Pith Number

pith:EFLXMDSB

pith:2026:EFLXMDSBRAL3A5XWUBYQKSZWKM

not attested not anchored not stored refs resolved

Fermion lattices can be simulated by same-size qubit lattices with $\mathcal{O}(1)$ interaction overhead

Berend Klaver, Gregor Aigner, Martin Lanthaler, Wolfgang Lechner

Two-dimensional fermion lattices can be simulated on equal-sized qubit lattices with no asymptotic interaction or space overhead.

arxiv:2605.12600 v1 · 2026-05-12 · quant-ph

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Record completeness

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4 Citations open

5 Replications open

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Claims

C1strongest claim

We show how to simulate all geometrically local interactions on an N-site two-dimensional fermion lattice with no asymptotic overhead in the number of interactions and no space overhead.

C2weakest assumption

The dynamic reorientation of the Jordan-Wigner string can be realized in hardware without introducing hidden asymptotic costs in gate count or connectivity beyond what is already assumed for qubit lattices and swap networks.

C3one line summary

Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.

References

67 extracted · 67 resolved · 2 Pith anchors

[1] D. P. Arovas, E. Berg, S. A. Kivelson, and S. Raghu, The Hubbard Model, Annual Review of Condensed Matter Physics13, 239 (2022) 2022

[2] M. Qin, T. Sch¨ afer, S. Andergassen, P. Corboz, and E. Gull, The Hubbard Model: A Computational Per- spective, Annual Review of Condensed Matter Physics 13, 275 (2022) 2022

[3] R. P. Feynman, Simulating physics with computers, International Journal of Theoretical Physics21, 467 (1982) 1982

[4] S. B. Bravyi and A. Y. Kitaev, Fermionic Quantum Com- putation, Annals of Physics298, 210 (2002) 2002

[5] F. Verstraete and J. I. Cirac, Mapping local Hamiltoni- ans of fermions to local Hamiltonians of spins, Journal of Statistical Mechanics: Theory and Experiment2005, P09012 (2005) 2005

Receipt and verification

First computed	2026-05-18T03:10:01.003133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2157760e418817b076f6a071054b3653096f1cba368a6cccd98a795525867804

Aliases

arxiv: 2605.12600 · arxiv_version: 2605.12600v1 · doi: 10.48550/arxiv.2605.12600 · pith_short_12: EFLXMDSBRAL3 · pith_short_16: EFLXMDSBRAL3A5XW · pith_short_8: EFLXMDSB

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/EFLXMDSBRAL3A5XWUBYQKSZWKM \
  | 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: 2157760e418817b076f6a071054b3653096f1cba368a6cccd98a795525867804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d1d12e3be7239819f1d7918a727556ac15c38c11205e1f7b4357ac05155f824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-12T18:00:04Z",
    "title_canon_sha256": "150d1da16ccd677d9e7f3602d457de518f28191ead69e6e5c012c76539cd65c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12600",
    "kind": "arxiv",
    "version": 1
  }
}