Schr\"odinger bridges and entropic optimal transport are usually formulated as stochastic interpolation problems between initial and final probability distributions. In their computational form, the bridge potentials are obtained by Sinkhorn or iterative proportional fitting, and are often regarded as auxiliary scaling...
Virtual distillation is a powerful near-term error-mitigation primitive, but it is also a spectral filter: it amplifies the dominant eigenvector component already present in the noisy density matrix. We show that, for a finite-band variational state, this filtering cannot create new concentration inside a set of accept...
Masayuki Ohzeki, Sasuke Kimata, Xin-Wei Lee et al.· 0 citations
Applying this framework to unstructured search, periodicity finding, and matrix arithmetic, Grover's algorithm, the quantum Fourier transform underlying Shor's algorithm, and quantum singular value transformation are reconstructed.
Masayuki Ohzeki· 0 citations
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