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FOCS
1998
IEEE
14 years 2 months ago
The Quantum Communication Complexity of Sampling
Sampling is an important primitive in probabilistic and quantum algorithms. In the spirit of communication complexity, given a function f : X
Andris Ambainis, Leonard J. Schulman, Amnon Ta-Shm...
COCO
1998
Springer
109views Algorithms» more  COCO 1998»
14 years 2 months ago
Complexity Limitations on Quantum Computation
We use the powerful tools of counting complexity and generic oracles to help understand the limitations of the complexity of quantum computation. We show several results for the p...
Lance Fortnow, John D. Rogers
ECCC
2008
107views more  ECCC 2008»
13 years 9 months ago
A Quantum Time-Space Lower Bound for the Counting Hierarchy
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
Dieter van Melkebeek, Thomas Watson
CORR
2011
Springer
156views Education» more  CORR 2011»
13 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
STACS
2005
Springer
14 years 3 months ago
Exact Quantum Algorithms for the Leader Election Problem
Abstract. It is well-known that no classical algorithm can solve exactly (i.e., in bounded time without error) the leader election problem in anonymous networks. This paper propose...
Seiichiro Tani, Hirotada Kobayashi, Keiji Matsumot...