Pith Number

pith:FPYRVX6G

pith:2026:FPYRVX6G5UGDSAIHYLQYU45O46

not attested not anchored not stored refs pending

Efficient characterization of general Gottesman-Kitaev-Preskill qubits

Petr Marek, Vojt\v{e}ch Kucha\v{r}

A family of operators on the logical Bloch sphere has ideal GKP states as unique ground states and their expectation values equal twice the logical infidelity.

arxiv:2604.17303 v2 · 2026-04-19 · quant-ph

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\usepackage{pith}
\pithnumber{FPYRVX6G5UGDSAIHYLQYU45O46}

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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

The expectation value of each operator serves as a witness of non-Gaussianity, and corresponds to twice the logical infidelity for states in the ideal logical GKP subspace. The truncated finite-dimensional counterparts yield physical approximations of arbitrary logical GKP states as their ground states.

C2weakest assumption

The operators possess unique zero-eigenvalue ground states exactly matching the ideal GKP logical states for every Bloch-sphere point, and the infidelity correspondence holds only inside the ideal logical subspace.

C3one line summary

A new set of positive semidefinite operators for GKP qubits gives logical infidelity via three quadrature measurements and yields finite-dimensional approximations as ground states.

Receipt and verification

First computed	2026-05-26T02:04:10.984163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bf11adfc6ed0c390107c2e18a73aee7a261b882589c3b693c25500d1f423d29

Aliases

arxiv: 2604.17303 · arxiv_version: 2604.17303v2 · doi: 10.48550/arxiv.2604.17303 · pith_short_12: FPYRVX6G5UGD · pith_short_16: FPYRVX6G5UGDSAIH · pith_short_8: FPYRVX6G

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/FPYRVX6G5UGDSAIHYLQYU45O46 \
  | 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: 2bf11adfc6ed0c390107c2e18a73aee7a261b882589c3b693c25500d1f423d29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a5f48343a60eb57c3c50be2f02b53d8da4a668e1668319b6191fcd452158db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-19T07:36:55Z",
    "title_canon_sha256": "4363a1fb5cfba7416fb2b8ff6e6aee8120995ed2dfef629f5fe6f0737805fdb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17303",
    "kind": "arxiv",
    "version": 2
  }
}