Amplitude Estimation from Quantum Signal Processing Article Swipe
Patrick Rall
,
Bryce Fuller
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.22331/q-2023-03-02-937
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.22331/q-2023-03-02-937
Amplitude estimation algorithms are based on Grover's algorithm: alternating reflections about the input state and the desired outcome. But what if we are given the ability to perform arbitrary rotations, instead of just reflections? In this situation, we find that quantum signal processing lets us estimate the amplitude in a more flexible way. We leverage this technique to give improved and simplified algorithms for many amplitude estimation tasks: we perform non-destructive estimation without any assumptions on the amplitude, develop an algorithm with improved performance in practice, present a new method for unbiased amplitude estimation, and finally give a simpler method for trading quantum circuit depth for more repetitions of short circuits.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.22331/q-2023-03-02-937
- https://quantum-journal.org/papers/q-2023-03-02-937/pdf/
- OA Status
- gold
- Cited By
- 17
- References
- 37
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4322775979
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4322775979Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.22331/q-2023-03-02-937Digital Object Identifier
- Title
-
Amplitude Estimation from Quantum Signal ProcessingWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2023Year of publication
- Publication date
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2023-03-02Full publication date if available
- Authors
-
Patrick Rall, Bryce FullerList of authors in order
- Landing page
-
https://doi.org/10.22331/q-2023-03-02-937Publisher landing page
- PDF URL
-
https://quantum-journal.org/papers/q-2023-03-02-937/pdf/Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://quantum-journal.org/papers/q-2023-03-02-937/pdf/Direct OA link when available
- Concepts
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Estimation, Amplitude, Signal processing, SIGNAL (programming language), Quantum, Computer science, Speech recognition, Acoustics, Physics, Digital signal processing, Optics, Quantum mechanics, Engineering, Computer hardware, Systems engineering, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
17Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 6, 2024: 5, 2023: 5, 2022: 1Per-year citation counts (last 5 years)
- References (count)
-
37Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.lets | 43 |
| abstract_inverted_index.many | 64 |
| abstract_inverted_index.more | 50, 106 |
| abstract_inverted_index.that | 39 |
| abstract_inverted_index.this | 35, 55 |
| abstract_inverted_index.way. | 52 |
| abstract_inverted_index.what | 19 |
| abstract_inverted_index.with | 81 |
| abstract_inverted_index.about | 10 |
| abstract_inverted_index.based | 4 |
| abstract_inverted_index.depth | 104 |
| abstract_inverted_index.given | 23 |
| abstract_inverted_index.input | 12 |
| abstract_inverted_index.short | 109 |
| abstract_inverted_index.state | 13 |
| abstract_inverted_index.method | 89, 99 |
| abstract_inverted_index.signal | 41 |
| abstract_inverted_index.tasks: | 67 |
| abstract_inverted_index.ability | 25 |
| abstract_inverted_index.circuit | 103 |
| abstract_inverted_index.desired | 16 |
| abstract_inverted_index.develop | 78 |
| abstract_inverted_index.finally | 95 |
| abstract_inverted_index.instead | 30 |
| abstract_inverted_index.perform | 27, 69 |
| abstract_inverted_index.present | 86 |
| abstract_inverted_index.quantum | 40, 102 |
| abstract_inverted_index.simpler | 98 |
| abstract_inverted_index.trading | 101 |
| abstract_inverted_index.without | 72 |
| abstract_inverted_index.estimate | 45 |
| abstract_inverted_index.flexible | 51 |
| abstract_inverted_index.improved | 59, 82 |
| abstract_inverted_index.leverage | 54 |
| abstract_inverted_index.outcome. | 17 |
| abstract_inverted_index.unbiased | 91 |
| abstract_inverted_index.Amplitude | 0 |
| abstract_inverted_index.algorithm | 80 |
| abstract_inverted_index.amplitude | 47, 65, 92 |
| abstract_inverted_index.arbitrary | 28 |
| abstract_inverted_index.circuits. | 110 |
| abstract_inverted_index.practice, | 85 |
| abstract_inverted_index.technique | 56 |
| abstract_inverted_index.algorithm: | 7 |
| abstract_inverted_index.algorithms | 2, 62 |
| abstract_inverted_index.amplitude, | 77 |
| abstract_inverted_index.estimation | 1, 66, 71 |
| abstract_inverted_index.processing | 42 |
| abstract_inverted_index.rotations, | 29 |
| abstract_inverted_index.simplified | 61 |
| abstract_inverted_index.situation, | 36 |
| abstract_inverted_index.alternating | 8 |
| abstract_inverted_index.assumptions | 74 |
| abstract_inverted_index.estimation, | 93 |
| abstract_inverted_index.performance | 83 |
| abstract_inverted_index.reflections | 9 |
| abstract_inverted_index.repetitions | 107 |
| abstract_inverted_index.reflections? | 33 |
| abstract_inverted_index.non-destructive | 70 |
| abstract_inverted_index.Grover's | 6 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.9344195 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |