Paper Citation Record · LEDGER

An unconditional distribution learning advantage with shallow quantum circuits

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2411.15548.

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

pith.paper-citation-record.v1
2411.15548 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:20:05.926510Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:06:09.556917Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T21:06:09.606090Z

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy22
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ce2d8db9-7cd3-4f40-9b1d-42969865f8b3 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.624894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8d557e2b-539c-460e-80ee-a452d4a972d6 · outbound

This paper cites edge” qubits of the state vector |PMn⟩. The lower box indicates the n “vertex.

An unconditional distribution learning advantage with shallow quantum circuits edge” qubits of the state vector |PMn⟩. The lower box indicates the n “vertex

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.607138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04072e8b-f186-4ce0-a106-d8a415c2edcc · outbound

This paper cites Arute et al., Quantum supremacy using a programmable superconducting processor, Nature 574, 505 (2019).

An unconditional distribution learning advantage with shallow quantum circuits Arute et al., Quantum supremacy using a programmable superconducting processor, Nature 574, 505 (2019)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.749717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e17edcb-adfb-414e-bfa4-a331ec6fce7c · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.590696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4d856a22-40ef-45cb-96b8-2d6ef4d6aef2 · outbound

This paper cites Montanaro, Quantum algorithms: an overview, npj Quant.

An unconditional distribution learning advantage with shallow quantum circuits Montanaro, Quantum algorithms: an overview, npj Quant

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.574902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bfcb89c7-8a5c-4259-99bf-d4d55756f5d4 · outbound

This paper cites Carleo, I.

An unconditional distribution learning advantage with shallow quantum circuits Carleo, I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.516360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4facda95-f895-408b-a667-2dfabb2f9d91 · outbound

This paper cites Hangleiter and J.

An unconditional distribution learning advantage with shallow quantum circuits Hangleiter and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.544871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1df2db6f-aa81-4ca9-a3e9-bac4eba50594 · outbound

This paper cites Biamonte, P.

An unconditional distribution learning advantage with shallow quantum circuits Biamonte, P

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.759669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 797d44b5-67e7-498b-8bce-bbefe27d76a2 · outbound

This paper cites Sweke, J.-P.

An unconditional distribution learning advantage with shallow quantum circuits Sweke, J.-P

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.482935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e72a88c6-f37b-4c11-819c-d975dd527ca7 · outbound

This paper cites Schuld and N.

An unconditional distribution learning advantage with shallow quantum circuits Schuld and N

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.499887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c3244e02-f65a-477c-bb22-9ef858f9904d · outbound

This paper cites On establishing learning separations between classical and quantum machine learning with classical data.

An unconditional distribution learning advantage with shallow quantum circuits On establishing learning separations between classical and quantum machine learning with classical data

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.776147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb7a05b0-0299-4546-a8f6-c54166b185c1 · outbound

This paper cites Jerbi, C.

An unconditional distribution learning advantage with shallow quantum circuits Jerbi, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.433324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a1728806-f06e-4e93-b801-4ed701817111 · outbound

This paper cites Pirnay, R.

An unconditional distribution learning advantage with shallow quantum circuits Pirnay, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.464438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38a49743-0552-4ccc-8b21-05ed52a2c3b0 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.790867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b789edd8-88e6-45a4-bc1a-21e7ffd29f32 · outbound

This paper cites Deshpande, P.

An unconditional distribution learning advantage with shallow quantum circuits Deshpande, P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.385422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d95c1cb7-e5db-4db7-8a82-6a51759ae871 · outbound

This paper cites Hinsche, M.

An unconditional distribution learning advantage with shallow quantum circuits Hinsche, M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.417955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 128e7d92-6462-4e5b-9e40-4e7e6be78347 · outbound

This paper cites To be more precise, Ref.

An unconditional distribution learning advantage with shallow quantum circuits To be more precise, Ref

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.641611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c363026-b90f-4f18-b1b7-2d87ee1b8267 · outbound

This paper cites Stilck Franca and R.

An unconditional distribution learning advantage with shallow quantum circuits Stilck Franca and R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.400941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2fedd369-aa8d-4149-8f65-94b916b95ae1 · outbound

This paper cites Bravyi, D.

An unconditional distribution learning advantage with shallow quantum circuits Bravyi, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.368888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5e5fa35-7d12-4788-9b7b-9347928a3826 · outbound

This paper cites Unconditional Quantum Advantage for Sampling with Shallow Circuits.

