Paper Citation Record · LEDGER

Ancilla-free Quantum Adder with Sublinear Depth

As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 3 inbound Pith citation observations for arXiv:2501.16802.

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

pith.paper-citation-record.v1
2501.16802 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T10:48:18.789944Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:48:31.896909Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:27:49.180732Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy12
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14fa0b11-39b9-41bf-92e3-f5898c97103f · outbound

This paper cites Quantum circuit for multi-qubit Toffoli gate with optimal resource.

Ancilla-free Quantum Adder with Sublinear Depth Quantum circuit for multi-qubit Toffoli gate with optimal resource

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.741663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53c79a20-7b82-4b2d-889c-53638d35f3f0 · outbound

This paper cites Rise of conditionally clean ancillae for efficient quantum circuit constructions.

Ancilla-free Quantum Adder with Sublinear Depth Rise of conditionally clean ancillae for efficient quantum circuit constructions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.745529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9ae9f24-e58b-4345-abbc-d22a90cfe116 · outbound

This paper cites Polynomial-time algorithms for prime factorization and discrete loga- rithms on a quantum computer.

Ancilla-free Quantum Adder with Sublinear Depth Polynomial-time algorithms for prime factorization and discrete loga- rithms on a quantum computer

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.068844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a277c3e-407e-4a20-9149-5c80a218d514 · outbound

This paper cites Quantum networks for elementary arithmetic operations.

Ancilla-free Quantum Adder with Sublinear Depth Quantum networks for elementary arithmetic operations

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.751099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07297d13-4837-440f-9edc-020a418e8cc5 · outbound

This paper cites A quantum circuit for Shor’s factoring algorithm using 2n+2 qubits.

Ancilla-free Quantum Adder with Sublinear Depth A quantum circuit for Shor’s factoring algorithm using 2n+2 qubits

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.058631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1f2abdf-9049-46ae-93f9-7d4f0b422fe2 · outbound

This paper cites Factoring with n+2 clean qubits and n-1 dirty qubits.

Ancilla-free Quantum Adder with Sublinear Depth Factoring with n+2 clean qubits and n-1 dirty qubits

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.756069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5439971c-8827-4454-a210-6024ce718689 · outbound

This paper cites A Subexponential Time Algorithm for the Dihedral Hidden Subgroup Problem with Polynomial Space.

Ancilla-free Quantum Adder with Sublinear Depth A Subexponential Time Algorithm for the Dihedral Hidden Subgroup Problem with Polynomial Space

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T10:48:18.957099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c802cd94-3d7b-440f-8e03-291289f9949e · outbound

This paper cites Faster quantum chemistry simulation on fault-tolerant quantum computers.

Ancilla-free Quantum Adder with Sublinear Depth Faster quantum chemistry simulation on fault-tolerant quantum computers

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.051328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39c7ae31-aa6c-4b82-a853-a07837f4fedc · outbound

This paper cites A quantum deep convolutionalneuralnetworkforimagerecognition.

Ancilla-free Quantum Adder with Sublinear Depth A quantum deep convolutionalneuralnetworkforimagerecognition

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.044102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 631d3546-f017-4d38-b2da-26a262b21c19 · outbound

This paper cites Addition on a quantum computer.

Ancilla-free Quantum Adder with Sublinear Depth Addition on a quantum computer

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.765281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 269f9a25-665b-4578-8238-6af0ace7d65f · outbound

This paper cites Factoring using 2n + 2 qubits with toffoli based modular multiplication.

Ancilla-free Quantum Adder with Sublinear Depth Factoring using 2n + 2 qubits with toffoli based modular multiplication

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.036167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 58c9766c-cd77-48ef-be9b-7c1b73f5e510 · outbound

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

Ancilla-free Quantum Adder with Sublinear Depth A logarithmic-depth quantum carry-lookahead adder

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.029104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b800352-b55a-47a3-83a1-57782ca70951 · outbound

This paper cites A fast quantum circuit for addition with few qubits.

Ancilla-free Quantum Adder with Sublinear Depth A fast quantum circuit for addition with few qubits

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.022563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 84f237bb-3864-4900-b16f-0fe27bf09f62 · outbound

This paper cites Quantum addition circuits and unbounded fan-out.

Ancilla-free Quantum Adder with Sublinear Depth Quantum addition circuits and unbounded fan-out

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.015058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8dfe9046-fea8-43d7-93fa-314631a4d30b · outbound

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

Ancilla-free Quantum Adder with Sublinear Depth A new quantum ripple-carry addition circuit

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T10:48:18.776463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48b8e027-37f3-4519-a0fb-c0995b5075c4 · outbound

This paper cites Quantum lower bounds for fanout.

Ancilla-free Quantum Adder with Sublinear Depth Quantum lower bounds for fanout

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:19.006310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2005cbdf-50d4-4295-9ceb-497dbfd0277d · outbound

This paper cites Parallelizing quantum circuits.

Ancilla-free Quantum Adder with Sublinear Depth Parallelizing quantum circuits

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:18.998687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9863f696-13cf-4b1b-aa34-e37629b08de9 · outbound

This paper cites Quantum binary field multiplication with subquadratic Toffoli gate count and low space-time cost.

Ancilla-free Quantum Adder with Sublinear Depth Quantum binary field multiplication with subquadratic Toffoli gate count and low space-time cost

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T10:48:18.815345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a6a7cb62-16bb-4300-ba3b-2534a002165c · outbound

This paper cites Constructing large controlled nots.

Ancilla-free Quantum Adder with Sublinear Depth Constructing large controlled nots

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:18.992070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e3548bda-a335-44b1-837c-003ea249d669 · outbound

This paper cites Constructing large increment gates.

Ancilla-free Quantum Adder with Sublinear Depth Constructing large increment gates

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T10:48:18.984663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation bb9df713-a76f-4a6b-b3fb-d426aed488ce · inbound

On Exact Space-Depth Trade-Offs in Multi-Controlled Toffoli Decomposition cites this paper.

On Exact Space-Depth Trade-Offs in Multi-Controlled Toffoli Decomposition Ancilla-free Quantum Adder with Sublinear Depth

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T15:28:21.297298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9eb9896f-d9ac-45cb-9942-893fc909c018 · inbound

A log-depth in-place quantum Fourier transform that rarely needs ancillas cites this paper.

A log-depth in-place quantum Fourier transform that rarely needs ancillas Ancilla-free Quantum Adder with Sublinear Depth

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T04:48:31.896909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90ee071b-7749-44f3-a9cd-1deb129d480b · inbound

Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits cites this paper.

Logarithmic Depth Decomposition of Approximate Multi-Controlled Single-Qubit Gates Without Ancilla Qubits Ancilla-free Quantum Adder with Sublinear Depth

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:27:49.187188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.