@inproceedings{beaudrap2008quadratic,
author = {Beaudrap, Niel de and Danos, Vincent and Kashefi, Elham and Roetteler, Martin},
title = {Quadratic Form Expansions for Unitaries},
booktitle = {Proceedings of 3rd Workshop on Theory of Quantum Computation, Communication, and Cryptography (TQC'08)},
year = {2008},
month = {January},
abstract = {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 one-way 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.},
url = {http://approjects.co.za/?big=en-us/research/publication/quadratic-form-expansions-unitaries/},
pages = {29-46},
journal = {Springer Lecture Notes in Computer Science},
volume = {5106},
edition = {Proceedings of 3rd Workshop on Theory of Quantum Computation, Communication, and Cryptography (TQC'08)},
}