Pith Number

pith:KJRJULOR

pith:2025:KJRJULORRWVGCN7JJHN7DVWN7H

not attested not anchored not stored refs pending

A Deficiency-Based Approach for the Operational Interpretation of Quantum Resources with Applications

Chunhe Xiong, Junde Wu, Sunho Kim

Defining resource deficiency relative to maximal sets gives operational meaning to quantum resources even when mixed states appear inactive.

arxiv:2509.03043 v5 · 2025-09-03 · quant-ph

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\usepackage{pith}
\pithnumber{KJRJULORRWVGCN7JJHN7DVWN7H}

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Record completeness

1 Bitcoin timestamp

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

A geometric measure satisfying the deficiency-based framework's requirements for coherence and entanglement captures the operational disadvantage of arbitrary states compared to maximal resource states in subchannel discrimination.

C2weakest assumption

The existence and well-defined properties of maximal resource sets, along with the assumption that a geometric measure can be constructed to satisfy the deficiency framework's operational requirements without additional fitting or post-hoc adjustments.

C3one line summary

Defines resource deficiency relative to maximal sets to extend operational interpretations of quantum resources and link them to experimental gate noise estimation.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-02T02:04:08.592629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52629a2dd18daa6137e949dbf1d6cdf9d9f59c4213f96ef8452858565b872cca

Aliases

arxiv: 2509.03043 · arxiv_version: 2509.03043v5 · doi: 10.48550/arxiv.2509.03043 · pith_short_12: KJRJULORRWVG · pith_short_16: KJRJULORRWVGCN7J · pith_short_8: KJRJULOR

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/KJRJULORRWVGCN7JJHN7DVWN7H \
  | 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: 52629a2dd18daa6137e949dbf1d6cdf9d9f59c4213f96ef8452858565b872cca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef20a958f06a349322458ade532b746affd121a4a793953ed9c7026bbeb68c0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-03T06:11:11Z",
    "title_canon_sha256": "6ff98c830e554c2a6ab8b373b8294b01eaa1ed553da6f078dd1100177724e3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03043",
    "kind": "arxiv",
    "version": 5
  }
}