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Optimal, scalable forward models for computing gravity anomalies
Optimal scalable forward models computing gravity anomalies
2011/8/18
Abstract: We describe three approaches for computing a gravity signal from a density anomaly. The first approach consists of the classical "summation" technique, whilst the remaining two methods solve...
An O(N) Method for Rapidly Computing Periodic Potentials Using Accelerated Cartesian Expansions
Accelerated Cartesian Expansion ACE Fast Multipole Methods Periodic Systems
2011/8/4
Abstract: The evaluation of long-range potentials in periodic, many-body systems arises as a necessary step in the numerical modeling of a multitude of interesting physical problems. Direct evaluation...
Efficient linear scaling method for computing the thermal conductivity of disordered materials
Efficient linear scaling method thermal conductivity of disordered materials
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...
Computational Difficulty of Computing the Density of States
Computational Computing the Density of States
2010/11/5
We study the computational difficulty of computing the ground state degeneracy and the density of states for local Hamiltonians. We show that the difficulty of both problems is exactly captured by a c...
Quantum computing with nearest neighbor interactions and error rates over 1%
Quantum computing nearest neighbor interactions error rates 1%
2010/10/20
Large-scale quantum computation will only be achieved if experimentally implementable quantum
error correction procedures are devised that can tolerate experimentally achievable error rates. We descr...
Entanglement, discord and the power of quantum computing
Entanglement discord power quantum computing
2010/10/19
It is impossible to implement an entangling bipartite quantum operation with local operations and classical communication (LOCC) without a shared entanglement. When the operation is restricted to act ...
Computing singularities of perturbation series
Computing singularities perturbation series
2010/10/20
Many properties of current ab initio approaches to the quantum many-body problem, both perturbational or otherwise, are related to the singularity structure of Rayleigh–Schr¨odinger perturbation theor...
Quantum Computing
Quantum Computing
2010/10/19
Quantum mechanics—the theory describing the fundamental workings of nature—is famously
counterintuitive: it predicts that a particle can be in two places at the same time, and that two remote particl...
A polynomial depth quantum circuit effects, by definition a polylocal unitary transformation of tensor product state space. It is a reasonable belief [Fy][L][FKW] that, at a fine scale, these are prec...