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TCS
2002
13 years 7 months ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf
COCO
2005
Springer
110views Algorithms» more  COCO 2005»
14 years 1 months ago
Prior Entanglement, Message Compression and Privacy in Quantum Communication
Consider a two-party quantum communication protocol for computing some function f : {0, 1}n × {0, 1}n → Z. We show that the first message of P can be compressed to O(k) classi...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
CC
2010
Springer
117views System Software» more  CC 2010»
13 years 5 months ago
Efficiently Certifying Non-Integer Powers
We describe a randomized algorithm that, given an integer a, produces a certificate that the integer is not a pure power of an integer in expected (log a)1+o(1) bit operations unde...
Erich Kaltofen, Mark Lavin
STOC
2004
ACM
152views Algorithms» more  STOC 2004»
14 years 8 months ago
Exponential separation of quantum and classical one-way communication complexity
Abstract. We give the first exponential separation between quantum and bounded-error randomized one-way communication complexity. Specifically, we define the Hidden Matching Proble...
Ziv Bar-Yossef, T. S. Jayram, Iordanis Kerenidis
STOC
2006
ACM
149views Algorithms» more  STOC 2006»
14 years 8 months ago
Bounded-error quantum state identification and exponential separations in communication complexity
We consider the problem of bounded-error quantum state identification: given either state 0 or state 1, we are required to output `0', `1' or `?' ("don't ...
Dmitry Gavinsky, Julia Kempe, Oded Regev, Ronald d...