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Quantum Representation Learning Beyond Pairwise Fidelity — arXiv:2609.01797

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.01797
License (as archived): CC0-1.0
Archived: 2026-10-17T06:05:28.283Z
SHA-256 of the archived text: 56fcfc9a190d26ccedc9d46aeb90a1890480437d91971ba4ec4fd11a1343e158
Stable URL of this page: https://metraipolis.com/documento/dc_2c8cf3d02ca0

How to cite

Quantum Representation Learning Beyond Pairwise Fidelity — arXiv:2609.01797 — arXiv (en), https://arxiv.org/abs/2609.01797 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2c8cf3d02ca0 (Metraipolis archive dc_2c8cf3d02ca0, sha256 56fcfc9a190d26ccedc9d46aeb90a1890480437d91971ba4ec4fd11a1343e158)

BibTeX

@misc{dc2c8cf3d02ca0,
  title = {Quantum Representation Learning Beyond Pairwise Fidelity — arXiv:2609.01797},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.01797},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2c8cf3d02ca0; sha256 56fcfc9a190d26ccedc9d46aeb90a1890480437d91971ba4ec4fd11a1343e158},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.01797. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quantum contrastive, metric, and self-supervised learning often expose encoded quantum states to the learner through transition probabilities, especially fidelity. Quantum states are known to possess higher-order relational invariants, but their consequences for learned representations remain unclear. Here we show that a transition-probability-only learning interface can possess exact continuous blind directions in certain quantum-state families. We recover this missing information with a batch operator, built from coherent overlap amplitudes and negative masking, where its second moment $q_-$ retains four-state interference. Moreover, $q_-$ is directly measurable through two-copy interference and can enter variational learning via methods like parameter shift. In relational quartets derived from toric-code and double-semion states, this fidelity-blind signal encodes inequivalent modular data despite identical pairwise fidelities. Finally, in a four-photon benchmark with preparation drift, augmenting all six pairwise fidelities at two orthogonal probes with the corresponding normalized $q_-$ reduces the mean out-of-distribution phase error by $86\%$ at equal total shot budget. These results establish multistate relational observables as measurable, trainable, and physically consequential signals for quantum representation learning beyond pairwise fidelity.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-03 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.01797 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T05:51:04.208Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-03?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).