Pith Number

pith:5OPKJTXD

pith:2026:5OPKJTXD7XY32U7YOFPDOM4PGF

not attested not anchored not stored refs pending

The most discriminable quantum states in the multicopy regime

Lucas B. Vieira, Lucas E. A. Porto, Marco T\'ulio Quintino, Maria Kvashchuk, Polina Chernyshova, Ties-A. Ohst

For large enough N, state k-designs exactly maximize success probability in multi-copy pure-state discrimination.

arxiv:2604.26927 v2 · 2026-04-29 · quant-ph

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\usepackage{pith}
\pithnumber{5OPKJTXD7XY32U7YOFPDOM4PGF}

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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

For pure state ensembles, we prove that whenever N is large enough to support a state k-design, these designs will exactly give rise to the maximally discriminable sets.

C2weakest assumption

The assumption that the ensemble is uniformly distributed and that k-designs exist with the required symmetry properties for the given dimension d and copy number k.

C3one line summary

k-designs achieve maximal discriminability for pure states in multi-copy minimum-error discrimination; mixed states outperform for larger ensembles, with quantum offering quadratic advantage over classical.

Cited by

1 paper in Pith

Non-signaling assistance in prepare-and-measure scenarios with classical communication

Receipt and verification

First computed	2026-06-24T00:14:22.949106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9ea4cee3fdf1bd53f8715e37338f3176979b2a2049134e71d5131b18105339

Aliases

arxiv: 2604.26927 · arxiv_version: 2604.26927v2 · doi: 10.48550/arxiv.2604.26927 · pith_short_12: 5OPKJTXD7XY3 · pith_short_16: 5OPKJTXD7XY32U7Y · pith_short_8: 5OPKJTXD

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/5OPKJTXD7XY32U7YOFPDOM4PGF \
  | 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: eb9ea4cee3fdf1bd53f8715e37338f3176979b2a2049134e71d5131b18105339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53e30d48e01b8370c833700c916cda7dca4ed25e04fbb7457f27cf397b106b80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-29T17:41:12Z",
    "title_canon_sha256": "9aa36883cb4d790f7d3eac76c9e11fbc2ace639053fc3c2237c5467a19a164b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.26927",
    "kind": "arxiv",
    "version": 2
  }
}