ago
The Power of Unentanglement
r of Unentanglement (Extended Abstract) Scott Aaronson MIT Salman Beigi MIT Andrew Drucker MIT Bill Fefferman University of Chicago Peter Shor MIT The class QMA (k), introduced by...
Scott Aaronson, Salman Beigi, Andrew Drucker, Bill...
127
Voted
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 10 months ago
An Almost Optimal Rank Bound for Depth-3 Identities
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
Nitin Saxena, C. Seshadhri