A linear MPS tangent-space method for open-boundary systems is derived, and a particle-resolved rank tomography is introduced to diagnose the tangent space's expressivity limits.
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Tailoring tensor network algorithms to the scale hierarchy in quantics representation produces faster, more robust solvers for high-dimensional linear and eigenvalue PDE problems.
A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.
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Excitation spectra and rank tomography of linear matrix product tangent spaces
A linear MPS tangent-space method for open-boundary systems is derived, and a particle-resolved rank tomography is introduced to diagnose the tangent space's expressivity limits.
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Tailoring tensor network techniques to the quantics representation for highly inhomogeneous problems and few body problems
Tailoring tensor network algorithms to the scale hierarchy in quantics representation produces faster, more robust solvers for high-dimensional linear and eigenvalue PDE problems.
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Tensor-Programmable Quantum Circuits for Solving Differential Equations
A quantum solver for PDEs is introduced via flexible matrix product operator representations with mid-circuit measurements and state-dependent norm correction to handle non-unitary dynamics.