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» Quantum Algorithmic Entropy
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STOC
2009
ACM
91views Algorithms» more  STOC 2009»
14 years 8 months ago
Inaccessible entropy
We put forth a new computational notion of entropy, which measures the (in)feasibility of sampling high entropy strings that are consistent with a given protocol. Specifically, we...
Iftach Haitner, Omer Reingold, Salil P. Vadhan, Ho...
WDAG
2010
Springer
206views Algorithms» more  WDAG 2010»
13 years 6 months ago
Scalable Quantum Consensus for Crash Failures
We present a scalable quantum algorithm to solve binary consensus in a system of n crash-prone quantum processes. The algorithm works in O(polylog n) time sending O(n polylog n) qu...
Bogdan S. Chlebus, Dariusz R. Kowalski, Michal Str...
IM
2006
13 years 7 months ago
Estimating Entropy and Entropy Norm on Data Streams
We consider the problem of computing information theoretic functions such as entropy on a data stream, using sublinear space. Our first result deals with a measure we call the &quo...
Amit Chakrabarti, Khanh Do Ba, S. Muthukrishnan
TOC
2008
75views more  TOC 2008»
13 years 7 months ago
A Quantum Algorithm for the Hamiltonian NAND Tree
Abstract: We give a quantum algorithm for the binary NAND tree problem in the Hamiltonian oracle model. The algorithm uses a continuous time quantum walk with a running time propor...
Edward Farhi, Jeffrey Goldstone, Sam Gutmann
COMPUTING
2004
87views more  COMPUTING 2004»
13 years 7 months ago
The Generalized Quantum Database Search Algorithm
In this paper we present a generalized description of the Grover operator, employed in a quantum database search algorithm. We will discuss the relation between the original and ge...
Sándor Imre, Ferenc Balázs