Paper Citation Record · LEDGER

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

As of 15 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 6 inbound Pith citation observations for arXiv:2512.03457.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2512.03457 v3

Coverage vector

measured 27 of 27 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T18:52:16.283432Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T07:24:32.725249Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T04:29:35.552478Z

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation 4e41fe08-eb6c-49b3-b390-43ae83978856 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.221599Z

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Observation d856d23d-e03f-4b04-a979-46dc63d3c70c · outbound

This paper cites We show that it admits the same structural form as eG† k,AS after a β-dependent shift of the integration variable.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions We show that it admits the same structural form as eG† k,AS after a β-dependent shift of the integration variable

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.401838Z

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Observation e73e9769-d61d-4c9d-b15c-52b8731f34aa · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.502608Z

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Observation 04bf6637-5ec0-4329-8964-1a6836420e95 · outbound

This paper cites Assuming Γ2 = α2σ = O(1), we have ∥M2,∞∥2↔2 = O α2σ , (F9) ∥σ−1/4 β M2,∞[σ1/4 β · σ1/4 β ]σ−1/4 β ∥2↔2 = O α2σ , (F10) Proof of Lemma F.4.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Assuming Γ2 = α2σ = O(1), we have ∥M2,∞∥2↔2 = O α2σ , (F9) ∥σ−1/4 β M2,∞[σ1/4 β · σ1/4 β ]σ−1/4 β ∥2↔2 = O α2σ , (F10) Proof of Lemma F.4

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:16.013739Z

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Observation 07e47091-0716-4e6b-a911-c9e7240209c9 · outbound

This paper cites We define eGk,H,AS (ω) = eGk,AS (ω) = Z −∞<t1≤···≤tk<∞ AS(t1)A† S(t2) · · ·e−iω Pk p=1(−1)ptp f (t1) · · ·f (tk)dt1 · · ·dtk.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions We define eGk,H,AS (ω) = eGk,AS (ω) = Z −∞<t1≤···≤tk<∞ AS(t1)A† S(t2) · · ·e−iω Pk p=1(−1)ptp f (t1) · · ·f (tk)dt1 · · ·dtk

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.313162Z

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Observation 62fe8a7d-4d2b-46f2-82c5-160831f18410 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.589845Z

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Observation 843d2f13-555b-49c4-b122-d5a2c66464f6 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.694120Z

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Observation 70c5f56f-327c-4089-9054-97bc14f1f50a · outbound

This paper cites ΦΓρ = ρ + α2M1[ρ] + α2M2[ρ].

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions ΦΓρ = ρ + α2M1[ρ] + α2M2[ρ]

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.763187Z

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Observation 62bd8727-ac4d-4b30-b366-018d562a66b4 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.846846Z

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Observation 12fd20d8-3440-4259-b275-83c97de2b71e · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.898119Z

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Observation d6670b06-26ae-410f-8a67-fffbac771885 · outbound

This paper cites Transverse field Ising model (TFIM) Recall the transverse field Ising model (TFIM) in (3): H = −J L−1X i=1 ZiZi+1 − g LX i=1 Xi , where we set J = 1 , g= 1 .2.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Transverse field Ising model (TFIM) Recall the transverse field Ising model (TFIM) in (3): H = −J L−1X i=1 ZiZi+1 − g LX i=1 Xi , where we set J = 1 , g= 1 .2

Reference 25

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Observation 2d8db988-fcb1-4003-9bb6-2bce1ee7d556 · outbound

This paper cites (d) Spectral gap of Φ Γ with different α, σ, β = ∞, and the same values of α.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions (d) Spectral gap of Φ Γ with different α, σ, β = ∞, and the same values of α

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:16.203756Z

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Observation a82f3511-7ede-45f9-8698-b2dfeed2d0be · outbound

This paper cites For those large scale numerical experiments, including TFIM-8, Hubbard-4, we simulate the state vector instead of density operator to reduce the computational cost.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions For those large scale numerical experiments, including TFIM-8, Hubbard-4, we simulate the state vector instead of density operator to reduce the computational cost

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:16.283432Z

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Observation 3a7dec20-81d8-4c26-bd44-7bfbd6c82add · outbound

This paper cites Quantum algorithm for the simulation of open-system dynamics and thermalization.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Quantum algorithm for the simulation of open-system dynamics and thermalization

