Alternating cross interpolation performs elementwise operations on tensor trains in O(χ³) time with error control, improving on the standard O(χ⁴) scaling when output ranks are controlled.
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A tensor-train approximation of the bath influence functional enables deterministic, linearly scaling numerical quadrature for the inchworm method in open quantum system simulations.
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Fast elementwise operations on tensor trains with alternating cross interpolation
Alternating cross interpolation performs elementwise operations on tensor trains in O(χ³) time with error control, improving on the standard O(χ⁴) scaling when output ranks are controlled.
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Accelerated Inchworm Method with Tensor-Train Bath Influence Functional
A tensor-train approximation of the bath influence functional enables deterministic, linearly scaling numerical quadrature for the inchworm method in open quantum system simulations.