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Quantum proofs for classical theorems
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Alongside the development of quantum algorithms and quantum complexity theory in recent years, quantum techniques have also proved instrumental in obtaining results in diverse classical (non-quantum) areas, such as coding theory, communication complexity, and polynomial approximations. In this paper we survey these results and the quantum toolbox they use.
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“Ideas from quantum computing have also been used to prove new limitations on classical data structures, codes and formulae. 83”
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A fast quantum mechanical algorithm for database search
Grover, L. K. (1996) · Proceedings of the twenty-eighth annual ACM symposium on Theory of computing - STOC '96 · doi:10.1145/237814.237866 · Cited by 8,830
Strengths and Weaknesses of Quantum Computing
Bennett, C. H., Bernstein, E., Brassard, G., & Vazirani, U. (1997) · SIAM Journal on Computing · doi:10.1137/s0097539796300933 · Cited by 1,470
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Cleve, R., van Dam, W., Nielsen, M., & Tapp, A. (1999) · Lecture Notes in Computer Science · doi:10.1007/3-540-49208-9_4 · Cited by 133
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Cited by
Sorted by citations
Quantum algorithms: an overview
Montanaro, A. (2016) · npj Quantum Information · doi:10.1038/npjqi.2015.23 · Cited by 1,071
Metadata
- Authors
- Drucker, A., & de Wolf, R.
- ORCID
- Ronald de Wolf
- Venue
- Theory of Computing
- Publisher
- Theory of Computing Exchange
- Published
- 2011
- Volume
- 1
- Issue
- 1
- Pages
- 1-54
- ISSN
- 1557-2862 (ISSN-L)
- OpenAlex
- W2095739278
- Cited by
- 41
- References
- 3
- Citations by year
- 2024: 2 · 2023: 1 · 2019: 2 · 2018: 2 · 2017: 5 · 2016: 5 · 2015: 3 · 2014: 6 · 2013: 3 · 2012: 3
- FWCI
- 4.73
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- cc-by
- Locations
- Theory of Computing (publishedVersion, cc-by)
- UvA-DARE (University of Amsterdam) (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands (submittedVersion)
- Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
- UvA-DARE (University of Amsterdam) (submittedVersion, cc-by)
- arXiv (Cornell University)
- Electronic colloquium on computational complexity
- Funders
- European Commission (015848)
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek
- Defense Advanced Research Projects Agency
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Complexity and Algorithms in Graphs
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Keywords
- quantum algorithms, quantum complexity, coding theory, communication complexity, polynomial approximation
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- This page
- CoChat. (2026). Citation check: Quantum proofs for classical theorems. https://app.cochat.ai/papers/10.4086/toc.gs.2011.002
- The paper
- Drucker, A., & de Wolf, R. (2011). Quantum proofs for classical theorems. Theory of Computing. https://doi.org/10.4086/toc.gs.2011.002