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Paper Citation Record · LEDGER

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem

As of 6 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2604.05776.

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

pith.paper-citation-record.v1
2604.05776 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:55:41.649022Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T21:55:25.824880Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T21:57:37.622958Z

Reference resolution

48 of 48 outbound references displayed

  • verified exact5
  • verified fuzzy40
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 28c5770b-1243-45de-baaa-0e2d5141fdbf · outbound

This paper cites A knapsack problem as a tool to solve the production planning problem in small foundries.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem A knapsack problem as a tool to solve the production planning problem in small foundries

Reference 1

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verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.395826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:36ba16f77c3717a907e2030c2747ea912761415edc6c09f4b2b5647bfcf3b364

Observation 2c6d25c9-7a90-4718-b7ea-28841d5456eb · outbound

This paper cites Op- timal scheduling of manufacturing processes across multiple production lines by polynomial optimization and bagged bounded binary knapsack.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Op- timal scheduling of manufacturing processes across multiple production lines by polynomial optimization and bagged bounded binary knapsack

Reference 2

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raw_fallback, observed 2026-05-16T13:00:55.391501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6919210a-e4b8-49e2-8824-825291bda38f · outbound

This paper cites The global supply chain is our new fab: Integration and automation challenges.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem The global supply chain is our new fab: Integration and automation challenges

Reference 3

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raw_fallback, observed 2026-05-16T13:00:55.404244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:f32b74e99fd229c02962d2060d049f8f69decbe4f60fed512d41fe99b437a37d

Observation 600a60b1-fbdb-483a-9d58-670d32eb7101 · outbound

This paper cites Automated and optimized lot-to-order matching in 300 mm semicon- ductor facilities.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Automated and optimized lot-to-order matching in 300 mm semicon- ductor facilities

Reference 4

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raw_fallback, observed 2026-05-16T13:00:55.402072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:baa9848ca45cd5ac8b4eee2c9b96169cbcf7b29863e9813bbb558a3c56b68560

Observation 03af01d7-904b-4943-b9f5-897c75fac684 · outbound

This paper cites Where are the hard knapsack problems?.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Where are the hard knapsack problems?

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:270b655ed1a4755c45435d297f82ad04f6a86f30b51b0762a7b47b0b5afb4998

Observation 7cff9b20-fd1e-46f5-af75-39b7951bcc6d · outbound

This paper cites Ibm releases first-ever 1,000-qubit quantum chip.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Ibm releases first-ever 1,000-qubit quantum chip

Reference 7

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raw_fallback, observed 2026-05-16T13:00:55.389660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:20437f978bbf31d64924702b11afe7d1dd8b1cacd9857d8c0c763a554079a01c

Observation 90796fab-5368-45f7-bb5f-218fd8da896a · outbound

This paper cites Suppressing quantum errors by scaling a surface code logical qubit.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Suppressing quantum errors by scaling a surface code logical qubit

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:bb43315aa036f0479982d2a9dc5b83c00023f1c22f1263b2247c52646e9b3782

Observation f9fa6457-1c83-4dd8-a645-12df1e104436 · outbound

This paper cites Quantum approximate optimization algo- rithm (qaoa).

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum approximate optimization algo- rithm (qaoa)

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a7634c31bb7ffa34db3150fdf6b095dc3826ddb87b37d8d8bece29999bc8f5f1

Observation bba9cbb6-d356-4e0c-b864-804f1c2c7fdc · outbound

This paper cites Vqe method: a short survey and recent developments.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Vqe method: a short survey and recent developments

Reference 10

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raw_fallback, observed 2026-05-16T13:00:55.363509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:9591df945e9d35c9f408492b38e04725b394041c5739be6450889da304e83db9

Observation 78ae0c88-1b2c-4e87-905a-24093c4b0af6 · outbound

This paper cites Quantum annealing: A new method for minimizing multidimensional functions.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum annealing: A new method for minimizing multidimensional functions

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 0838df13-96b0-4df4-bf04-45239f63549c · outbound

This paper cites Evidence of scaling advantage for the quantum approximate optimization algorithm on a classically intractable problem.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Evidence of scaling advantage for the quantum approximate optimization algorithm on a classically intractable problem

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation dc12d3fa-49ae-46b6-81cb-c8109d5f1ccc · outbound

This paper cites Scaling advantage in approximate optimization with quantum annealing.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Scaling advantage in approximate optimization with quantum annealing

Reference 13

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raw_fallback, observed 2026-05-16T13:00:55.349340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:0563102afb0944f57bab6fedd75f651f9e0ba6299f86b75e374aa4e95d8595ed

