Introduction to finite fields and their applications
Introduction to finite fields and their applications
ACM SIGACT News - A special issue on cryptography
Discrete Phase-Space Structures and Mutually Unbiased Bases
WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
A Criterion for Attaining the Welch Bounds with Applications for Mutually Unbiased Bases
Mathematical Methods in Computer Science
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Focusing particularly on one-qubit and two-qubit systems, I explain how the quantum state of a system of n qubits can be expressed as a real function--a generalized Wigner function--on a discrete 2n 脙聴 2n phase space. The phase space is based on the finite field having 2n elements, and its geometric structure leads naturally to the construction of a complete set of 2n + 1 mutually conjugate bases.