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COCO
2001
Springer
154views Algorithms» more  COCO 2001»
14 years 1 months ago
Quantum Algorithms for Element Distinctness
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
Harry Buhrman, Christoph Dürr, Mark Heiligman...
EUROCRYPT
2001
Springer
14 years 1 months ago
How to Convert the Flavor of a Quantum Bit Commitment
In this paper we show how to convert a statistically binding but computationally concealing quantum bit commitment scheme into a computationally binding but statistically concealin...
Claude Crépeau, Frédéric L&ea...
JACM
2006
146views more  JACM 2006»
13 years 8 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman
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
CORR
2010
Springer
312views Education» more  CORR 2010»
13 years 3 months ago
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error) ...
Bo'az Klartag, Oded Regev