Pith Number

pith:HL4XHPRE

pith:2026:HL4XHPREA5YTOPNX3RG3AFGTR2

not attested not anchored not stored refs pending

Unified adiabatic and diabatic excited-state description via the ensemble-variational quantum eigensolver

Benjamin Lasorne, Bruno Senjean, Christophe Soule

A parameterized basis transformation generalizes the ensemble-variational quantum eigensolver to three or more coupled electronic states.

arxiv:2604.17317 v2 · 2026-04-19 · quant-ph

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\pithnumber{HL4XHPREA5YTOPNX3RG3AFGTR2}

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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

The aim of the present paper is to show how and under what conditions this can be generalized to models that involve three coupled electronic states or more. Our approach relies on designing a parameterized basis transformation that can directly be implemented on a quantum computer for further post-treatment.

C2weakest assumption

That an algebraic optimization strategy for the parameters of the basis transformation will reliably produce the target eigenstates and optimally diabatic states for systems with three or more coupled states without prohibitive scaling or convergence issues on quantum hardware.

C3one line summary

The ensemble-variational quantum eigensolver is generalized to three or more coupled states via a quantum-implementable parameterized basis transformation, yielding both adiabatic eigenstates and optimally diabatic states, demonstrated on the first three states of H4+.

Receipt and verification

First computed	2026-05-21T01:04:25.924971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af973be240771373db7dc4db014d38e8580d5c769be36e1b66fac5a631b7479

Aliases

arxiv: 2604.17317 · arxiv_version: 2604.17317v2 · doi: 10.48550/arxiv.2604.17317 · pith_short_12: HL4XHPREA5YT · pith_short_16: HL4XHPREA5YTOPNX · pith_short_8: HL4XHPRE

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HL4XHPREA5YTOPNX3RG3AFGTR2 \
  | 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: 3af973be240771373db7dc4db014d38e8580d5c769be36e1b66fac5a631b7479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48989426f5bbc0f2671bd28198e05339bbb0c4c466541ebd2c818cda558be401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-19T08:16:37Z",
    "title_canon_sha256": "96db0f3d2f8197cc913ec7806fca04a722880cc74ffbe1e54a32a0f08c2b28c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17317",
    "kind": "arxiv",
    "version": 2
  }
}