Pith Number

pith:MVL6QFEO

pith:2026:MVL6QFEO2TORHO6S42G5SP4L2Q

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Permutation-symmetric quantum trajectories

Aleksandra A. Ziolkowska, Elliot W. Lloyd, Jonathan Keeling

A stochastic unraveling that respects weak permutation symmetry exactly reproduces the master equation for N emitters coupled to a shared mode while reducing simulation cost from O(N^5) to O(N^2) for two-level systems.

arxiv:2605.11103 v2 · 2026-05-11 · quant-ph · cond-mat.mes-hall · cond-mat.quant-gas

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\pithnumber{MVL6QFEO2TORHO6S42G5SP4L2Q}

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4 Citations open

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Claims

C1strongest claim

We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of N emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from O(N^5) to O(N^2), and with additional refinements, allows reduction to O(N).

C2weakest assumption

That a stochastic unraveling can be constructed to respect weak permutation symmetry while exactly reproducing the dynamics of the underlying master equation for the symmetric system.

C3one line summary

A permutation-symmetric stochastic unraveling reduces quantum trajectory simulation cost for N two-level emitters from O(N^5) to O(N) while preserving exact average dynamics.

Receipt and verification

First computed	2026-05-20T00:03:17.285909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6557e8148ed4dd13bbd2e68dd93f8bd428ab9dc03ebd42731dd150b8bdc52487

Aliases

arxiv: 2605.11103 · arxiv_version: 2605.11103v2 · doi: 10.48550/arxiv.2605.11103 · pith_short_12: MVL6QFEO2TOR · pith_short_16: MVL6QFEO2TORHO6S · pith_short_8: MVL6QFEO

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MVL6QFEO2TORHO6S42G5SP4L2Q \
  | 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: 6557e8148ed4dd13bbd2e68dd93f8bd428ab9dc03ebd42731dd150b8bdc52487

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75cec391c9e5c9e98a66860156a517ceffbd76ab5fc69c9ffc262096251b072a",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.quant-gas"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-11T18:08:08Z",
    "title_canon_sha256": "49b1c5f9bbf4a3b7746be893bbe71b87a879b6be493257fe9972b52b4f37d51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.11103",
    "kind": "arxiv",
    "version": 2
  }
}