Observation 72d8388c-5022-4e1c-9463-5148d59adf8a · outbound

This paper cites A fast quantum mechanical algorithm for database search.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem A fast quantum mechanical algorithm for database search

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b6748b68b4f8fdce079146cb3c26e52d6e064bb0db230124c144f00c4f624794

Observation c9884808-973c-414f-b4a5-a260fed9093d · outbound

This paper cites Quantum Amplitude Amplification and Estimation.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum Amplitude Amplification and Estimation

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-16T03:47:30.254348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 5103c1b2-f591-4fac-a9f2-1559d2fae6c8 · outbound

This paper cites Grover adaptive search for constrained polynomial binary optimization.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Grover adaptive search for constrained polynomial binary optimization

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b51745bbb0c44a016a278c814d23ab4983deec139702cb0aaeec1ac8a5cc0e96

Observation dd3077ae-6551-4d7e-977e-50d3c5eb1678 · outbound

This paper cites Simulating quantum circuits using tree tensor networks.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Simulating quantum circuits using tree tensor networks

Reference 17

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raw_fallback, observed 2026-05-16T13:00:55.383816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:90009bf4f51f3a7b26a2b2da44580fec335628cc15490a7ffe33bfb78760e7bc

Observation d0eadd18-e039-4185-a6bf-b1af3aa66511 · outbound

This paper cites Tensor networks for quantum computing.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Tensor networks for quantum computing

Reference 18

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raw_fallback, observed 2026-05-16T13:00:55.338684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:4d3a949b4c84d6c165ccd6bd8e2c873b6e469e198173864dfa3667456108c738

Observation 783ee732-9dbb-4df5-a11f-f428f299255f · outbound

This paper cites Simulating quantum computation by contract- ing tensor networks.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Simulating quantum computation by contract- ing tensor networks

Reference 19

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raw_fallback, observed 2026-05-16T13:00:55.336193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:108736f062efd9672d0a89333ca3cffdcf597559a74a75f29d2ede7448e172a9

Observation c42e0b4a-bd23-4073-8be3-b54486018812 · outbound

This paper cites Implementation of efficient quantum search algorithms on nisq computers.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Implementation of efficient quantum search algorithms on nisq computers

Reference 20

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raw_fallback, observed 2026-05-16T13:00:55.361751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:1313a0715a5e12b0f07c1068a24a49fe5e453028e1f8a1bb48491cceba30c57d

Observation cb01f5bd-7167-4b52-a35e-7515a08bd25c · outbound

This paper cites Grover Adaptive Search with Problem-Specific State Preparation.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Grover Adaptive Search with Problem-Specific State Preparation

Reference 21

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verified exact
arxiv_id, observed 2026-05-10T23:40:53.923347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:3ed467d499753156d989a1f76d208071b012c53d0d5fb9f5543cb1e495d9605f

Observation d8fb6c53-7eb2-41b0-b986-e00e59eceb9a · outbound

This paper cites Quantum search with advice.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum search with advice

Reference 22

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raw_fallback, observed 2026-05-16T13:00:55.376217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:bccf08dbf9e73203d89eea24e8261cde28fd7d8fe9d360df6bd8275c6c0bed6c

Observation 8fe722f6-6d83-46e4-aa1e-55cd14463fdc · outbound

This paper cites A quantum algorithm for solving 0-1 Knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem A quantum algorithm for solving 0-1 Knapsack problems

Reference 23

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arxiv_id, observed 2026-05-10T23:40:53.973795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation fa49a2f3-7b47-45ea-9ace-31828a1a4f66 · outbound

This paper cites Quantum tree generator improves qaoa state-of-the-art for the knap- sack problem.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum tree generator improves qaoa state-of-the-art for the knap- sack problem

Reference 24

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raw_fallback, observed 2026-05-16T13:00:55.369654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:66553cee56328dcca8c6f77a9a85c9dd2045111829cd517b47999f45f912ce00

Observation 5fa6e999-502e-4e46-922f-bc30459991e3 · outbound

This paper cites Nested quantum search and structured problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Nested quantum search and structured problems

Reference 25

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raw_fallback, observed 2026-05-16T13:00:55.374152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:0d1975318f05edb70bebc49a36303935c35a30d024d5777829c99531d12cd0bf

Observation 7bb61d80-9495-4458-9650-a594e6cbc9c0 · outbound

This paper cites Nested grover’s algorithm for tree search.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Nested grover’s algorithm for tree search

