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CORR
2011
Springer
156views Education» more  CORR 2011»
13 years 3 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
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
14 years 9 days ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson
CORR
2002
Springer
166views Education» more  CORR 2002»
13 years 8 months ago
Quantum Time-Space Tradeoffs for Sorting
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Hartmut Klauck
COCOON
2005
Springer
14 years 2 months ago
Promised and Distributed Quantum Search
This paper gives a quantum algorithm to search in an set S for a k-tuple satisfying some predefined relation, with the promise that some components of a desired k-tuple are in som...
Shengyu Zhang