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quant-ph2024★ 4 cited
Direct interpolative construction of the discrete Fourier transform as a matrix product operator
Jielun Chen, Michael Lindsey
The quantum Fourier transform (QFT), which can be viewed as a reindexing of the discrete Fourier transform (DFT), has been shown to be compressible as a low-rank matrix product ope…
quant-ph2024
Simple Diagonal State Designs with Reconfigurable Real-Time Circuits
Yizhi Shen, Katherine Klymko, Eran Rabani +4
Unitary designs are widely used in quantum computation, but in many practical settings it suffices to construct a diagonal state design generated with unitary gates diagonal in the…