Pith. sign in

Paper Citation Record · LEDGER

A Nested Amplitude Amplification Protocol for the Binary Knapsack Problem

As of 4 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 2026-08-04T06:34:03.388597+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

Resolution
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:569c100148f81f27aa518bb6e47a5010f4c5da5dd3629f0c5f671418b0b68ff5

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a6e9763fc1a4080477f615ff2805cd687cb4a33c347cf3b9709fde485ae2b0c9

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:9e8fc1f351687e415e01b1b7d67963bd8ed4c8d402bc569dea6b515535d40782

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:e8fc44f41a47c2172250b65cc74e15385f1479864be9897d3f41c0765b9ac07b

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.399799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:874cf1672067f70d4526fd92150591df48cc3e05a42b903b79ab3fa116dead5a

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:573ba708294aeed82d8779de8442b1948ccf32dcd0a901a9d65d04291c8fad52

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.397927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:c6fe07f9bb07c061caa02e4e5dabc71e5932c8c55b800d6718e096404877100e

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.334872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:6144656be1ae7892738534b161e97f0c19e886ce446567b75ca41cb7ae18cd89

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:9f4f6e2b8cf539606e4b9154df82caa7312927a854aba81c19e7e82cf2f9fd39

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.353925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:c5785158d0f9776b7e4adab45bb55597c07682b2e3a95c9a7a64b413037f61d3

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.378036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:c0bab9857eaf08871f124b2647b9f265a016f807ea6229e9fa59a7137e1e5689

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:abc0fc9e68def7c7e1a32aa20e549c64b5675e1202e1ec34546119d9773b2ce2

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.324178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:4dc950ca5c7bfe0947ed49dfe6229ac4cd9136e9a83edbb4072679ef2897bea1

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b80188873da04d2e64f405f466a16615422df40da3661eaec8e22fdb2a12cecc

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T13:00:55.322154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:f84ce6f1cac22b4703aa06ee011389cd09154e1a8df4b155595b3630a002cca9

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:5ce1b9965695db2484db4359529f7c08b77c4e094a9b1887ccdf85aab4839653

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:7a54e42cf5c143c256ef91df1f5beb77c1a22e6891fbc9b8a74b191a4065cc67

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:1694f143ed09f32c50bab5922ad48d8c4e682f76a6bcc057cafc356559209645

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:9ac8c35dce8920ba134ec82378b328ef55d8c972d76ac4a914836b2643cc8f00

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

Resolution
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:61e06fb108319176cde292c3de8595f8a54fc06c35f030e0e5d7241a1e88154f

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:fc7a44f75107c98052c047faa50964e5b2391735b459676d2cd4e2bc82ad36f4

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

Resolution
verified exact
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b39fdf484d866f54b988d2c129cffc19fa8a5c0b1352fcfd4122d9b34fd6f62f

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:c9caad8321d21e9c4622b90d49a336e59c8250451accf6d6790fdae45099e489

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:d7813e910cfa10aa7c844b3b26cc095a9f89512fc66a20f9011723a0c89b7ea7

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:417e2b6d07ce4f94becaac853accfb83b8d48826fb8531b232c31ee30d004650

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:002fa64b632085d52b1eb3125c8f8d29f7a4848a0ecb3710b26e51305098b41a

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:21d79a76d596f7f5d8b9f8aac3faea3e72aa5f1d7dacc2de93e0ad1db9698128

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

Resolution
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a5f9865023ad41656cda9795931d2cb66c3fdcae6379070a8540919044329cca

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:de7d00c11b21d728150d02ec3e7001b3d676086fd13d6b27542a4f48ff223339

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:440faa105462e8ee16e0dc8a432df638b84a09957509342253222c7c08bb1b7d

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:f26bab02e625cea8447334857d09ddb8bae1d621f8b7edb29f995b5172a39b00

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:c91451432409ff4134888ecdf238692fe44cbffc944a7dc5d06ee395f478f0f5

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:a338b21edaf934034e25c1937e87365ed64343fc1c89cb775265648b4c4da823

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

Resolution
verified fuzzy
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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b4b3fb571594020270402bcb48abe3c2352f134ac20af39fcd3fa07628b26ee3

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:fd0f0911703882c9a3a923a5587a513ca67a85e119fbd88554c369f696d825ef

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:fab9f8af17aa671717a30a49d7f138600c908e1b6166f871a759fa1b18db657c

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:84788a156bdf4298c8db533a1a76be0a7e20269982e1adca081ed7aa94b54ba9

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:fe4b154bae254d837efe5ad5751c27717c4f23cdeea147f8745b9d96c1f64133

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:be097458075ea1b50564ef905598148688c14581521eaafb93c395ad8d9a5270

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:02da6b535b52e5bd2051bdf5ebf79262048fb149907b32058744748ddf066a5b

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:b72a3e06636fa387c7d47a7e56b5d203199ebb8eca873d5cd387aaa151dc71aa

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:e3747dc109bd00eb83ea70a8353184ef8e66f0f74e9fd4855e2483926a6d16cd

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:f0f5a1be9a6a2a9cd5f4b610fd630ec39551e71d4f3ca0d7041f67588fbbf5fc

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:771205ee7765e37a9bd8c0c383e09fbe377d670870c521be6fd15a4eaf3f15f4

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:420edef98b4be20598c159c3ee46ba68847de948694912304c1f2a3bad2d13b0

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:0b91ccf752d9c85c0dc6329f851367c47a9c8e89d2f01dcffdd2baff244c5458

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:8382c8d87839c1ffe891f4882f79dd209b4d9ae3771bfaa06265052ff6536cd7

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T18:55:41.649022Z digest=sha256:bdcaf0759b03b4a6cdd28ab925c9063acfdf41f47d25b3dadbafcdc8a51c557e

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-07-10T21:55:25.824880Z digest=sha256:7504e66851d55a8e3c38e3c60a6abda73dc17d7ee10f214def85d629a1ad1b93