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Long-term yields of short-rate models as Feynman-Kac ground states: a variational quantum eigensolver with single-setting energy estimation on two NISQ platforms — arXiv:2611.01855

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.01855
License (as archived): CC0-1.0
Archived: 2026-11-03T19:01:09.019Z
SHA-256 of the archived text: 25962514e9d82cc5c5838e47fc5bfad4fc49f0ee3f4e2d49ddb8780d6ff7536a
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How to cite

Long-term yields of short-rate models as Feynman-Kac ground states: a variational quantum eigensolver with single-setting energy estimation on two NISQ platforms — arXiv:2611.01855 — arXiv (en), https://arxiv.org/abs/2611.01855 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_ffbe8a311305 (Metraipolis archive dc_ffbe8a311305, sha256 25962514e9d82cc5c5838e47fc5bfad4fc49f0ee3f4e2d49ddb8780d6ff7536a)

BibTeX

@misc{dcffbe8a311305,
  title = {Long-term yields of short-rate models as Feynman-Kac ground states: a variational quantum eigensolver with single-setting energy estimation on two NISQ platforms — arXiv:2611.01855},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.01855},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_ffbe8a311305; sha256 25962514e9d82cc5c5838e47fc5bfad4fc49f0ee3f4e2d49ddb8780d6ff7536a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.01855. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We show that the long-term yield of a short-rate model is the ground-state energy of a Schrodinger operator obtained from the Feynman-Kac bond-pricing equation, so that it can be computed by a variational quantum eigensolver (VQE). We treat the Vasicek, Cox-Ingersoll-Ross and Black-Karasinski models; the last has no closed form. Calibrated monthly to the U.S. Treasury curve from 1985 to 2026, the long-term yield follows the 30-year yield with an in-sample correlation of 0.98. The Hamiltonian is stoquastic, so its ground state is positive and the energy can be estimated from computational-basis samples with a single measurement setting. On ibm_cleveland, gate noise appears mainly as bit flips of the high-order qubits. A bit-flip deconvolution with a tail set fixed by a WKB criterion, combined with readout mitigation and zero-noise extrapolation, gives four-qubit estimates within 33-125 bp of the grid ground-state energies for all three models, and within 23-67 bp for Treasury-calibrated parameters. On IonQ Forte Enterprise the same analysis reduces the error in the same proportions. On the same circuits, a Pauli-measurement VQE deviates by 791-1,129 bp, so the single-setting estimator gives about ten times smaller errors with one setting instead of nine. An on-device VQE converges from 4,939 bp to 130 bp.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Computational Engineering, Finance, and Science (cs.CE).
Pagina del lavoro: https://arxiv.org/abs/2611.01855 — 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 2026-11-03T18:19:52.806Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).