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Quantum computation using geometric ...

Matzke, Douglas James.

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Quantum computation using geometric algebra.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Quantum computation using geometric algebra./
作者:	Matzke, Douglas James.
面頁冊數:	192 p.
附註:	Source: Dissertation Abstracts International, Volume: 63-04, Section: B, page: 1990.
Contained By:	Dissertation Abstracts International63-04B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	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.
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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.
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