Paper Citation Record · LEDGER

A Simple Proof that Toffoli and Hadamard are Quantum Universal

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 22 inbound Pith citation observations for arXiv:quant-ph/0301040.

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

pith.paper-citation-record.v1
quant-ph/0301040 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

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 22 of 22 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:44:10.095034Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

130
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1665461e-04dd-4313-ab83-e4b6ad93b467 · inbound

Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits cites this paper.

Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T13:12:29.830767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6592278d-9cb9-4066-8409-6db54704427e · inbound

Ancilla-Error-Transparent Controlled Beam Splitter Gate cites this paper.

Ancilla-Error-Transparent Controlled Beam Splitter Gate A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-05-24T12:59:29.316615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bab34851-02bc-4e68-b71c-f02f59bd3a1f · inbound

AutoQ 2.0: From Verification of Quantum Circuits to Verification of Quantum Programs (Technical Report) cites this paper.

AutoQ 2.0: From Verification of Quantum Circuits to Verification of Quantum Programs (Technical Report) A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-05-23T18:03:17.772874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cda304bc-1330-4012-8e04-320fcfdcb18a · inbound

Eigenstate Preparation on Quantum Computers cites this paper.

Eigenstate Preparation on Quantum Computers A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T11:45:21.472780Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72f1f060-9508-44e4-9288-8b08c6e81a35 · inbound

A Toffoli Gate Decomposition via Echoed Cross-Resonance Gates cites this paper.

A Toffoli Gate Decomposition via Echoed Cross-Resonance Gates A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-10T22:17:14.777638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0092729d-2980-4e06-9a78-f1e7b63bdd67 · inbound

Highly-entangled, highly-doped states that are efficiently cross-device verifiable cites this paper.

Highly-entangled, highly-doped states that are efficiently cross-device verifiable A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T18:11:25.963642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05d5f018-9eb7-4b23-82c3-87ad6189a449 · inbound

The Hardness of Learning Quantum Circuits and its Cryptographic Applications cites this paper.

The Hardness of Learning Quantum Circuits and its Cryptographic Applications A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T11:44:10.095034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a1b3bd2-51b4-4a56-b778-2d8e5a4ddbd4 · inbound

Progress in the development of quantum algorithms and software cites this paper.

Progress in the development of quantum algorithms and software A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 119

Resolution: unresolved; no resolver link, observed 2026-08-15T23:37:18.697654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f296c87-7caa-4eb2-9a25-a972fca37d14 · inbound

Engineering long-range and multi-body interactions via global kinetic constraints cites this paper.

Engineering long-range and multi-body interactions via global kinetic constraints A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 31

Resolution: metadata mismatch; local_arxiv, observed 2026-05-22T16:01:46.228453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1269b1f1-807f-4886-91ae-09721dacc7e9 · inbound

On the quantum computational complexity of classical linear dynamics with geometrically local interactions: Dequantization and universality cites this paper.

On the quantum computational complexity of classical linear dynamics with geometrically local interactions: Dequantization and universality A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-15T21:25:34.176863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfcedac5-e6c6-4f2b-808e-c572156ddde3 · inbound

A small and interesting architecture for early fault-tolerant quantum computers cites this paper.

A small and interesting architecture for early fault-tolerant quantum computers A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-15T17:55:03.413755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd1ff996-6638-44f2-8f25-432ef3b2159b · inbound

Practical Fidelity Limits of Toffoli Gates in Superconducting Quantum Processors cites this paper.

Practical Fidelity Limits of Toffoli Gates in Superconducting Quantum Processors A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-05T05:41:46.445016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4febfb7-7300-4901-be4d-6b1cea1f2828 · inbound

No-Go Theorem on Fault Tolerant Gadgets for Multiple Logical Qubits cites this paper.

No-Go Theorem on Fault Tolerant Gadgets for Multiple Logical Qubits A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T23:50:42.667547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abe5070d-c614-4975-80c4-c5d169e6929f · inbound

Exponential quantum advantage in processing massive classical data cites this paper.

Exponential quantum advantage in processing massive classical data A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 180

Resolution: verified exact; arxiv_id, observed 2026-05-11T07:26:00.200577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cd77d563-f4e7-4b2a-b217-a580834b3853 · inbound

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry cites this paper.

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-11T23:41:15.330278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bde7b26c-acbb-4564-8d74-5b2c2e0d04c0 · inbound

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry cites this paper.

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:11:14.213576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e720c0c3-8db8-49d6-93de-931a8520615b · inbound

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry cites this paper.

Toward fault-tolerant quantum computation exploiting quantum spatial distribution and gauge symmetry A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-13T06:22:23.446054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0ef658a7-f9f8-4e34-b4a1-864a0d40669b · inbound

A sharp interaction-degree threshold for simulating QAOA cites this paper.

A sharp interaction-degree threshold for simulating QAOA A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-06-30T16:24:55.899113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 98402b89-85cc-4d7b-8998-f91768ae257e · inbound

From Pauli Strings to Quantum Dynamics: A Unified Characterization cites this paper.

From Pauli Strings to Quantum Dynamics: A Unified Characterization A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 232

Resolution: verified exact; local_arxiv, observed 2026-07-03T01:37:31.190039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 441a003e-596d-42f8-8ac2-ca0895dff5c6 · inbound

On the Complexity of the Circuit Width Problem cites this paper.

On the Complexity of the Circuit Width Problem A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 23

Resolution: metadata mismatch; local_arxiv, observed 2026-07-03T23:49:02.375014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5bb93259-ec57-4cd5-b7c2-3c1b472ce158 · inbound

Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators cites this paper.

Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T04:37:14.895633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 832c362f-7a93-4885-915c-7d95ed31b837 · inbound

Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators cites this paper.

Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators A Simple Proof that Toffoli and Hadamard are Quantum Universal

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T14:54:35.942206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.