Physics – Quantum Physics
Scientific paper
2010-07-11
Physics
Quantum Physics
4 pages, 2 eps-color figures. Comments welcome
Scientific paper
The phase space for a system of $n$ qubits is a discrete grid of $2^{n} \times 2^{n}$ points, whose axes are labeled in terms of the elements of the finite field $\Gal{2^n}$ to endow it with proper geometrical properties. We analyze the representation of graph states in that phase space, showing that these states can be identified with a class of non-singular curves. We provide an algebraic representation of the most relevant quantum operations acting on these states and discuss the advantages of this approach.
Klimov Andre B.
Munoz Carlos
Sanchez-Soto Luis L.
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