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[](https://SUTD-MDQS.github.io/QILaplace.jl)
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<ahref="#what-this-package-provides">What this package provides</a> •
QILaplace.jl is a Julia package for running Fourier- and Laplace-family transforms with tensor networks on classical hardware. It is designed for large, structured signals where compressed MPS/MPO representations make dense workflows impractical.
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QILaplace.jl is a Julia package for Fourier- and Laplace-style transforms using tensor networks on classical hardware. It is built for large, structured signals, where compressed MPS/MPO representations keep these transforms practical when dense workflows become too expensive.
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The package includes QFT, damping-transform (DT), and full z-transform (zT) pipelines, together with MPS compression, MPO construction, and direct coefficient extraction tools.
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@@ -70,16 +66,17 @@ DT and zT use the same high-level API style as QFT, so moving between Fourier an
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- Build compressed transform operators with `build_qft_mpo`, `build_dt_mpo`, and `build_zt_mpo`
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- Apply through the same contraction interface (`W * ψ`)
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- Keep transform accuracy under explicit truncation control
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- The circuit-compression construction is strictly optimal for these transform circuits.
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