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Abstract / Description of output
We introduce techniques to analyze unitary operations in terms of quadratic form expansions, a form similar to a sum over paths in the computational basis where the phase contributed by each path is described by a quadratic form over ℝ. We show how to relate such a form to an entangled resource akin to that of the oneway measurement model of quantum computing. Using this, we describe various conditions under which it is possible to efficiently implement a unitary operation U, either when provided a quadratic form expansion for U as input, or by finding a quadratic form expansion for U from other input data.
Original language  English 

Title of host publication  Theory of Quantum Computation, Communication, and Cryptography 
Subtitle of host publication  Third Workshop, TQC 2008 Tokyo, Japan, January 30  February 1, 2008. Revised Selected Papers 
Editors  Yasuhito Kawano, Michele Mosca 
Publisher  Springer Berlin Heidelberg 
Pages  2946 
Number of pages  18 
Volume  5106 
ISBN (Electronic)  9783540893042 
ISBN (Print)  9783540893035 
DOIs  
Publication status  Published  2008 
Publication series
Name  Lecture Notes in Computer Science 

Publisher  Springer Berlin Heidelberg 
Volume  5106 
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Dive into the research topics of 'Quadratic Form Expansions for Unitaries'. Together they form a unique fingerprint.Projects
 1 Finished

Measurement based quantum computing and it's relation to other quantum models
1/03/08 → 31/07/13
Project: Research