Pith Number

pith:NMGZ5QDM

pith:2026:NMGZ5QDMZCVYQFULMTROOGWLTL

not attested not anchored not stored refs pending

Entanglement Distance of Two- and Multi-Qubit Variational States and Its Quantification with Quantum Computing

Kh. P. Gnatenko, M. Z. Seniak, R. O. Hredil, V. Y. Pinchuk, Y. T. Shevchuk

Recurrence relations on Pauli observables yield exact entanglement distances for RY-CZ variational circuits on qubit chains.

arxiv:2605.00259 v2 · 2026-04-30 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMGZ5QDMZCVYQFULMTROOGWLTL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

With increasing circuit depth, more qubits influence a given qubit, which reflects the spreading of quantum correlations in the system. For a closed one-dimensional chain of N qubits, explicit analytical expressions are derived for the case of two layers.

C2weakest assumption

The recurrence relations derived from the specific layered structure of RY and CZ gates fully capture the expectation values of all relevant Pauli observables without additional approximations or truncation.

C3one line summary

Recurrence relations yield analytical expressions for entanglement distance in variational qubit states, revealing how correlations spread with circuit depth in one-dimensional chains.

Receipt and verification

First computed	2026-05-26T02:05:09.696362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0d9ec06cc8ab88168b64e2e71acb9afa9ba9fa228ee4b651363a0c71c5d359

Aliases

arxiv: 2605.00259 · arxiv_version: 2605.00259v2 · doi: 10.48550/arxiv.2605.00259 · pith_short_12: NMGZ5QDMZCVY · pith_short_16: NMGZ5QDMZCVYQFUL · pith_short_8: NMGZ5QDM

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/NMGZ5QDMZCVYQFULMTROOGWLTL \
  | 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: 6b0d9ec06cc8ab88168b64e2e71acb9afa9ba9fa228ee4b651363a0c71c5d359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5be176d55bb94b1d52e7e0f564dc17e88a4fdf9fbc74c68365ef73fa49a3214",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-30T21:53:39Z",
    "title_canon_sha256": "046de1774cc8359e757dfbf124cae5ecc9431c6830e620ade3a0926177263229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00259",
    "kind": "arxiv",
    "version": 2
  }
}