Pith Number

pith:D5EX6VCG

pith:2026:D5EX6VCGA7EB3QEJBCZZP5SB4P

not attested not anchored not stored refs resolved

Quantum simulation of nanographenes and Trotter error cancellation

Andreas Juul Bay-Smidt, Earl T. Campbell, Gemma C. Solomon, Marcel D. Fabian, Nick S. Blunt, Nina Glaser

Trotter error cancels for energy differences in nanographene simulations, cutting circuit depth by an order of magnitude.

arxiv:2605.00745 v2 · 2026-05-01 · 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{D5EX6VCGA7EB3QEJBCZZP5SB4P}

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

We observe a Trotter error cancellation phenomenon whereby the Trotter error for energy differences between low-lying eigenstates is significantly smaller than the Trotter error for absolute energies, resulting in approximately an order of magnitude circuit depth reduction for quantum phase estimation calculation of energy gaps.

C2weakest assumption

The tensor-network-based approach correctly estimates Trotter eigenvalue errors for systems beyond brute-force calculation, as used to obtain the spectral analysis and resource estimates for nanographenes up to 140 spin orbitals.

C3one line summary

Trotter error cancellation in nanographene simulations reduces circuit depth by about 10x for quantum phase estimation of energy gaps to chemical accuracy in the Pariser-Parr-Pople model.

References

105 extracted · 105 resolved · 2 Pith anchors

[1] P. Hohenberg and W. Kohn, Inhomogeneous electron gas, Phys. Rev.136, B864 (1964) 1964

[2] W. Kohn and L. J. Sham, Self-consistent equations in- cluding exchange and correlation effects, Phys. Rev.140, A1133 (1965) 1965

[3] A. J. Cohen, P. Mori-S´ anchez, and W. Yang, Insights into current limitations of density functional theory, Science 321, 792 (2008) 2008

[4] K. Burke, Perspective on density functional theory, J. Chem. Phys.136, 150901 (2012) 2012

[5] N. Mardirossian and M. Head-Gordon, Thirty years of density functional theory in computational chemistry: an overview and extensive assessment of 200 density func- tionals, Mol. Phys.115, 2315 (2017) 2017

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:42.453230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f497f544607c81dc08908b397f641e3fb1e0890c8dd62f5c0a451c5a5a5e171

Aliases

arxiv: 2605.00745 · arxiv_version: 2605.00745v2 · doi: 10.48550/arxiv.2605.00745 · pith_short_12: D5EX6VCGA7EB · pith_short_16: D5EX6VCGA7EB3QEJ · pith_short_8: D5EX6VCG

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/D5EX6VCGA7EB3QEJBCZZP5SB4P \
  | 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: 1f497f544607c81dc08908b397f641e3fb1e0890c8dd62f5c0a451c5a5a5e171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3ed05cbcf01b1b93b991c566dda93fd45fbad3ae7b1994b6a2e306228685887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-01T15:49:52Z",
    "title_canon_sha256": "f934f51c91059f13b7ecf43b4370566b56fc69fa453fa497e4249869e020e6ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00745",
    "kind": "arxiv",
    "version": 2
  }
}