Pith Number

pith:Y5BXJMMS

pith:2026:Y5BXJMMS4SCXNANXIM3SPHNEIN

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To Purify or Not to Purify: Entanglement Purification under Input Fidelity Asymmetry in Quantum Networks

Amy Babay, Anoosha Fayyaz, David Tipper, Kaushik Seshadreesan, Prashant Krishnamurthy

Purification of entangled pairs is beneficial only when their fidelity asymmetry stays below a derived threshold

arxiv:2605.08771 v2 · 2026-05-09 · quant-ph

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\usepackage{pith}
\pithnumber{Y5BXJMMS4SCXNANXIM3SPHNEIN}

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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

✓ Portable graph bundle live · download bundle · merged state

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

We derive a closed-form fidelity asymmetry tolerance delta(F) that governs whether a purification attempt is beneficial. We determine a universal upper bound delta_max of approximately 0.076 beyond which purification is always counterproductive.

C2weakest assumption

The model assumes sequential generation of the two resource pairs with exponential memory decoherence and that the fidelity after swapping and purification follows the standard bilinear formula without additional noise sources.

C3one line summary

A fidelity asymmetry tolerance of roughly 0.076 marks the point beyond which entanglement purification becomes counterproductive in quantum networks, and conditioning purification decisions on measured asymmetry improves end-to-end performance.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-07-29T00:24:38.783439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74374b192e4857681b74337279da4437928f0eb9ac81586dfdab4164888bdf9

Aliases

arxiv: 2605.08771 · arxiv_version: 2605.08771v2 · doi: 10.48550/arxiv.2605.08771 · pith_short_12: Y5BXJMMS4SCX · pith_short_16: Y5BXJMMS4SCXNANX · pith_short_8: Y5BXJMMS

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/Y5BXJMMS4SCXNANXIM3SPHNEIN \
  | 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: c74374b192e4857681b74337279da4437928f0eb9ac81586dfdab4164888bdf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c7353f00337f83d575c79e97d662b138822d9471d40e96ff7597df1a19dd32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-09T07:58:03Z",
    "title_canon_sha256": "30c59aa00b3877282cb729e272c4b961c38d8a951dde924ab1f96169d192446f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.08771",
    "kind": "arxiv",
    "version": 2
  }
}