Abstract
We analyze and further develop a method to represent the quantum state of a system of qubits in a phase-space grid of points (where ). The method, which was recently proposed by Wootters and co-workers (Gibbons et al., Phys. Rev. A 70, 062101 (2004).), is based on the use of the elements of the finite field to label the phase-space axes. We present a self-contained overview of the method, we give insights into some of its features, and we apply it to investigate problems which are of interest for quantum-information theory: We analyze the phase-space representation of stabilizer states and quantum error-correction codes and present a phase-space solution to the so-called mean king problem.
9 More- Received 14 October 2004
DOI:https://doi.org/10.1103/PhysRevA.72.012309
©2005 American Physical Society