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Faster Together: Collective Quantum Search

Department of Electronic & Computer Engineering, QLab, Technical University of Crete, GR 731 00 Chania Crete, Greece
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Academic Editor: Kevin H. Knuth
Entropy 2015, 17(7), 4838-4862; https://0-doi-org.brum.beds.ac.uk/10.3390/e17074838
Received: 8 May 2015 / Revised: 9 May 2015 / Accepted: 30 June 2015 / Published: 10 July 2015
(This article belongs to the Special Issue Quantum Computation and Information: Multi-Particle Aspects)
Joining independent quantum searches provides novel collective modes of quantum search (merging) by utilizing the algorithm’s underlying algebraic structure. If n quantum searches, each targeting a single item, join the domains of their classical oracle functions and sum their Hilbert spaces (merging), instead of acting independently (concatenation), then they achieve a reduction of the search complexity by factor O(√n). View Full-Text
Keywords: quantum search algorithm; search complexity; Young diagram; completely positive trace preserving maps; quantum channels. quantum search algorithm; search complexity; Young diagram; completely positive trace preserving maps; quantum channels.
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MDPI and ACS Style

Ellinas, D.; Konstandakis, C. Faster Together: Collective Quantum Search. Entropy 2015, 17, 4838-4862. https://0-doi-org.brum.beds.ac.uk/10.3390/e17074838

AMA Style

Ellinas D, Konstandakis C. Faster Together: Collective Quantum Search. Entropy. 2015; 17(7):4838-4862. https://0-doi-org.brum.beds.ac.uk/10.3390/e17074838

Chicago/Turabian Style

Ellinas, Demosthenes, and Christos Konstandakis. 2015. "Faster Together: Collective Quantum Search" Entropy 17, no. 7: 4838-4862. https://0-doi-org.brum.beds.ac.uk/10.3390/e17074838

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