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pith:BNXXER3P

pith:2025:BNXXER3PQUVVSPINAHZSEQEQUB

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Assessing the dynamical assumptions in Tsirelson inequality tests of non-classicality in harmonic oscillators

Arush Garg, Jonathan Halliwell, Taejas Venkataraman

Quantum analysis shows uniform precession holds closely enough in harmonic oscillators that Tsirelson violations require quantum interference terms.

arxiv:2509.03166 v4 · 2025-09-03 · quant-ph

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Claims

C1strongest claim

We show that various measures of uniform precession, some of which are related to Leggett-Garg quantities, are satisfied well enough that the presence of quantum-mechanical interference terms must be implied.

C2weakest assumption

The chosen measures of generalized uniform precession (including those related to Leggett-Garg quantities) are sufficient to rule out classical explanations for Tsirelson inequality violations in the harmonic oscillator model.

C3one line summary

Quantum-mechanical analysis of the Tsirelson inequality in harmonic oscillators shows that generalized uniform precession conditions hold sufficiently well to imply the presence of quantum interference terms.

References

95 extracted · 95 resolved · 2 Pith anchors

[1] Declare a data set, comprising measurements of⟨A⟩ (the Tsirelson test itself) as well as subsidiary quan- tities to gauge the dynamical assumption of uni- form precession (UP)

[2] Write the Tsirelson quantity in the following form: 1 2(1 +⟨A⟩) = (Positive term) + (UP violating term) + (Quantum interference term),(3.1) where the scaled Tsirelson quantity 1 2(1 +⟨A⟩) is 8 bounded

[3] three-headed cat state

[4] By this measure, a classical and quantum oscillator are indistinguishable

[5] This in turn is related to the fact that the Wigner function, for a class of potentials, has approximately classical evolution

Cited by

1 paper in Pith

Comparing quantum and classical finite state generators

Receipt and verification

First computed	2026-05-22T02:04:36.711246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6f72476f852b593d0d01f3224090a07c6de8b5f499eff3e7599eeb364e486d

Aliases

arxiv: 2509.03166 · arxiv_version: 2509.03166v4 · doi: 10.48550/arxiv.2509.03166 · pith_short_12: BNXXER3PQUVV · pith_short_16: BNXXER3PQUVVSPIN · pith_short_8: BNXXER3P

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/BNXXER3PQUVVSPINAHZSEQEQUB \
  | 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: 0b6f72476f852b593d0d01f3224090a07c6de8b5f499eff3e7599eeb364e486d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9edb27dd6d1422a7562d38ad8829bc5935e8c49fad1fe9bccdcc7a988da922a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-03T09:33:31Z",
    "title_canon_sha256": "ec5ac7693efa1247e3d05b5c94333170b53a761899caad38598e21a2880c7209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03166",
    "kind": "arxiv",
    "version": 4
  }
}