Paper Citation Record · LEDGER

Complexity-driven transitions in quantum observation

As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2606.09765.

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

pith.paper-citation-record.v1
2606.09765 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T16:28:22.535071Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:15:52.352943Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:15:53.013751Z

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy0
unresolved26
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 07ccefb3-cfe3-4a31-8a7f-862476e4f3ae · outbound

This paper cites We show that every low-depth measurement almost completely destroys this coherence.

Complexity-driven transitions in quantum observation We show that every low-depth measurement almost completely destroys this coherence

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da48a660-7087-450c-9d29-198e7be2b0e0 · outbound

This paper cites For a fixed circuitUbelow the depth threshold, leta z =⟨z∣U∣η0⟩, bz =⟨z∣U∣η1⟩.

Complexity-driven transitions in quantum observation For a fixed circuitUbelow the depth threshold, leta z =⟨z∣U∣η0⟩, bz =⟨z∣U∣η1⟩

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ede08af-a1e8-4623-bc8e-4973df26d743 · outbound

This paper cites Then uTI MU E (θ)u=I t,u TJE(θ)u=J t,(14) whereI t andJ t are respectively the CFI and QFI of the one-parameter encoding.

Complexity-driven transitions in quantum observation Then uTI MU E (θ)u=I t,u TJE(θ)u=J t,(14) whereI t andJ t are respectively the CFI and QFI of the one-parameter encoding

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29199517-f69d-4fa7-9990-2ec828d001ee · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd165d6a-c54b-4a91-9bdf-d242cd402844 · outbound

This paper cites To implement this efficiently without the de- manding overhead of the full Clifford group, we constructCvia a restricted finite-field Clifford ensemble.

Complexity-driven transitions in quantum observation To implement this efficiently without the de- manding overhead of the full Clifford group, we constructCvia a restricted finite-field Clifford ensemble

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 525b269d-eda8-43ca-8d7f-5971a826bbf1 · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e235ff9-552c-4ace-b836-d9ebfd3ad788 · outbound

This paper cites Theorem 6(Finite-dimensional implementation of LRFC components).Fix an architecture dimensionδ≥1.

Complexity-driven transitions in quantum observation Theorem 6(Finite-dimensional implementation of LRFC components).Fix an architecture dimensionδ≥1

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16b35e7a-3ab2-44bb-8748-d21a16cb25d5 · outbound

This paper cites The key point is that, for every low-depth circuit, one can identify many qubits whose backward light cones are pairwise disjoint and each supported on a small set.

Complexity-driven transitions in quantum observation The key point is that, for every low-depth circuit, one can identify many qubits whose backward light cones are pairwise disjoint and each supported on a small set

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60642e43-ed5d-4dc0-8743-8a8728bda30f · outbound

This paper cites The proof has three steps:.

Complexity-driven transitions in quantum observation The proof has three steps:

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29cbee03-b530-4f2b-bd69-71a36f167b8c · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bb74020-dd73-4374-af94-28922b4c6959 · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fad4a2a1-2b6c-4684-953c-d5a41f0fd485 · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66dbcca2-e6a3-4d64-be5b-2ae138b31c30 · outbound

This paper cites We first considerδD circuits, where the relevant light-cone blocks can be chosen deterministically from the underlying geometry.

Complexity-driven transitions in quantum observation We first considerδD circuits, where the relevant light-cone blocks can be chosen deterministically from the underlying geometry

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7013121a-f8e9-4120-b595-dfc2ea06f33c · outbound

This paper cites First, consider a randomized single-copy measurement.

Complexity-driven transitions in quantum observation First, consider a randomized single-copy measurement

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb881901-4130-40c5-9589-dc876462bce7 · outbound

This paper cites LetQ=[n]be the data register and letAbe an arbitrary ancilla register initialized in a fixed stateτ A.

Complexity-driven transitions in quantum observation LetQ=[n]be the data register and letAbe an arbitrary ancilla register initialized in a fixed stateτ A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 989e0663-041f-4e9f-9eb9-267d3ab28f1f · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdfcc6ae-b7cb-4552-9aca-80687de6a3de · outbound

This paper cites The first primitive implements constant-width local updates at every coefficient position.

Complexity-driven transitions in quantum observation The first primitive implements constant-width local updates at every coefficient position

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43457ae8-4e69-4c83-809e-2a60722ca5cf · outbound

This paper cites The polynomial-multiplication primitive will be used over two types of coefficient rings.

Complexity-driven transitions in quantum observation The polynomial-multiplication primitive will be used over two types of coefficient rings

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f26b5342-cd73-45cb-8a82-ef1462ea3277 · outbound

This paper cites The following reciprocal identity allows us to perform that reduction with only a constant number of polynomial multiplications.

Complexity-driven transitions in quantum observation The following reciprocal identity allows us to perform that reduction with only a constant number of polynomial multiplications

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b76cc2ce-6651-44b4-9264-6d7dcd68743a · outbound

This paper cites Allocate a clean registerX j and computeX j ←Xj +R {j}Gj, obtainingX j =x j for 1≤j≤T.

Complexity-driven transitions in quantum observation Allocate a clean registerX j and computeX j ←Xj +R {j}Gj, obtainingX j =x j for 1≤j≤T

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0603acf-f727-4e14-994e-7e7db67f5dd7 · outbound

This paper cites HenceT∈F 2.

Complexity-driven transitions in quantum observation HenceT∈F 2

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 315c7ec2-9ebd-4018-8992-58d8e1cea007 · outbound

This paper cites Fora, b∈K, define Xa∣x⟩∶=∣x+a⟩, Zb∣x⟩∶=(−1)Tr(bx)∣x⟩.(F11) These satisfyZ bXa =(−1)Tr(ab)XaZb.

Complexity-driven transitions in quantum observation Fora, b∈K, define Xa∣x⟩∶=∣x+a⟩, Zb∣x⟩∶=(−1)Tr(bx)∣x⟩.(F11) These satisfyZ bXa =(−1)Tr(ab)XaZb

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a8101d5-4ab2-41c6-9115-cd26940c6f4e · outbound

This paper cites an unresolved cited work.

Complexity-driven transitions in quantum observation Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c493c6f-2a14-4bbd-84fb-7de7797c4292 · outbound

This paper cites , Pm be disjoint patches whose union is the full set ofndata qubits, withm≥2.

Complexity-driven transitions in quantum observation , Pm be disjoint patches whose union is the full set ofndata qubits, withm≥2

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36a29230-6b7a-4c93-a5fc-67e12b50eb35 · outbound

This paper cites LetΛbe an even-size block ofℓ=2hqubits, with a bipartitionΛ=Λ L⊔ΛR and∣ΛL∣=∣ΛR∣=h.

Complexity-driven transitions in quantum observation LetΛbe an even-size block ofℓ=2hqubits, with a bipartitionΛ=Λ L⊔ΛR and∣ΛL∣=∣ΛR∣=h

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 710f0f92-8c2d-4261-b2a2-d6e17028aeac · outbound

This paper cites Theorem S4(Unitary designs withδD low-depth implementations, formal version of Theorem 4).Fixδ≥1.

Complexity-driven transitions in quantum observation Theorem S4(Unitary designs withδD low-depth implementations, formal version of Theorem 4).Fixδ≥1

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T16:28:22.535071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation f90f6bed-0cac-43d8-bead-d0b50767f284 · inbound

Near-optimal quantum metrology with few-qubit measurements cites this paper.

Near-optimal quantum metrology with few-qubit measurements Complexity-driven transitions in quantum observation

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:15:53.017868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.