Paper Citation Record · LEDGER

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth

As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.13191.

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

pith.paper-citation-record.v1
2607.13191 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T06:05:07.708827Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

28 of 28 outbound references displayed

verified exact0
verified fuzzy0
unresolved26
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5c190eee-4748-4bc8-83a9-92a1c2b73c74 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:04.986981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c36c14e9-8cb7-4c73-a594-dd7e1b892984 · outbound

This paper cites Biamonte, P.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Biamonte, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.027375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19489ba0-d097-4b46-9d07-0c9d0e496ee6 · outbound

This paper cites BQP-complete Problems Concerning Mixing Properties of Classical Random Walks on Sparse Graphs.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth BQP-complete Problems Concerning Mixing Properties of Classical Random Walks on Sparse Graphs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.104432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7de79ebd-9ae9-4dac-983f-48ea54140bba · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.197335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dbac485-a263-4879-b4a8-357aad1b28d8 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.286381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca112c37-1cde-444d-9253-b835b79fa828 · outbound

This paper cites Alman, V.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Alman, V

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.454730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae8777d0-9f20-47eb-8472-81f637573112 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.573823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 790bc4ff-7ecc-49a4-93b6-6219d256b2ab · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.657439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 906b8a01-bfd9-4230-a31c-a1a31f215c39 · outbound

This paper cites Wossnig, Z.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Wossnig, Z

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-08-02T06:05:05.787019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5f4b329-6264-4a39-a2ff-48e4ea50bea8 · outbound

This paper cites Chakraborty, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Chakraborty, A

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:05.911496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65351a2c-361b-4dab-a666-4d0d6d75f6a1 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.034744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bfd50f4-6de3-4132-8b93-8dccd54f6774 · outbound

This paper cites Li, P.-L.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Li, P.-L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.145698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9743deee-8a74-4977-9bdb-b42ead64cdde · outbound

This paper cites Gilyén, Y.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Gilyén, Y

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.251541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae779e5e-67c2-47a7-9d6b-f999d3010879 · outbound

This paper cites Montanaro, C.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Montanaro, C

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.350440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a607d93b-74d2-4473-8055-b8cf47ff1f1b · outbound

This paper cites Bernasconi, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Bernasconi, A

Reference 15

Resolution: malformed identifier; no resolver link, observed 2026-08-02T06:05:06.421344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df0606b3-3306-40d5-b428-f8decc490449 · outbound

This paper cites Giovannetti, S.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Giovannetti, S

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.514621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6e638e-5451-48be-a56a-72a4e1d1cd26 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.611949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e56a471b-189f-438f-8a99-2376b77f006e · outbound

This paper cites Antonioli, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Antonioli, A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.707457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e32b36a7-e6b7-493b-a006-504f8a8ce137 · outbound

This paper cites Bernasconi, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Bernasconi, A

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.834609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 335c1dac-4027-4e6f-95f0-df6fbae66a06 · outbound

This paper cites Poggiali, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Poggiali, A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:06.919348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab8551ab-5ed4-435a-ba25-98dbb5d5ad4b · outbound

This paper cites Poggiali, J.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Poggiali, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.015072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e110b0e5-7340-49ee-9cf8-a498697e5556 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.123943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6740a12d-9133-4d99-86e0-03493e62af6a · outbound

This paper cites Quantum computing with Qiskit.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Quantum computing with Qiskit

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.176216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 368f75b7-ff20-466f-ba28-f9ebed7b1740 · outbound

This paper cites an unresolved cited work.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.261063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c52e3734-aeb4-4874-bd6c-926862a58962 · outbound

This paper cites Efficient Quantum State Preparation with Bucket Brigade QRAM.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Efficient Quantum State Preparation with Bucket Brigade QRAM

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.351794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a13e5d14-1e0c-4a0a-b1dd-411b066750e3 · outbound

This paper cites Kerenidis, A.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Kerenidis, A

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.424427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdef4928-26c2-4b3e-9d26-cd275cd7fa9c · outbound

This paper cites Quantum Amplitude Amplification and Estimation.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth Quantum Amplitude Amplification and Estimation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.567967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34bea48c-1367-4b42-a90b-2edb5e9b0390 · outbound

This paper cites The Quantum Complexity of Computing Schatten $p$-norms.

Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth The Quantum Complexity of Computing Schatten $p$-norms

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T06:05:07.708827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.