東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Quantum computation using geometric ...

Matzke, Douglas James.

Linked to FindBook

Google Book

Amazon

博客來

Quantum computation using geometric algebra.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum computation using geometric algebra./
Author:	Matzke, Douglas James.
Description:	192 p.
Notes:	Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1990.
Contained By:	Dissertation Abstracts International63-04B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3049828
ISBN:	9780493642727

Quantum computation using geometric algebra.
Matzke, Douglas James.

Quantum computation using geometric algebra. - 192 p.

Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1990.

Thesis (Ph.D.)--The University of Texas at Dallas, 2002.

This dissertation reports that arbitrary Boolean logic equations and operators can be represented in geometric algebra as linear equations composed entirely of orthonormal vectors using only addition and multiplication Geometric algebra is a topologically based algebraic system that naturally incorporates the inner and anticommutative outer products into a real valued geometric product, yet does not rely on complex numbers or matrices. A series of custom tools was designed and built to simplify geometric algebra expressions into a standard sum of products form, and automate the anticommutative geometric product and operations. Using this infrastructure, quantum bits (qubits), quantum registers and EPR-bits (ebits) are expressed symmetrically as geometric algebra expressions. Many known quantum computing gates, measurement operators, and especially the Bell/magic operators are also expressed as geometric products. These results demonstrate that geometric algebra can naturally and faithfully represent the central concepts, objects, and operators necessary for quantum computing, and can facilitate the design and construction of quantum computing tools.

ISBN: 9780493642727Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Quantum computation using geometric algebra.
LDR:02064nmm 2200289 4500 001 1823301
005 20061201131702.5
008 130610s2002 eng d
020 $a 9780493642727
035 $a (UnM)AAI3049828
035 $a AAI3049828
040 $a UnM $c UnM
100 1 $a Matzke, Douglas James. $3 1912414
245 1 0 $a Quantum computation using geometric algebra.
300 $a 192 p.
500 $a Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1990.
500 $a Supervisor: Cyrus D. Canttrell.
502 $a Thesis (Ph.D.)--The University of Texas at Dallas, 2002.
520 $a This dissertation reports that arbitrary Boolean logic equations and operators can be represented in geometric algebra as linear equations composed entirely of orthonormal vectors using only addition and multiplication Geometric algebra is a topologically based algebraic system that naturally incorporates the inner and anticommutative outer products into a real valued geometric product, yet does not rely on complex numbers or matrices. A series of custom tools was designed and built to simplify geometric algebra expressions into a standard sum of products form, and automate the anticommutative geometric product and operations. Using this infrastructure, quantum bits (qubits), quantum registers and EPR-bits (ebits) are expressed symmetrically as geometric algebra expressions. Many known quantum computing gates, measurement operators, and especially the Bell/magic operators are also expressed as geometric products. These results demonstrate that geometric algebra can naturally and faithfully represent the central concepts, objects, and operators necessary for quantum computing, and can facilitate the design and construction of quantum computing tools.
590 $a School code: 0382.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Computer Science. $3 626642
650 4 $a Physics, General. $3 1018488
690 $a 0544
690 $a 0984
690 $a 0605
710 2 0 $a The University of Texas at Dallas. $3 1018411
773 0 $t Dissertation Abstracts International $g 63-04B.
790 1 0 $a Canttrell, Cyrus D., $e advisor
790 $a 0382
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3049828