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Terminal-Register Certification for Finite-Measurement Learning of Multiscale Quantum States

Structured quantum-state learning not only depends on an expressive ansatz but also on an operational certificate that stays meaningful with finite measurements and imperfect implementation. We study pure one dimensional states learning by an inverse binary multiscale entanglement renormalization ansatz (MERA). In the learning procedure, the qubits removed during coarse graining are controlled coherently and measured together at the terminal register. We confirm that an ideal sequential and terminal measurement schedule delivers the same complete bit string distribution under matched causal operations, while normalized postselection can amplify perturbations inversely with prefix acceptan...

AuthorsBhvain Makwana, Kashyap Patel, Manjunath Joshi et al.
Primary categoryquant-ph
Published27 September 2026
Last updated at source27 September 2026
quant-phcs.LG
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