Paper Citation Record · LEDGER

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank

As of 23 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2607.04488.

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

pith.paper-citation-record.v1
2607.04488 v2

Coverage vector

measured 20 of 20 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T06:59:16.256970Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T06:59:16.256970Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

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External citation measurements

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Outbound references

Observation dda93365-ef4c-4512-a5f4-1f06169aa9c0 · outbound

This paper cites Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d94497dd-e8c2-402b-b824-ad0095fd5859 · outbound

This paper cites Conversely, any traceless Hermitian rank-two operator has spectrum{λ,−λ}with λ̸= 0, and thereforeR(X) = √.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Conversely, any traceless Hermitian rank-two operator has spectrum{λ,−λ}with λ̸= 0, and thereforeR(X) = √

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Unavailable: canonical work link unavailable.

Observation 6aac8303-6c03-4215-83c0-828a6e18cbb1 · outbound

This paper cites For the upper bound we minimize the denominator for fixedQ,m,n.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank For the upper bound we minimize the denominator for fixedQ,m,n

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e800a36-01c4-44ca-a660-d511523aa82f · outbound

This paper cites Hence every nonstationary differentiable qubit evolution satisfiesR=√ 2.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Hence every nonstationary differentiable qubit evolution satisfiesR=√ 2

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 069faf1b-dcc6-43d0-b969-76edbb399f0f · outbound

This paper cites For convenience, one may work in any instantaneous eigenbasis and set Dij =δij∂ϕpi, O ij = (1−δij)Xij, which reproduces the projector form on intervals of con- stant multiplicity.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank For convenience, one may work in any instantaneous eigenbasis and set Dij =δij∂ϕpi, O ij = (1−δij)Xij, which reproduces the projector form on intervals of con- stant multiplicity

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77ad4271-019b-4862-94f5-ed884f10f282 · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8f92b98-9603-4667-bf30-0dc622103fda · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59e0daa6-21de-4ad2-8456-7409df6608dc · outbound

This paper cites Gessner and A.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Gessner and A

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

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Observation 5c879cec-df21-4233-bb82-f60c5547f41a · outbound

This paper cites Deffner and S.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Deffner and S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 6d138506-f6ce-4139-a730-1610bb4f5dda · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 8ec5d0ef-23c5-405f-a326-1cb72adc3769 · outbound

This paper cites Rangani Jahromi, K.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Rangani Jahromi, K

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 2655493c-dc3d-4dc8-afba-07966318bfb7 · outbound

This paper cites Rangani Jahromi and R.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Rangani Jahromi and R

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 22d44ba6-330e-427c-9665-a18c7406c01c · outbound

This paper cites Alizadeh, M.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Alizadeh, M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation f1106f8f-33ab-4783-8f47-0027bbf498be · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 66b3ce72-e31d-4834-93b6-fd81301da6df · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

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Observation 1b667d21-030f-4af6-8b12-5b1b2a9b9bb8 · outbound

This paper cites Mandelstam and I.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Mandelstam and I

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7045c59f-7e05-4aa9-82d7-a6dcd1887aeb · outbound

This paper cites Giovannetti, S.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Giovannetti, S

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

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Observation aa3dc3bd-144d-46fd-a777-9e3f5b1ccedc · outbound

This paper cites an unresolved cited work.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bb473ce-af4c-438c-8c14-c08ff1f8ebd2 · outbound

This paper cites del Campo, I.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank del Campo, I

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

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Observation 38367e09-b776-429e-9a6c-d1df6b9e6271 · outbound

This paper cites Deffner and E.

Trace-to-Hilbert-Schmidt Speed Ratio in Quantum Dynamics: Universal Bounds and Effective Rank Deffner and E

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-13T06:59:16.256970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation bfb3d38f-0476-4820-abb2-12a8e2dcb536 · inbound