Physics – Quantum Physics
Scientific paper
2009-02-25
J. Phys. Soc. Jpn. 78 (2009) 054801
Physics
Quantum Physics
8 Pages, 1 Figure, accepted for publication in the Journal of Physical Society of Japan
Scientific paper
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.
Chappell James M.
Iqbal Azhar
Lohe M. A.
Smekal Lorenz von
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