An unconditional distribution learning advantage with shallow quantum circuits Unconditional Quantum Advantage for Sampling with Shallow Circuits

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T14:20:06.039870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 71108200-fe84-41ff-8945-d52d22ae4fe9 · outbound

This paper cites Arunachalam, A.

An unconditional distribution learning advantage with shallow quantum circuits Arunachalam, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.352806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b6f5daf-87ad-40fc-9590-cf12b79a57bc · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.335438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91cab00a-1edb-4f4f-9778-3659f7fe7bf5 · outbound

This paper cites Piroli, G.

An unconditional distribution learning advantage with shallow quantum circuits Piroli, G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.318630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9144f21c-5d24-4138-93f6-9825d919079a · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.303638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4c619a11-0659-42f9-a06e-97467ecd3b92 · outbound

This paper cites Viola, The complexity of distributions, SIAM J.

An unconditional distribution learning advantage with shallow quantum circuits Viola, The complexity of distributions, SIAM J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.287666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0bf37e99-e482-4eaf-9199-c286a7f6c17e · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.270611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 98707255-48f0-49d5-b845-20329041319a · outbound

This paper cites Mossel, R.

An unconditional distribution learning advantage with shallow quantum circuits Mossel, R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.254833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 042d15f9-6cbf-4f4d-aa80-f70f771f7d96 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.238109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1c9f360b-e68b-4c43-abb3-befb69832a13 · outbound

This paper cites Learning shallow quantum circuits.

An unconditional distribution learning advantage with shallow quantum circuits Learning shallow quantum circuits

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.868214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f614a7c2-8c40-4c93-a756-96f100f99460 · outbound

This paper cites Learning shallow quantum circuits with many-qubit gates.

An unconditional distribution learning advantage with shallow quantum circuits Learning shallow quantum circuits with many-qubit gates

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.873053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65bd76e6-b459-41ef-946d-7c0c4cb35c2f · outbound

This paper cites Counting, Fanout, and the Complexity of Quantum ACC.

An unconditional distribution learning advantage with shallow quantum circuits Counting, Fanout, and the Complexity of Quantum ACC

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-12T14:20:05.879037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 627b5d29-160b-43c1-9a35-c2ef1889f562 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.222340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aaa5b53c-11a3-4f85-a196-1c036ddaacab · outbound

This paper cites Barenco, C.

An unconditional distribution learning advantage with shallow quantum circuits Barenco, C

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.206060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d0e493f6-5fc0-4951-b92d-c518703ce193 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.188761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3357acc8-fedc-4c9b-8136-c7b954be90ed · outbound

This paper cites Jerbi, A.

An unconditional distribution learning advantage with shallow quantum circuits Jerbi, A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.170261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1d29d278-ad76-4a31-96ff-2d39b506e7ea · outbound

This paper cites [17], the Um,θ gates can be compiled into arbitrary one-qubit gates and two-qubit CNOT gates.

An unconditional distribution learning advantage with shallow quantum circuits [17], the Um,θ gates can be compiled into arbitrary one-qubit gates and two-qubit CNOT gates

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.148858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 23fdd6cf-df49-4ab2-a8c0-8f695187fa41 · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.130306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d49b0f17-3ca4-45f9-8aef-75fd4dc827b2 · outbound

This paper cites If none such k∗ is found, output failure.

An unconditional distribution learning advantage with shallow quantum circuits If none such k∗ is found, output failure

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.111738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5effdac1-c7d9-4203-b753-31bf7b21ab7d · outbound

This paper cites an unresolved cited work.

An unconditional distribution learning advantage with shallow quantum circuits Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:20:06.094041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation aeac56a6-4864-41c5-a7b9-247fbb109c36 · outbound

This paper cites It follows that f is increasing to a maximum and then decreasing in the interval [0, 1 2 ].

An unconditional distribution learning advantage with shallow quantum circuits It follows that f is increasing to a maximum and then decreasing in the interval [0, 1 2 ]

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:20:06.076388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation e1b2e5ad-63a8-43a7-a013-1fe4a8907a47 · inbound

Hardness of Quantum Distribution Learning and Quantum Cryptography cites this paper.

Hardness of Quantum Distribution Learning and Quantum Cryptography An unconditional distribution learning advantage with shallow quantum circuits

Reference 2006

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T21:06:09.611283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.