SODA
2012
ACM
12 years 1 months ago
2012
ACM
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
CRYPTO
2012
Springer
12 years 1 months ago
2012
Springer
We give the first proof of security for an identity-based encryption scheme in the quantum random oracle model. This is the first proof of security for any scheme in this model ...
IACR
2011
12 years 11 months ago
2011
We give direct constructions of pseudorandom function (PRF) families based on conjectured hard lattice problems and learning problems. Our constructions are asymptotically effici...
CORR
2010
Springer
13 years 11 months ago
2010
Springer
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
AIEDAM
2008
13 years 11 months ago
2008
Although it is known that quantum computers can solve certain computational problems exponentially faster than classical computers, only a small number of quantum algorithms have ...
FOCS
1998
IEEE
14 years 3 months ago
1998
IEEE
Sampling is an important primitive in probabilistic and quantum algorithms. In the spirit of communication complexity, given a function f : X
ISAAC
2005
Springer
14 years 5 months ago
2005
Springer
Reducing the error of quantum algorithms is often achieved by applying a primitive called amplitude amplification. Its use leads in many instances to quantum algorithms that are q...
Book
"This book evolved over the past ten years from a set of lecture notes developed while teaching the undergraduate Algorithms course at Berkeley and U.C. San Diego. Our way of ...