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» Quantum Algorithmic Entropy
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STOC
2009
ACM
91views Algorithms» more  STOC 2009»
16 years 12 days 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»
14 years 10 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
14 years 11 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»
14 years 11 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»
14 years 11 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