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The new exponential Fibonacci neighborhood as QUBO generated on a D-Wave quantum computing environment for the permutational scheduling problem

Wojciech Bożejko; Mariusz Uchroński; Mieczysław Wodecki · Scientific Reports · 2026 · Combinatorial construction and quantum-annealing computational experiment

Original publication · Original publication

Recorded summary

The authors construct a permutation neighbourhood with Fibonacci-number cardinality and encode it using a binary sequence of length n−1. They test a related QUBO formulation on a D-Wave system for a single-machine scheduling problem.

Recorded limitations

A compact encoding and tested scheduling results do not prove a general quantum speedup. Performance depends on the neighbourhood restriction, instance selection and hardware; appraisal here is abstract-level.

Evidence and provenance

Chapter Trust Factor uses a minimum of three distinct qualifying studies. Publication records retain their own evidence and assessment.

Study design and assessment
design
Combinatorial construction and quantum-annealing computational experiment
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-66284-9

category
peer-reviewed
peer Reviewed
true
trust Factor
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-66284-9

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
evidence
evidence Type
Combinatorial construction and quantum-annealing computational experiment
evidence Class
mathematical_result_and_computation
measurement
Permutation encodings, QUBO and D-Wave scheduling experiments
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Abstract; publisher metadata.
full Paper Appraisal
Not completed; review depth states the material assessed.
Topics and recorded topic scores
  1. key
    general:fibonacci-algorithms
    title
    Algorithms and optimization
    collection
    general
    trust Score
    1
Citation snapshot and identifiers
id
nature-fibonacci-s41598-026-66284-9
doi
10.1038/s41598-026-66284-9
pmid
Not recorded
citation Snapshot
count
0
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-026-66284-9
field
is-referenced-by-count
source Indexed At
2026-08-17T11:27:24Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
citations By Collection
general
0
Complete approved library record
id
nature-fibonacci-s41598-026-66284-9
aliases
None recorded
title
The new exponential Fibonacci neighborhood as QUBO generated on a D-Wave quantum computing environment for the permutational scheduling problem
journal
Scientific Reports
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2026
authors
Wojciech Bożejko; Mariusz Uchroński; Mieczysław Wodecki
design
Combinatorial construction and quantum-annealing computational experiment
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41598-026-66284-9
pmid
Not recorded
urls

https://www.nature.com/articles/s41598-026-66284-9 · https://doi.org/10.1038/s41598-026-66284-9

collections

general

categories

Fibonacci mathematics · Algorithms & optimization

targets
None recorded
priority
1
quotes
None recorded
summary
The authors construct a permutation neighbourhood with Fibonacci-number cardinality and encode it using a binary sequence of length n−1. They test a related QUBO formulation on a D-Wave system for a single-machine scheduling problem.
limitation
A compact encoding and tested scheduling results do not prove a general quantum speedup. Performance depends on the neighbourhood restriction, instance selection and hardware; appraisal here is abstract-level.
citation Count
0
citation Snapshot
count
0
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-026-66284-9
field
is-referenced-by-count
source Indexed At
2026-08-17T11:27:24Z
coverage Note
Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
study Design Assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-66284-9

category
peer-reviewed
peer Reviewed
true
paper Trust Assessment
score
1
scope
Paper
status
assessed
randomized Controlled Trial
false
blinding
not-confirmed
peer Reviewed
true
basis
Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-026-66284-9

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
0
topics
  1. key
    general:fibonacci-algorithms
    title
    Algorithms and optimization
    collection
    general
    trust Score
    1
journal Key
scientificreports
journal Label
Scientific Reports
chapter Entries
  1. id
    general-nature-fibonacci-s41598-026-66284-9
    title
    The new exponential Fibonacci neighborhood as QUBO generated on a D-Wave quantum computing environment for the permutational scheduling problem
    journal
    Scientific Reports
    year
    2026
    authors
    Wojciech Bożejko; Mariusz Uchroński; Mieczysław Wodecki
    doi
    10.1038/s41598-026-66284-9
    pmid
    Not recorded
    urls

    https://www.nature.com/articles/s41598-026-66284-9 · https://doi.org/10.1038/s41598-026-66284-9

    design
    Combinatorial construction and quantum-annealing computational experiment
    summary
    The authors construct a permutation neighbourhood with Fibonacci-number cardinality and encode it using a binary sequence of length n−1. They test a related QUBO formulation on a D-Wave system for a single-machine scheduling problem.
    limitation
    A compact encoding and tested scheduling results do not prove a general quantum speedup. Performance depends on the neighbourhood restriction, instance selection and hardware; appraisal here is abstract-level.
    citation Count
    0
    citation Snapshot
    count
    0
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41598-026-66284-9
    field
    is-referenced-by-count
    source Indexed At
    2026-08-17T11:27:24Z
    coverage Note
    Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
    categories

    Fibonacci mathematics · Algorithms & optimization

    targets
    None recorded
    evidence
    evidence Type
    Combinatorial construction and quantum-annealing computational experiment
    evidence Class
    mathematical_result_and_computation
    measurement
    Permutation encodings, QUBO and D-Wave scheduling experiments
    measured Genes
    None recorded
    pathways
    None recorded
    relationship Note
    Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
    clinical Evidence
    false
    review Depth
    Abstract and selected source passages: Abstract; publisher metadata.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41598-026-66284-9
    quotes
    None recorded
    source Pages
    None recorded
    paper Trust Assessment
    score
    1
    scope
    Paper
    status
    assessed
    randomized Controlled Trial
    false
    blinding
    not-confirmed
    peer Reviewed
    true
    basis
    Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-026-66284-9

    review Scope
    Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
    assessed At
    2026-10-27
    study Design Assessment
    is Randomized Controlled Trial
    false
    blinding
    Not applicable to a clinical-trial grade
    basis
    Combinatorial construction and quantum-annealing computational experiment. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-026-66284-9

    category
    peer-reviewed
    peer Reviewed
    true
    collection
    general
    chapter Number
    9
    topic Id
    fibonacci-algorithms
    topic Title
    Algorithms and optimization
    trust Score
    1
evidence
evidence Type
Combinatorial construction and quantum-annealing computational experiment
evidence Class
mathematical_result_and_computation
measurement
Permutation encodings, QUBO and D-Wave scheduling experiments
measured Genes
None recorded
pathways
None recorded
relationship Note
Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
clinical Evidence
false
review Depth
Abstract and selected source passages: Abstract; publisher metadata.
full Paper Appraisal
Not completed; review depth states the material assessed.
jadad
status
not-applicable
score
Not recorded
reason
Not a human randomized controlled trial.
condition Evidence
None recorded
conditions
None recorded
topic Trust Scores

1

full Text
status
not-indexed
retrieval Available
false

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