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:13.999378Z

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Observation d603d75c-40d1-4b8a-b06f-415e316c7c44 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.105001Z

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Observation f45459b6-952c-4db9-b955-cef98dd782e0 · outbound

This paper cites Michailidis, Xiao Mi, Vadim Smelyanskiy, and Dmitry A.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Michailidis, Xiao Mi, Vadim Smelyanskiy, and Dmitry A

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.194368Z

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Observation b729b982-01bd-4621-9213-a07469a77a60 · outbound

This paper cites Thermal state preparation by re- peated interactions at and beyond the Lindblad limit.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Thermal state preparation by re- peated interactions at and beyond the Lindblad limit

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.325046Z

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Observation 4def7169-1d58-4c98-a885-eb06603baa31 · outbound

This paper cites Alhambra, Daniel Stilck Fran¸ ca, and Cambyse Rouz´ e.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Alhambra, Daniel Stilck Fran¸ ca, and Cambyse Rouz´ e

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.412585Z

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Observation 5be17df3-55b5-444d-a52b-d9a85789e2bb · outbound

This paper cites Rapid Mixing of Quantum Gibbs Samplers for Weakly-Interacting Quantum Systems.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Rapid Mixing of Quantum Gibbs Samplers for Weakly-Interacting Quantum Systems

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.486628Z

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Observation c42d4389-db5b-4e1d-9ba0-3111ad8cfcf4 · outbound

This paper cites The annni model-theoretical analysis and experimental application.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions The annni model-theoretical analysis and experimental application

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.566472Z

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Observation ed11153d-75e6-4642-b06e-4e16fc15c6c7 · outbound

This paper cites Quantum algorithms for cooling: a simple case study.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Quantum algorithms for cooling: a simple case study

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.616212Z

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Observation 8cab7db3-ea6f-4d54-912b-39ed42cbf9a4 · outbound

This paper cites Fast Thermalization from the Eigenstate Thermalization Hypothesis.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Fast Thermalization from the Eigenstate Thermalization Hypothesis

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.707079Z

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Observation 9e29e65f-59b3-4bdd-9bd7-94516612731a · outbound

This paper cites Efficient Quantum Gibbs Sampling with Local Circuits.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Efficient Quantum Gibbs Sampling with Local Circuits

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.760831Z

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Observation 0e75eb31-2907-4211-8664-ad4d0a5f221c · outbound

This paper cites However, rapid mixing directly implies a lower bound for the spectral gap.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions However, rapid mixing directly implies a lower bound for the spectral gap

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.839562Z

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Observation 8fc38c4c-af98-4a88-bde0-b7edae3e4fa7 · outbound

This paper cites an unresolved cited work.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.916653Z

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Observation 1d2b4662-8408-4ffb-8221-7229ba70c7c4 · outbound

This paper cites Quantum Gibbs samplers: The commuting case.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Quantum Gibbs samplers: The commuting case

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:14.962905Z

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Observation abde7c11-e353-46c2-965a-602973306ece · outbound

This paper cites Generators of detailed balance quantum Markov semigroups.

Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions Generators of detailed balance quantum Markov semigroups

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-03T18:52:15.102053Z

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Pith citing papers

Observation bc9790e5-19f9-4a05-b878-58ae97e96c3e · inbound

Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions cites this paper.

Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 749ebe62-3168-4447-a662-90645001a2ad · inbound

Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions cites this paper.

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e943e86d-8bb6-4e57-81fa-271c33cdc16f · inbound

Rigorous error bounds for dissipative thermal state preparation from weak system-bath coupling cites this paper.

Rigorous error bounds for dissipative thermal state preparation from weak system-bath coupling Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f3855477-d59d-4c25-91c9-bbf2397bb087 · inbound

Preparing thermal states of frustrated quantum spin systems using 139 qubits cites this paper.

Preparing thermal states of frustrated quantum spin systems using 139 qubits Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0d5b9d9c-bc15-48aa-917e-8c5c0860e9c4 · inbound

Preparing thermal states of frustrated quantum spin systems using 139 qubits cites this paper.

Preparing thermal states of frustrated quantum spin systems using 139 qubits Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

Reference 80

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 67c2dea8-9b6a-463f-88b5-d3e3f7fced72 · inbound

Benchmark of quantum algorithms for ground state preparation in the presence of noise cites this paper.

Benchmark of quantum algorithms for ground state preparation in the presence of noise Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:17:15.133618Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.