Pith Number

pith:M6DUERIP

pith:2024:M6DUERIPDXU7QJ3OYUS2CDCP3R

not attested not anchored not stored refs pending

Quantum CORDIC -- Arcsine on a Budget

Iain Burge, Joaquin Garcia-Alfaro, Michel Barbeau

A reversible quantum CORDIC algorithm computes the arcsine function using O(n) qubits for n-bit precision.

arxiv:2411.14434 v3 · 2024-11-02 · quant-ph · cs.CR

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\usepackage{pith}
\pithnumber{M6DUERIPDXU7QJ3OYUS2CDCP3R}

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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 n bits of precision, our method has space complexity of order n qubits, a layer count in the order of n times log n, and a CNOT count in the order of n squared.

C2weakest assumption

The non-reversible operations traditionally present in classical CORDIC can be replaced by fully reversible quantum equivalents while preserving the stated asymptotic resource counts (abstract, paragraph on adapting CORDIC to quantum context).

C3one line summary

A reversible quantum CORDIC algorithm computes arcsine using O(n) qubits, O(n log n) layers, and O(n²) CNOT gates for n-bit precision.

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Fullqubit alchemist: Quantum algorithm for alchemical free energy calculations

Receipt and verification

First computed	2026-08-05T01:36:12.127069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678742450f1de9f8276ec525a10c4fdc74743fcaf1d41cfb143a7e468898da63

Aliases

arxiv: 2411.14434 · arxiv_version: 2411.14434v3 · doi: 10.48550/arxiv.2411.14434 · pith_short_12: M6DUERIPDXU7 · pith_short_16: M6DUERIPDXU7QJ3O · pith_short_8: M6DUERIP

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/M6DUERIPDXU7QJ3OYUS2CDCP3R \
  | 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: 678742450f1de9f8276ec525a10c4fdc74743fcaf1d41cfb143a7e468898da63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e712baa816396313870fa287e216d63f43b4a4d8c857bc7c65f749d213e21cb5",
    "cross_cats_sorted": [
      "cs.CR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-11-02T11:00:58Z",
    "title_canon_sha256": "4d925a70573100a1b40dff4590f5180b5eb2bbb1a2893fff55d2432bc066b923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14434",
    "kind": "arxiv",
    "version": 3
  }
}