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TCS
2002
15 years 5 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
188
Voted
COCO
2005
Springer
110views Algorithms» more  COCO 2005»
15 years 11 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
STOC
2004
ACM
152views Algorithms» more  STOC 2004»
16 years 5 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»
16 years 5 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...
NIPS
2000
15 years 6 months ago
Learning Continuous Distributions: Simulations With Field Theoretic Priors
Learning of a smooth but nonparametric probability density can be regularized using methods of Quantum Field Theory. We implement a field theoretic prior numerically, test its eff...
Ilya Nemenman, William Bialek