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COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 6 months ago
The Multiplicative Quantum Adversary
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progres...
Robert Spalek
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 5 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
JACM
2006
146views more  JACM 2006»
13 years 4 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
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 6 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek
ICQNM
2007
IEEE
131views Chemistry» more  ICQNM 2007»
13 years 11 months ago
Comparison of two bounds of the quantum correlation set
— From a geometric viewpoint, quantum nonlocality between two parties is represented as the difference of two convex bodies, namely the sets of possible results of classical and ...
David Avis, Tsuyoshi Ito