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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...
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...
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...
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...
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...
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 ...
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...

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