An Analysis of the Quantum Penny Flip Game using Geometric Algebra
Quantum Physics
2015-05-13 v1
Abstract
We analyze the quantum penny flip game using geometric algebra and so determine all possible unitary transformations which enable the player Q to implement a winning strategy. Geometric algebra provides a clear visual picture of the quantum game and its strategies, as well as providing a simple and direct derivation of the winning transformation, which we demonstrate can be parametrized by two angles. For comparison we derive the same general winning strategy by conventional means using density matrices.
Keywords
Cite
@article{arxiv.0902.4296,
title = {An Analysis of the Quantum Penny Flip Game using Geometric Algebra},
author = {James M. Chappell and Azhar Iqbal and M. A. Lohe and Lorenz von Smekal},
journal= {arXiv preprint arXiv:0902.4296},
year = {2015}
}
Comments
8 Pages, 1 Figure, accepted for publication in the Journal of Physical Society of Japan