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Quantum Walks and Structured Searche...

Temple University.

Quantum Walks and Structured Searches on Free Groups and Networks.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Quantum Walks and Structured Searches on Free Groups and Networks./
Author:	Ratner, Michael C.
Description:	1 online resource (57 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
Contained By:	Dissertation Abstracts International78-10B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369794090

Quantum Walks and Structured Searches on Free Groups and Networks.
Ratner, Michael C.

Quantum Walks and Structured Searches on Free Groups and Networks. - 1 online resource (57 pages)

Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Quantum walks have been utilized by many quantum algorithms which provide improved performance over their classical counterparts. Quantum search algorithms, the quantum analogues of spatial search algorithms, have been studied on a wide variety of structures. We study quantum walks and searches on the Cayley graphs of finitely-generated free groups. Return properties are analyzed via Green's functions, and quantum searches are examined. Additionally, the stopping times and success rates of quantum searches on random networks are experimentally estimated.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369794090Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Quantum Walks and Structured Searches on Free Groups and Networks.
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020 $a 9781369794090
035 $a (MiAaPQ)AAI10272859
035 $a (MiAaPQ)temple:12934
035 $a AAI10272859
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Ratner, Michael C. $3 1182435
245 1 0 $a Quantum Walks and Structured Searches on Free Groups and Networks.
264 0 $c 2017
300 $a 1 online resource (57 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-10(E), Section: B.
500 $a Adviser: Wei-Shih Yang.
502 $a Thesis (Ph.D.) $c Temple University $d 2017.
504 $a Includes bibliographical references
520 $a Quantum walks have been utilized by many quantum algorithms which provide improved performance over their classical counterparts. Quantum search algorithms, the quantum analogues of spatial search algorithms, have been studied on a wide variety of structures. We study quantum walks and searches on the Cayley graphs of finitely-generated free groups. Return properties are analyzed via Green's functions, and quantum searches are examined. Additionally, the stopping times and success rates of quantum searches on random networks are experimentally estimated.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
650 4 $a Computer science. $3 573171
650 4 $a Quantum physics. $3 1179090
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0984
690 $a 0599
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Temple University. $b Mathematics. $3 1182436
773 0 $t Dissertation Abstracts International $g 78-10B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10272859 $z click for full text (PQDT)

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