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» Quantum lower bounds by quantum arguments
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STOC
2007
ACM
101views Algorithms» more  STOC 2007»
16 years 6 months ago
Toward a general theory of quantum games
We study properties of quantum strategies, which are complete specifications of a given party's actions in any multiple-round interaction involving the exchange of quantum in...
Gus Gutoski, John Watrous
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
TOC
2008
75views more  TOC 2008»
15 years 5 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann
ICALP
2004
Springer
15 years 11 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
FCT
2007
Springer
16 years 4 days ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf