Pith Number

pith:4O7MBMTQ

pith:2025:4O7MBMTQCBJ7JMN3NW3EBZE4BM

not attested not anchored not stored refs pending

Learning thermodynamic master equations for open quantum systems

Brendan Keith, Peter Sentz, Sohail Reddy, Stanley Nicholson, Stefanie G\"unther, Yujin Cho

Incorporating thermodynamic consistency into learnable terms allows data-driven recovery of Hamiltonians in open quantum systems.

arxiv:2506.01882 v3 · 2025-06-02 · quant-ph · cs.LG

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\usepackage{pith}
\pithnumber{4O7MBMTQCBJ7JMN3NW3EBZE4BM}

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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

We present a data-driven model for open quantum systems that includes learnable, thermodynamically consistent terms. The trained model is interpretable, as it directly estimates the system Hamiltonian and linear components of coupling to the environment.

C2weakest assumption

The assumption that thermodynamic consistency can be imposed on the learnable nonlinear terms without introducing bias that prevents accurate recovery of the Hamiltonian and couplings from finite noisy data (abstract and validation sections).

C3one line summary

A data-driven model learns thermodynamically consistent master equations for open quantum systems, estimating Hamiltonians and couplings from synthetic two- and three-level data plus experimental two-level quantum device measurements.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-23T02:13:15.424203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3bec0b2701053f4b1bb6db640e49c0b169250e0ad95c6a92eaea18828028610

Aliases

arxiv: 2506.01882 · arxiv_version: 2506.01882v3 · doi: 10.48550/arxiv.2506.01882 · pith_short_12: 4O7MBMTQCBJ7 · pith_short_16: 4O7MBMTQCBJ7JMN3 · pith_short_8: 4O7MBMTQ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4O7MBMTQCBJ7JMN3NW3EBZE4BM \
  | 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: e3bec0b2701053f4b1bb6db640e49c0b169250e0ad95c6a92eaea18828028610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367bd6a089bcfcebc151c1abcc39af8b51c1ed36de196af0c6d48fcd1972b246",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-02T17:11:16Z",
    "title_canon_sha256": "d7733297479cee5c20b33d52c80ff95277eb8a4e2a361497c92aa1d574b3e59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.01882",
    "kind": "arxiv",
    "version": 3
  }
}