Reference 26

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raw_fallback, observed 2026-05-16T13:00:55.385906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:ed020f92fba9d720b86f9e76451f7ef50c6f16230ca720ad90deef8d97049bc5

Observation 1432d350-2db4-4cfe-83db-8a9a0ea1a0a2 · outbound

This paper cites Nested quantum walks with quantum data structures.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Nested quantum walks with quantum data structures

Reference 27

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raw_fallback, observed 2026-05-16T13:00:55.378216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:ababb2f55fbc3f9e8823393dbdb03c54077547ef85158a903f3eeec32c62b5f5

Observation fbef82a4-2a6e-4084-bd48-2b562abbd9ea · outbound

This paper cites On the partition of numbers.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem On the partition of numbers

Reference 28

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raw_fallback, observed 2026-05-16T13:00:55.387599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:71715f176b14896c6d93a90568e89ba8a16bce0eedc38ce79f6eb546e2b1a32b

Observation 74f11e3a-a160-43fd-8404-7915c973c1fd · outbound

This paper cites an unresolved cited work.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Unresolved cited work

Reference 29

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unresolved
raw_fallback, observed 2026-05-16T13:00:55.382007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:d2036d1e0e478dea493634927c4f352b0e64784ca47a102639dacc2215a41bf4

Observation 172448dd-8ba8-4bcf-9daf-472f4fb10d78 · outbound

This paper cites Knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Knapsack problems

Reference 30

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raw_fallback, observed 2026-05-16T13:00:55.393638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:4a69fa7068f1a2f9deb0452f89fc849d3223cee17f0abb333f874e4381bfe167

Observation 0b815ee8-10d1-4c12-bbe3-c741094e18f1 · outbound

This paper cites Introduction to np- completeness of knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Introduction to np- completeness of knapsack problems

Reference 31

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raw_fallback, observed 2026-05-16T13:00:55.372861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:bde2aadc457688ceda1330445cf61d00eccfb2f5cdb2ec73c161f9d6b3ab41ec

Observation deed4a1d-e49b-413e-9b33-08ef2b2bc088 · outbound

This paper cites Algorithms for knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Algorithms for knapsack problems

Reference 32

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raw_fallback, observed 2026-05-16T13:00:55.358066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a0281e85b708cefafd7f7540415d8bdf59f7d57caafb887133a95b602d582137

Observation 33576a12-fc55-4d0b-b0dd-abb118d97f3d · outbound

This paper cites Quantum optimization heuristics with an application to knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum optimization heuristics with an application to knapsack problems

Reference 33

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raw_fallback, observed 2026-05-16T13:00:55.359943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:71ad71d18f208121d867d613f14234fb53e6669ca5fbafa42981bac0b4f0cbef

Observation f420c407-392b-4ba5-8bd3-a42f4ea11c45 · outbound

This paper cites Quantum computing techniques for multi-knapsack problems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum computing techniques for multi-knapsack problems

Reference 34

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raw_fallback, observed 2026-05-16T13:00:55.388042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:cea343c610dcb260d917191dfc25a0a9814b298578a3ffc57c0716f54852c537

Observation 4dd01ccb-97c2-41a4-b73f-0f7f35643e7d · outbound

This paper cites Optimal solving of a binary knapsack problem on a d-wave quantum machine and its implementation in production systems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Optimal solving of a binary knapsack problem on a d-wave quantum machine and its implementation in production systems

Reference 35

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raw_fallback, observed 2026-05-16T13:00:55.372032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:31e9aa022f31df5a00c7742db5c89892ae1f76845980dcbb42a3af3139bb2b2a

Observation fe946534-4e3f-4f31-a1dc-9335c468d7e1 · outbound

This paper cites Warm-Starting QAOA with XY Mixers: A Novel Approach for Quantum-Enhanced Vehicle Routing Optimization.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Warm-Starting QAOA with XY Mixers: A Novel Approach for Quantum-Enhanced Vehicle Routing Optimization

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:40:53.899024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:e1d8a44ea026b5df0d5f5911137f4465b2f1a247d7723dec9d64c91a66bf78e6

Observation 653ca9b9-7200-42c3-b10f-9d9a76387187 · outbound

This paper cites Tight bounds on quan- tum searching.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Tight bounds on quan- tum searching

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.385527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:5106ca403cbd36cab46c3045fcf7d0c3cb57108f1a30744a0aa83b589020dae9

Observation c441c9e9-80f3-4b08-bc2a-0a173dce9dbf · outbound

This paper cites The use of confidence or fiducial limits illustrated in the case of the binomial.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem The use of confidence or fiducial limits illustrated in the case of the binomial

