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» Adversary lower bounds for nonadaptive quantum algorithms
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STOC
1997
ACM
91views Algorithms» more  STOC 1997»
15 years 5 months ago
Lower Bounds for Distributed Coin-Flipping and Randomized Consensus
We examine a class of collective coin- ipping games that arises from randomized distributed algorithms with halting failures. In these games, a sequence of local coin ips is gener...
James Aspnes
ICALP
2001
Springer
15 years 5 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 8 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
STOC
2002
ACM
112views Algorithms» more  STOC 2002»
16 years 1 months ago
Wait-free consensus with infinite arrivals
A randomized algorithm is given that solves the wait-free consensus problem for a shared-memory model with infinitely many processes. The algorithm is based on a weak shared coin ...
James Aspnes, Gauri Shah, Jatin Shah
TOC
2008
75views more  TOC 2008»
15 years 1 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