Explicit Bounds for Entropy Concentration under Linear Constraints     maximum entropy  concentration  bounds  linear constraints  tolerances       font style='font-size:12px;'> 2011/8/19

Abstract: Consider the construction of an object composed of $m$ parts by distributing $n$ units to those parts. For example, say we are assigning $n$ balls to $m$ boxes. Each assignment results in a ...

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Efficient linear scaling method for computing the thermal conductivity of disordered materials     Efficient linear scaling method  thermal conductivity of disordered materials       font style='font-size:12px;'> 2010/11/18

An efficient order−N real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polyno-mi...

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Variable time amplitude amplification and a faster quantum algorithm for solving systems of linear equations     amplitude  faster quantum algorithm  equations       font style='font-size:12px;'> 2010/11/8

We present two new quantum algorithms. Our first algorithm is a generalization of amplitude amplification to the case when parts of the quantum algorithm that is being amplified stop at different time...

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Quantum algorithms for solving linear differential equations     Quantum algorithms  solving linear  differential equations       font style='font-size:12px;'> 2010/11/5

Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by homogeneous linear differential equations that produce o...

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