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IJCGA
2006
85views more  IJCGA 2006»
13 years 7 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
JACM
2006
146views more  JACM 2006»
13 years 7 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman
COCO
2009
Springer
119views Algorithms» more  COCO 2009»
14 years 2 months ago
An Approximation Algorithm for Approximation Rank
One of the strongest techniques available for showing lower bounds on quantum communication complexity is the logarithm of the approximation rank of the communication matrix— th...
Troy Lee, Adi Shraibman
COCOON
2008
Springer
13 years 9 months ago
Multi-party Quantum Communication Complexity with Routed Messages
This paper describes a general quantum lower bounding technique for the communication complexity of a function that depends on the inputs given to two parties connected via paths,...
Seiichiro Tani, Masaki Nakanishi, Shigeru Yamashit...
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
13 years 11 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson