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CORR
2002
Springer
91views Education» more  CORR 2002»
13 years 4 months ago
Quantum Random Walks Hit Exponentially Faster
We show that the hitting time of the discrete time quantum random walk on the n-bit hypercube from one corner to its opposite is polynomial in n. This gives the first exponential ...
Julia Kempe
TOMACS
2002
113views more  TOMACS 2002»
13 years 4 months ago
Simulating heavy tailed processes using delayed hazard rate twisting
Consider the problem of estimating the small probability that the maximum of a random walk exceeds a large threshold, when the process has a negative drift and the underlying rand...
Sandeep Juneja, Perwez Shahabuddin
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
13 years 6 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
CRYPTO
2011
Springer
195views Cryptology» more  CRYPTO 2011»
12 years 4 months ago
Time-Lock Puzzles in the Random Oracle Model
Abstract. A time-lock puzzle is a mechanism for sending messages “to the future”. The sender publishes a puzzle whose solution is the message to be sent, thus hiding it until e...
Mohammad Mahmoody, Tal Moran, Salil P. Vadhan