Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude\n Estimation Article Swipe
We consider performing phase estimation under the following conditions: we\nare given only one copy of the input state, the input state does not have to be\nan eigenstate of the unitary, and the state must not be measured. Most quantum\nestimation algorithms make assumptions that make them unsuitable for this\n'coherent' setting, leaving only the textbook approach. We present novel\nalgorithms for phase, energy, and amplitude estimation that are both\nconceptually and computationally simpler than the textbook method, featuring\nboth a smaller query complexity and ancilla footprint. They do not require a\nquantum Fourier transform, and they do not require a quantum sorting network to\ncompute the median of several estimates. Instead, they use block-encoding\ntechniques to compute the estimate one bit at a time, performing all\namplification via singular value transformation. These improved subroutines\naccelerate the performance of quantum Metropolis sampling and quantum Bayesian\ninference.\n
Related Topics
Concepts
Quantum phase estimation algorithm
Quantum Fourier transform
Algorithm
Quantum algorithm
Computer science
Quantum state
Quantum computer
Quantum
Unitary transformation
Coherent states
Quantum error correction
Mathematics
Quantum mechanics
Physics
Metadata
- Type
- article
- Language
- en
- Landing Page
- http://arxiv.org/abs/2103.09717
- https://arxiv.org/pdf/2103.09717
- OA Status
- green
- Cited By
- 30
- References
- 64
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3206630443
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W3206630443Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.22331/q-2021-10-19-566Digital Object Identifier
- Title
-
Faster Coherent Quantum Algorithms for Phase, Energy, and Amplitude\n EstimationWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-03-17Full publication date if available
- Authors
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Patrick RallList of authors in order
- Landing page
-
https://arxiv.org/abs/2103.09717Publisher landing page
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https://arxiv.org/pdf/2103.09717Direct link to full text PDF
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2103.09717Direct OA link when available
- Concepts
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Quantum phase estimation algorithm, Quantum Fourier transform, Algorithm, Quantum algorithm, Computer science, Quantum state, Quantum computer, Quantum, Unitary transformation, Coherent states, Quantum error correction, Mathematics, Quantum mechanics, PhysicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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30Total citation count in OpenAlex
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2025: 9, 2024: 2, 2023: 10, 2022: 8, 2021: 1Per-year citation counts (last 5 years)
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64Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.featuring\nboth | 73 |
| abstract_inverted_index.transformation. | 121 |
| abstract_inverted_index.this\n'coherent' | 47 |
| abstract_inverted_index.novel\nalgorithms | 56 |
| abstract_inverted_index.all\namplification | 117 |
| abstract_inverted_index.both\nconceptually | 65 |
| abstract_inverted_index.quantum\nestimation | 38 |
| abstract_inverted_index.Bayesian\ninference.\n | 133 |
| abstract_inverted_index.subroutines\naccelerate | 124 |
| abstract_inverted_index.block-encoding\ntechniques | 106 |
| cited_by_percentile_year.max | 99 |
| cited_by_percentile_year.min | 89 |
| corresponding_author_ids | https://openalex.org/A5065493775 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 1 |
| corresponding_institution_ids | https://openalex.org/I86519309 |
| citation_normalized_percentile.value | 0.92661559 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | True |