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Paper Citation Record · LEDGER

A Polylogarithmic-Depth Quantum Multiplier

As of 27 July 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2604.09847.

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

pith.paper-citation-record.v1
2604.09847 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T17:34:23.905757Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-27T06:30:09.085275+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact8
  • verified fuzzy13
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a34b9051-fdaa-473e-a4f6-0fe3b6f63b8e · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.855057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:53e025b5278efe11a5126ff761b2188573c1ce29ee0e18f263d1f7b8bf2ad62f

Observation 18029481-346c-4885-8f82-738d5dcaa66b · outbound

This paper cites Let us now discuss how to compute the right-hand side of Eq.

A Polylogarithmic-Depth Quantum Multiplier Let us now discuss how to compute the right-hand side of Eq

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.858582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:12c14d28fec6d6362bd345d283ae1921083197b81bd0c4236956254418771b24

Observation 2530b1c4-edc1-4a0e-a6d8-dc080fa138ee · outbound

This paper cites This subsection provides an efficient approach to uncom- pute ancillas corresponding to intermediate partial sums produced by theparallel adder tree.

A Polylogarithmic-Depth Quantum Multiplier This subsection provides an efficient approach to uncom- pute ancillas corresponding to intermediate partial sums produced by theparallel adder tree

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.844525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:6259c4e3104827aab59970372afd519402cff98ceeeb24f7607d9c4672751146

Observation 762233d7-95f4-4588-aa66-b6fe1949a57d · outbound

This paper cites We exploit this property to reuse ancillas across lay- ers of the tree.

A Polylogarithmic-Depth Quantum Multiplier We exploit this property to reuse ancillas across lay- ers of the tree

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.841003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:e5cd21851b43b187846d6890c73a2643c870803fdd8ced7df70232acad628a6b

Observation e3633075-30e7-4c58-9289-17bbbee9204b · outbound

This paper cites We consider the contribution of each stage of the modified adder.

A Polylogarithmic-Depth Quantum Multiplier We consider the contribution of each stage of the modified adder

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.861892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:e4841f95abbd8382b14d779170d34562e27757ef7a7a619a4404fc2c3d9df25e

Observation 4e2b2f73-d4f2-41d2-b0bb-fa2150ef5291 · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.874457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:29c7e1f15b637fedf73f4b78c437e1f7f55741d1612a1d6d5aeee5fc9c9a93a2

Observation 22a4a5e4-600d-496a-8113-293d6fd429a6 · outbound

This paper cites Pavlidis and D.

A Polylogarithmic-Depth Quantum Multiplier Pavlidis and D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.877617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:ceabced4e255ca1681e6d5bfaa1b4352af0aada659021f93e19a38322bc3890d

Observation 23306802-d619-4a0c-8dd3-3a3eb87066d0 · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.868217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:b0c490ebfe2a89d372985243a145ee8c9a198707515b489d8bd3f4146f6388bc

Observation 6685e8b6-23c9-4710-9357-36e36729f044 · outbound

This paper cites Quantum A lgorithm for Linear Systems of Equations.

A Polylogarithmic-Depth Quantum Multiplier Quantum A lgorithm for Linear Systems of Equations

Reference 9

Resolution
verified exact
doi, observed 2026-05-10T17:35:39.206600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:192628d6f56119cf84e2202ca58397a83d4a0262aa9f3e4ae74cab378c6bf76e

Observation bec7e4be-f07a-48a4-ad2d-0f389c9515f1 · outbound

This paper cites \ Berry , author Andrew M.

A Polylogarithmic-Depth Quantum Multiplier \ Berry , author Andrew M

Reference 10

Resolution
verified exact
doi, observed 2026-05-10T17:35:39.203091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:8435fbb115885ca2491e3d283cacf02d58dd29d48615ae0e9a00a82ad13511a6

Observation bbcdfdb4-0686-4f5e-a228-95f54f6047a4 · outbound

This paper cites A Comprehensive Study of Quantum Arithmetic Circuits.

A Polylogarithmic-Depth Quantum Multiplier A Comprehensive Study of Quantum Arithmetic Circuits

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:36:03.060627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:26b0832d45e8ec52c87ef731d86779079afe383df63f9a50797c2d66a949e03a

Observation e24251e0-0a07-4505-b270-fa8fcdddc81a · outbound

This paper cites A new quantum ripple-carry addition circuit.

A Polylogarithmic-Depth Quantum Multiplier A new quantum ripple-carry addition circuit

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:36:03.067675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:04d6acf56bf9dc858f6b7df4739b20e701d647a6edce33de96b5b8dbad6f39a5

Observation b6b4b2c5-0f69-4346-bf91-d94bef2c64e8 · outbound

This paper cites A logarithmic-depth quantum carry-lookahead adder.

A Polylogarithmic-Depth Quantum Multiplier A logarithmic-depth quantum carry-lookahead adder

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:36:03.072160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:251d77ed20c03bf6f6309f69b4adcca5a65860ed1defd49962d408c3f1c63b9d

Observation 79e9c066-519a-4cce-ac28-8fbaa9cf66a5 · outbound

This paper cites Quantum arithmetic with the quantum Fourier transform.

A Polylogarithmic-Depth Quantum Multiplier Quantum arithmetic with the quantum Fourier transform

Reference 14

Resolution
verified exact
doi, observed 2026-05-10T17:35:39.210007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:947b8bfa84b7b0dcefffe74ded6b7f0b8e68a10b4d9054de4065b9586280e266

Observation ac43fc9e-b163-4ea3-9d29-114f1ff08833 · outbound

This paper cites A Classical-Quantum Adder with Constant Workspace and Linear Gates.

A Polylogarithmic-Depth Quantum Multiplier A Classical-Quantum Adder with Constant Workspace and Linear Gates

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:36:03.077460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:9e47f2d311d411a13c3d6657ccebe80e807653bb1d10bf3b3e45b79b6f7b5909

Observation 3387e11e-d966-41a4-a249-6ba35681fd62 · outbound

This paper cites Selinger, Quantum circuits oft-depth one, Phys.

A Polylogarithmic-Depth Quantum Multiplier Selinger, Quantum circuits oft-depth one, Phys

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.865099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:0e2e17c426c6f442160f0f11a9d29ed4a34ad4f7f4c9389e7b0ed8fcd2564bd0

Observation a1f5eb32-cb15-4652-b6e2-92faa97fe192 · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.880654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:bf4df45faf490cafc164f5a79b8511ddc3497d96c33d0b742e1c215226ce737f

Observation 7cf68dd9-73d1-48a1-a497-0971e1cf2ebb · outbound

This paper cites Mu˜ noz-Coreas and H.

A Polylogarithmic-Depth Quantum Multiplier Mu˜ noz-Coreas and H

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.851134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:823e2b0ddf5e131af8401cfa60625c981232d0f68eaf1e4d80e0adb699d72e8b

Observation 9e56dbdf-fde1-484a-8391-563b35468209 · outbound

This paper cites Improved reversible and quantum circuits for Karatsuba-based integer multiplication.

A Polylogarithmic-Depth Quantum Multiplier Improved reversible and quantum circuits for Karatsuba-based integer multiplication

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-07-04T21:59:57.380255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:f6ee227ec304b56585856c309b28e270b8ffcbc7d84971e3b5af4450d9fc782c

Observation ccdd8be3-58e1-4f7f-92c9-299daa992736 · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.871327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:997fed4ec92d52029125eeb7002ba1f3ec8c9c4ee49e45e9a76008970865001e

Observation 2a100eac-11d8-4673-a10a-869764f3a38f · outbound

This paper cites an unresolved cited work.

A Polylogarithmic-Depth Quantum Multiplier Unresolved cited work

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-17T09:54:24.847984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-27T06:30:09.085275+00:00.

source=pdf_text observed=2026-05-10T17:34:23.905757Z digest=sha256:c27ad6bdb2efadf105b41b86db606e196afc981edca8f1a68ffa52a5d5cb4b0b

Pith citing papers

No inbound Pith citation observations are available.