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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
14 years 9 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
CORR
2006
Springer
97views Education» more  CORR 2006»
14 years 9 months ago
The one-way communication complexity of the Boolean Hidden Matching Problem
We give a tight lower bound of ( n) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communica...
Iordanis Kerenidis, Ran Raz
STOC
2007
ACM
98views Algorithms» more  STOC 2007»
15 years 9 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek
ICALP
2001
Springer
15 years 2 months ago
Quantum Complexities of Ordered Searching, Sorting, and Element Distinctness
We consider the quantum complexities of the following three problems: searching an ordered list, sorting an un-ordered list, and deciding whether the numbers in a list are all dis...
Peter Høyer, Jan Neerbek, Yaoyun Shi
CORR
2011
Springer
156views Education» more  CORR 2011»
14 years 4 months ago
Impossibility of Succinct Quantum Proofs for Collision-Freeness
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
Scott Aaronson