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Spin SYK-dot chains: entanglement bound and resource estimates towards a quantum advantage — arXiv:2611.03207

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03207
License (as archived): CC0-1.0
Archived: 2026-11-03T19:01:24.430Z
SHA-256 of the archived text: a5a05c2238f4e42aac7f9faf4d1429ee632f7fcbfd1b02650ee1bf2caa0355b8
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How to cite

Spin SYK-dot chains: entanglement bound and resource estimates towards a quantum advantage — arXiv:2611.03207 — arXiv (en), https://arxiv.org/abs/2611.03207 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_127b60af77fe (Metraipolis archive dc_127b60af77fe, sha256 a5a05c2238f4e42aac7f9faf4d1429ee632f7fcbfd1b02650ee1bf2caa0355b8)

BibTeX

@misc{dc127b60af77fe,
  title = {Spin SYK-dot chains: entanglement bound and resource estimates towards a quantum advantage — arXiv:2611.03207},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03207},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_127b60af77fe; sha256 a5a05c2238f4e42aac7f9faf4d1429ee632f7fcbfd1b02650ee1bf2caa0355b8},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03207. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Ground states of Sachdev-Ye-Kitaev (SYK)-type models are volume-law entangled, which makes them costly both for tensor networks and for quantum hardware simulations. Thus, it remains unclear where quantum hardware could outperform classical simulation of such models. In this work, we study a spin SYK-dot chain, in which q dense SYK dots of p qubits are joined by single ZZ bonds of strength K. The entanglement across any cut is then bounded by floor(p/2) ln 2 plus the inter-dot entanglement, and the two-qubit depth of one Trotter step is set by p alone. A resource estimate shows that a quantum advantage for the ground state could appear only for dots of about 15 to 21 qubits or more. There, a single Trotter step already requires two-qubit error rates of order 10^{-6}, beyond the reach of noisy intermediate-scale quantum (NISQ) hardware. We test the assumptions of this estimate with an imaginary-time matrix product state (MPS) that applies each dot as one block. It agrees with exact diagonalisation at (p, q) = (6, 2). At (5, 2), a variational circuit with the same dot-plus-link layout comes within 3.6% of the exact energy, and noisy simulations show that its fidelity decays as assumed in the resource estimate. At (8, 5), i.e., N = 40 qubits, the energy converges at bond dimension chi = 768, far below the exact value 2^20, and the inter-dot entanglement stays small and is set mainly by K. Out-of-time-order correlators across the links decay on a time scale that shrinks rapidly with |K|. Thus, the dot size p and the inter-dot coupling K together set the entanglement of the chain, and with it where a quantum advantage could appear.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Strongly Correlated Electrons (cond-mat.str-el).
Pagina del lavoro: https://arxiv.org/abs/2611.03207 — 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 2026-11-03T18:19:52.847Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).