Pith Number

pith:72TYE7L5

pith:2025:72TYE7L5G2NKVFMFEITCSK6HSA

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Optimal quantum reservoir learning in proximity to universality

Matias Karjula, Moein N. Ivaki, Tapio Ala-Nissila

By replacing a fraction of Clifford gates with conditional-T gates, quantum reservoirs gain tunable learnability and scalability.

arxiv:2510.18623 v3 · 2025-10-21 · quant-ph · cond-mat.dis-nn · cond-mat.stat-mech · physics.comp-ph

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We demonstrate that the learnability and scalability of the reservoir can be continuously controlled by the parameter p, allowing us to navigate from classically tractable to maximally expressive quantum dynamics.

C2weakest assumption

That anti-flatness of states in the large-N limit at fixed circuit depth ratio d/N serves as a reliable witness to concentration of measures that impedes learning, and that performance directly tracks entanglement spectrum statistics and long-range nonstabilizer content.

C3one line summary

A tunable mixing parameter p in random quantum circuits controls the transition from classically simulable to expressive quantum reservoir dynamics via entanglement and nonstabilizer content.

References

92 extracted · 92 resolved · 4 Pith anchors

[1] M. Cerezo, G. Verdon, H.-Y. Huang, L. Cincio, and P. J. Coles, Challenges and opportunities in quantum machine learning, Nature computational science2, 567 (2022) 2022

[2] J. R. McClean, S. Boixo, V. N. Smelyanskiy, R. Bab- bush, and H. Neven, Barren plateaus in quantum neural network training landscapes, Nature communications9, 4812 (2018) 2018

[3] M. Larocca, S. Thanasilp, S. Wang, K. Sharma, J. Bia- monte, P. J. Coles, L. Cincio, J. R. McClean, Z. Holmes, and M. Cerezo, Barren plateaus in variational quantum computing, Nature Reviews Physics7, 2025

[4] Entanglement and Classical Simulability in Quantum Extreme Learning Machines 2025 · arXiv:2509.06873

[5] Dynamic parameterized quantum circuits: expressive and barren-plateau free 2024

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-03T01:05:45.910120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea7827d7d369aaa95852226292bc7902ea407ffd5c713d4d4444200b7cef0cd

Aliases

arxiv: 2510.18623 · arxiv_version: 2510.18623v3 · doi: 10.48550/arxiv.2510.18623 · pith_short_12: 72TYE7L5G2NK · pith_short_16: 72TYE7L5G2NKVFMF · pith_short_8: 72TYE7L5

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/72TYE7L5G2NKVFMFEITCSK6HSA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fea7827d7d369aaa95852226292bc7902ea407ffd5c713d4d4444200b7cef0cd

Canonical record JSON

{
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    "abstract_canon_sha256": "4dbe5fc277bebc64716547d686f1d69c4fc477d8dc8475741282f2deaed3141b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-10-21T13:27:41Z",
    "title_canon_sha256": "a919e6e95f23529b1cd5c03be7b25afd7d97df4dd3979dccda6a3d6397ca6cd6"
  },
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  "source": {
    "id": "2510.18623",
    "kind": "arxiv",
    "version": 3
  }
}