Pith Number

pith:45UX6NFO

pith:2026:45UX6NFOJD62Z5MQ5R2MFV2GW3

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Quasilinear evolution versus von Neumann selective measurement

Jakub Rembieli\'nski, Karol {\L}awniczak

A nonlinear generalization of the von Neumann equation replaces instantaneous projection with continuous quasilinear evolution in selective quantum measurements.

arxiv:2605.13756 v1 · 2026-05-13 · quant-ph

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Claims

C1strongest claim

We introduce a new form of quantum selective measurement in which the von Neumann projection postulate is replaced by quasilinear evolution, governed by a nonlinear generalization of the von Neumann equation... it preserves the equivalence of quantum ensembles and, consequently, satisfies the no-signalling principle.

C2weakest assumption

The specific nonlinear generalization of the von Neumann equation is assumed to preserve ensemble equivalence and no-signaling without additional constraints or post-selection, as stated in the abstract without derivation details.

C3one line summary

Quasilinear evolution replaces von Neumann projection for selective measurements, providing continuous state reduction without collapse while satisfying no-signaling and Born rule.

References

55 extracted · 55 resolved · 4 Pith anchors

[1] Quasilinear evolution versus von Neumann selective measurement 2026 · arXiv:2605.13756

[2] The following figure presents the state dy- namics under the scaleg0 much lower and much higher than in previous examples

[3] Figure 7 presents the state dynamics for two orientations ofg

[4] In the case of the inverted Morse potential, the shape parameterκmay be adjusted 2024

[5] J. Rembieliński and P. Caban, Physical Review Research 2, 012027 (2020) 2020

Cited by

3 papers in Pith

Quantum selective measurement as a quasilinear evolution

Quasilinear evolution versus von Neumann selective measurement

Receipt and verification

First computed	2026-05-18T02:44:16.337961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7697f34ae48fdacf590ec74c2d746b6ddcd4d2e2d639e0eb064546f568fd7a8

Aliases

arxiv: 2605.13756 · arxiv_version: 2605.13756v1 · doi: 10.48550/arxiv.2605.13756 · pith_short_12: 45UX6NFOJD62 · pith_short_16: 45UX6NFOJD62Z5MQ · pith_short_8: 45UX6NFO

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/45UX6NFOJD62Z5MQ5R2MFV2GW3 \
  | 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: e7697f34ae48fdacf590ec74c2d746b6ddcd4d2e2d639e0eb064546f568fd7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc1961af51fa56a9df66b222e0b3c1a33db7eb4181174c2e4958c8afc2327e08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T16:36:41Z",
    "title_canon_sha256": "5d7df096d44e85314f8723e807e946086ae76195233a85d789d328390df2948a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13756",
    "kind": "arxiv",
    "version": 1
  }
}