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.344578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a7f6c9bcc0bd2f6b79eb8790e782e11e2b48b5f65157ece5a01a8c8ac7be270d

Observation 72d29429-4ff4-4c5c-ad82-471ffa03c732 · outbound

This paper cites Current numbers of qubits and their uses.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Current numbers of qubits and their uses

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.360960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:88e5f131d62f9c7980d05c93cd68459f5ab132d1db09365898dabf1c3f285384

Observation 765c1c2e-028a-4682-9fcb-728fe0e94996 · outbound

This paper cites Solving large-scale linear systems of equations by a quantum hybrid algorithm.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Solving large-scale linear systems of equations by a quantum hybrid algorithm

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.354953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:2c49d697311bef25adb9c133a0f51b9dbbc3cb411a46bd152ddd38617ea4acfe

Observation 6acf0065-3690-4eac-bdea-52b48b5e397c · outbound

This paper cites Constrained Quantum Optimization at Utility Scale: Application to the Knapsack Problem.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Constrained Quantum Optimization at Utility Scale: Application to the Knapsack Problem

Reference 41

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:40:53.955797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:1c150cb270339043bcb1b4c6b99a0c79b331a7a2877a2e3ce58495de76474e51

Observation fe545fe3-f436-4c5c-b3ec-347c673a3e27 · outbound

This paper cites Quantum hardware devices (qhds): opportunities and challenges.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Quantum hardware devices (qhds): opportunities and challenges

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.351685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a63b8c1115094741705c645e50f52a178025d5c7d9772deaf60fb06cf7999906

Observation b0c2e2a1-edc3-404b-8b25-ce43e4958cb9 · outbound

This paper cites Scaleqsim: Highly scalable quantum circuit simulation framework for exascale hpc systems.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Scaleqsim: Highly scalable quantum circuit simulation framework for exascale hpc systems

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.368085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:5814fc4df53a87f59b64b8cbbd59872592c79a5a83725549ae4ece80a47963ed

Observation d889db05-e859-4ec3-bbe9-5997c2291ff8 · outbound

This paper cites Gurobi Optimizer Reference Manual.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Gurobi Optimizer Reference Manual

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.370520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:6d26a30f67868b2dc8de602f94f322b6d5f1865c9091ce7c0bad3d9bc91ef096

Observation 2055c815-2c04-4a4f-8039-4d1a4ff4f03b · outbound

This paper cites Available: https://www.gurobi.com.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Available: https://www.gurobi.com

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T12:57:55.077646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:58e3df80f9c7af1118f2b149d26b18c81f8aab6041a7492e036b1efa47019bef

Observation 7113e03f-d00c-4e13-8ecf-bed4982dea17 · outbound

This paper cites Core problems in knapsack algorithms.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Core problems in knapsack algorithms

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T12:57:55.080160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:f7ef82f117f07f3b75bd2a19c722f85dddcf9e9f4116995b242b51b95916ea8f

Observation 7cee5815-32ba-4883-98de-aac093fe9081 · outbound

This paper cites an unresolved cited work.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-05-16T12:57:55.082435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:19a86035a1f0ce0dab39d913d1783d5ac0812d0bc191c2828f38c944cc117c3c

Observation 92f0d27a-f7f4-4994-b0fa-daa255edf6aa · outbound

This paper cites an unresolved cited work.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-05-16T13:00:55.384029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:3fbd4eb9ee6685b6edf0f3865438e46e1d0c92890fdf7bffada4c695f5828706

Observation a55e1762-5425-4558-b027-2cd24e326ea1 · outbound

This paper cites Since we only care about case 2, we control the phase operation on all qubitsj > kof the profit register, where ˜Tk = 0, in such a way that˜p j = ˜Tj∀j > kand˜p k = 1.

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem Since we only care about case 2, we control the phase operation on all qubitsj > kof the profit register, where ˜Tk = 0, in such a way that˜p j = ˜Tj∀j > kand˜p k = 1

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.375465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:0f3ed4e343b2efba2dcc2c9fe142073779bfed7be166602aa7ff536c763a6352

Pith citing papers

Observation 65df1d5f-474e-4adb-affd-40ebb1b4fdda · inbound

QANTIS: Hardware-Calibrated Sequential POMDP Belief Updates on IBM Heron cites this paper.

QANTIS: Hardware-Calibrated Sequential POMDP Belief Updates on IBM Heron A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-07-10T21:57:37.643357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-10T21:55:25.824880Z digest=sha256:5b485971ff18a3a8546b2e5123950e01f10caf2f6f1b9974597c3d6a83c3c68f