Pith Number

pith:BIMSELBV

pith:2026:BIMSELBVUAISKVL7RJHCVN7ZVS

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Quantum Finite Temperature Lanczos Method

Friederike Metz, Gian Gentinetta, Giuseppe Carleo, William Kirby

The Quantum Finite Temperature Lanczos Method computes thermal expectation values on quantum computers without classical exponential scaling.

arxiv:2603.25394 v1 · 2026-03-26 · quant-ph

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Record completeness

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4 Citations open

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Claims

C1strongest claim

QFTLM enables the computation of thermal expectation values while avoiding the exponential scaling inherent to classical exact simulation techniques.

C2weakest assumption

That suitable regularization and finite Krylov dimension plus a modest number of trace-estimator states are sufficient to keep Trotter and sampling errors under control on noisy quantum hardware for system sizes beyond the small models tested.

C3one line summary

QFTLM computes thermal expectation values on quantum computers by merging quantum Krylov methods with efficient typical-state preparation for trace estimation.

References

75 extracted · 75 resolved · 1 Pith anchors

[1] N. D. Mermin, Thermal Properties of the Inhomogeneous Electron Gas, Physical Review137, A1441 (1965) 1965

[2] A. Georges, G. Kotliar, W. Krauth, and M. J. Rozen- berg, Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions, Re- views of Modern Physics68, 13 (19 1996

[3] A. F. White and G. Kin-Lic Chan, Finite-temperature coupled cluster: Efficient implementation and applica- tion to prototypical systems, The Journal of Chemical Physics152, 224104 (2020) 2020

[4] G. Harsha, T. M. Henderson, and G. E. Scuseria, Ther- mofield theory for finite-temperature quantum chemistry, The Journal of Chemical Physics150, 154109 (2019) 2019

[5] C. Sun, U. Ray, Z.-H. Cui, M. Stoudenmire, M. Fer- rero, and G. K.-L. Chan, Finite-temperature density ma- trix embedding theory, Physical Review B101, 075131 (2020) 2020

Formal links

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Cited by

2 papers in Pith

Estimating Green's functions with a robust quantum Arnoldi method

Finite-temperature quantum Krylov method from real-time overlaps

Receipt and verification

First computed	2026-05-17T23:38:59.530247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a19222c35a01125557f8a4e2ab7f9ac9893fd4ba8fcc4ce8eb5d0d19ffadf21

Aliases

arxiv: 2603.25394 · arxiv_version: 2603.25394v1 · doi: 10.48550/arxiv.2603.25394 · pith_short_12: BIMSELBVUAIS · pith_short_16: BIMSELBVUAISKVL7 · pith_short_8: BIMSELBV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BIMSELBVUAISKVL7RJHCVN7ZVS \
  | 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: 0a19222c35a01125557f8a4e2ab7f9ac9893fd4ba8fcc4ce8eb5d0d19ffadf21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2484d3af68fb4a946e8d9b0e1f76a80a3428952aa43c5d6772aaec042763b9d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-03-26T12:40:02Z",
    "title_canon_sha256": "0f1694e7edb9023a6cac07b04b748e5a57354f3c5f584b677e90981377bfa0f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.25394",
    "kind": "arxiv",
    "version": 1
  }
}