Pith Number

pith:5OT6NJKG

pith:2026:5OT6NJKGGMRU6X37CHONMAVLOD

not attested not anchored not stored refs resolved

Violations of the Leggett-Garg inequality in Hybrid Liouvillian Dynamics: The Nonlinear Role of Detector Efficiency

Parveen Kumar, Sourav Paul, Sourin Das

Even an infinitesimal detector efficiency causes a rapid nonlinear suppression of Leggett-Garg inequality violations from their algebraic maximum of 3 to the classical bound.

arxiv:2605.13494 v1 · 2026-05-13 · quant-ph

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\pithnumber{5OT6NJKGGMRU6X37CHONMAVLOD}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

While K3 approaches its algebraic maximum of 3 in the null-efficiency limit, even an infinitesimal increase in detector efficiency induces a rapid, highly nonlinear suppression toward the classical bound.

C2weakest assumption

The time-local hybrid Liouvillian with continuous parameter q accurately captures realistic measurement processes that interpolate between full Lindblad dynamics and no-jump non-Hermitian evolution.

C3one line summary

Detector efficiency causes rapid nonlinear suppression of extreme Leggett-Garg inequality violations in hybrid Liouvillian dynamics.

References

56 extracted · 56 resolved · 1 Pith anchors

[1] A. J. Leggett, J. Phys.: Condens. Matter14, R415 (2002) 2002

[2] M. Schlosshauer, Rev. Mod. Phys.76, 1267 (2005) 2005

[3] W. H. Zurek, Rev. Mod. Phys.75, 715 (2003) 2003

[4] J. Kofler and C. Brukner, Phys. Rev. Lett.99, 180403 (2007) 2007

[5] A. J. Leggett and A. Garg, Phys. Rev. Lett.54, 857 (1985) 1985

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:41.122567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eba7e6a54633234f5f7f11dcd602ab70e836e11d4ad876dce7adc69622dd2433

Aliases

arxiv: 2605.13494 · arxiv_version: 2605.13494v1 · doi: 10.48550/arxiv.2605.13494 · pith_short_12: 5OT6NJKGGMRU · pith_short_16: 5OT6NJKGGMRU6X37 · pith_short_8: 5OT6NJKG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5OT6NJKGGMRU6X37CHONMAVLOD \
  | 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: eba7e6a54633234f5f7f11dcd602ab70e836e11d4ad876dce7adc69622dd2433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eb3c61e6797a2f179042a6a9f08c44a16f17e862fe10a8202c727d49d20c99a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T13:18:40Z",
    "title_canon_sha256": "01608a6e316135dc44821e8d9545179f195c73b6a507d69d3d57b7ef0c92ea0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13494",
    "kind": "arxiv",
    "version": 1
  }
}