Pith Number

pith:HAY2USSK

pith:2026:HAY2USSKUSZGJE2VILYILSYRAI

not attested not anchored not stored refs pending

Optimal Construction of Two-Qubit Gates using the Symmetries of B Gate Equivalence Class

M. Karthick Selvan, S. Balakrishnan

Two applications of gates from the B equivalence class generate any two-qubit gate.

arxiv:2601.13983 v3 · 2026-01-20 · quant-ph

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\usepackage{pith}
\pithnumber{HAY2USSKUSZGJE2VILYILSYRAI}

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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

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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

Two applications of gates from the B gate equivalence class can generate all two-qubit gates.

C2weakest assumption

The symmetries of the B class and the planar regions in the Weyl chamber are assumed to fully cover the space of all two-qubit gates without additional constraints or exceptions.

C3one line summary

Gates from the B equivalence class generate all two-qubit gates in two applications via mirror and inverse symmetries, enabling universal circuits with two nonlocal gates and upper bounds for n-qubit operations.

Receipt and verification

First computed	2026-06-10T01:08:31.331789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3831aa4a4aa4b264935542f085cb11020e2d3118ca943644fc254f9e0b67b2e5

Aliases

arxiv: 2601.13983 · arxiv_version: 2601.13983v3 · doi: 10.48550/arxiv.2601.13983 · pith_short_12: HAY2USSKUSZG · pith_short_16: HAY2USSKUSZGJE2V · pith_short_8: HAY2USSK

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/HAY2USSKUSZGJE2VILYILSYRAI \
  | 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: 3831aa4a4aa4b264935542f085cb11020e2d3118ca943644fc254f9e0b67b2e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcc34da5868235a373b17a1a4e0d7565686eceda402068c0691833cb23f38d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-20T14:00:37Z",
    "title_canon_sha256": "89762d592e28a950a370233a0504e59a29fb0e233f005d68264034524998c4f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.13983",
    "kind": "arxiv",
    "version": 3
  }
}