Pith Number

pith:773VP55V

pith:2026:773VP55VVQAC5MJAKJMKK7FLI5

not attested not anchored not stored refs resolved

Quantum Circuit Synthesis Using an Exact T Library

Hanyu Wang, Jason Cong, Mingfei Yu, Xinrui Wu

Precomputing T-optimal implementations for Boolean functions of up to seven variables, after Clifford canonicalization, yields quantum circuits with substantially lower T counts than AND-count minimization.

arxiv:2605.15476 v1 · 2026-05-14 · quant-ph

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\pithnumber{773VP55VVQAC5MJAKJMKK7FLI5}

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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

By precomputing T-optimal implementations up to seven variables and developing a customized mapper, we reduce the T count by up to 14.3% on EPFL benchmarks and improve the T counts of several cryptographic modules by up to 40%.

C2weakest assumption

That the precomputed T-optimal library for functions of at most seven variables, combined with Clifford canonicalization, is sufficient to cover the structure of practical benchmarks without introducing significant mapping overhead or missing better global optimizations.

C3one line summary

Exact T-count minimization via precomputed optimal libraries up to 7 variables and Clifford canonicalization yields up to 14.3% T reduction on EPFL benchmarks and 40% on cryptographic modules.

References

43 extracted · 43 resolved · 4 Pith anchors

[1] L. Amarú, P.-E. Gaillardon, and G. De Micheli. The EPFL combinational bench- mark suite.Hypotenuse, 256(128):214335, 2015 2015

[2] M. Amy and M. Mosca. T-count optimization and Reed–Muller codes.IEEE Transactions on Information Theory, 65(8):4771–4784, 2019 2019

[3] M. Amy and N. J. Ross. Phase-state duality in reversible circuit design.Physical Review A, 104(5):052602, 2021 2021

[4] F. Arute, K. Arya, R. Babbush, D. Bacon, J. C. Bardin, R. Barends, R. Biswas, S. Boixo, F. G. Brandao, D. A. Buell, et al. Quantum supremacy using a pro- grammable superconducting processor.Nature, 57 2019

[5] R. Babbush, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, A. Paler, A. Fowler, and H. Neven. Encoding electronic spectra in quantum circuits with linear T complexity.Physical Review X, 8(4):041015, 20 2018

Receipt and verification

First computed	2026-05-20T00:01:00.571191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fff757f7b5ac002eb1205258a57cab4758535c5c8148fe109b7a9b4350e74cb4

Aliases

arxiv: 2605.15476 · arxiv_version: 2605.15476v1 · doi: 10.48550/arxiv.2605.15476 · pith_short_12: 773VP55VVQAC · pith_short_16: 773VP55VVQAC5MJA · pith_short_8: 773VP55V

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/773VP55VVQAC5MJAKJMKK7FLI5 \
  | 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: fff757f7b5ac002eb1205258a57cab4758535c5c8148fe109b7a9b4350e74cb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85dfa6a7916aa177775571608610b9263ea442bf66b0e0d1bc8a52513daf07e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T23:34:01Z",
    "title_canon_sha256": "fdcfccc6975cd8f6f3e5cd82e3d0e824f9f208bc02b355302918c65c30aeba45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15476",
    "kind": "arxiv",
    "version": 1
  }
}