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Effectiveness of quantum algorithms on classical computing complexities

Published: 10 October 2018 Publication History

Abstract

In this paper, we analyze the effectiveness of quantum algorithms to solve some classical computing complexities. In fact, we focus in this study on several famous quantum algorithms, where we discussed their impact on classical computing using in computer science.

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D.Deutsch (1989). Quantum computational networks. In Proceedings of the Royal Society of London, Volume 425(1868) of Series A, pp. 73--90.
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D.Deutsch and Jozsa, R. (1992). Rapid solution of problems by quantum computation. In Proceedings of the Royal Society of London, Volume 438(1907) of Series A, pp. 553--558.
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L.Grover (1996). Fast quantum mechanical algorithm for database search. In Proceedings of the 28th Annual ACM Symposium on Theory of Computing (STOC 96), pp. 212--219.
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L.Grover (1997). Quantum mechanics helps in searching for a needle in a haystack. Physical Review Letters 79(2), 325--328.
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P.Shor (1997). Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26(5), 1484--1509.
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P.Shor (1994). Algorithms for quantum computation: Discrete logarithms and factoring. In Proceedings of the 35th Annual IEEE Symposium on the Foundations of Computer Science, pp. 124--134.

Cited By

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  • (2023)Comparison of Performances for Quantum and Conventional Algorithms: Shor’s algorithm and Boson SamplingHighlights in Science, Engineering and Technology10.54097/hset.v38i.587338(493-501)Online publication date: 16-Mar-2023

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cover image ACM Other conferences
SCA '18: Proceedings of the 3rd International Conference on Smart City Applications
October 2018
580 pages
ISBN:9781450365628
DOI:10.1145/3286606
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 10 October 2018

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Author Tags

  1. Classical computing
  2. quantum algorithms
  3. security
  4. unstructured databases

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  • (2023)Comparison of Performances for Quantum and Conventional Algorithms: Shor’s algorithm and Boson SamplingHighlights in Science, Engineering and Technology10.54097/hset.v38i.587338(493-501)Online publication date: 16-Mar-2023

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