Pith Number

pith:2ORCPD77

pith:2026:2ORCPD7725JERKIDHHCSVQ6NNI

not attested not anchored not stored refs resolved

Phase Matching for a Generalized Grover's Algorithm

Chris Cardullo, Min Kang

In the generalized Grover's algorithm, optimal phases deviate from π as target probability approaches 1, breaking phase matching but raising success probability.

arxiv:2605.13758 v1 · 2026-05-13 · quant-ph · math.OC

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations 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

as the probability of observation approaches 1, the optimal phase changes differ from π and no longer observe phase matching... lead to an increase in the probability of the target.

C2weakest assumption

That the current amplitude vector is known exactly when choosing the next phases; in a real device this vector is not directly observable and must be estimated.

C3one line summary

Optimal phase changes in generalized Grover's algorithm deviate from π only when target probability nears 1, yielding a modest increase in success probability for the final iteration.

References

16 extracted · 16 resolved · 0 Pith anchors

[1] A fast quantum mechanical algorithm for database search, 1996

[2] Tight bounds on quantum searching, 1998

[3] Quantum Computing in the NISQ era and beyond, 2018

[4] Quantum partial search algorithm with smaller oracles for multiple target items, 2022

[5] Deterministic grover search with a restricted oracle, 2022

Receipt and verification

First computed	2026-05-18T02:44:16.322608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3a2278fffd75248a90339c52ac3cd6a0bcb4c7ee37e3d88c3e46e2c4bcc4079

Aliases

arxiv: 2605.13758 · arxiv_version: 2605.13758v1 · doi: 10.48550/arxiv.2605.13758 · pith_short_12: 2ORCPD7725JE · pith_short_16: 2ORCPD7725JERKID · pith_short_8: 2ORCPD77

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ORCPD7725JERKIDHHCSVQ6NNI \
  | 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: d3a2278fffd75248a90339c52ac3cd6a0bcb4c7ee37e3d88c3e46e2c4bcc4079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e5d3c3a5b9bda872938ef83d4df2b2fe74ca28547b1e5b771135d2ca1e4ec14",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T16:39:34Z",
    "title_canon_sha256": "65ccb86a4a91ef37394fcad83acc6e9c7846d76149001074886026bc30bf0998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13758",
    "kind": "arxiv",
    "version": 1
  }
}