Physics – Quantum Physics
Scientific paper
2001-06-15
Physics
Quantum Physics
4 pages, 2 figures, submitted to PRL
Scientific paper
10.1016/S0375-9601(02)00391-2
We show how to represent the state and the evolution of a quantum computer (or any system with an $N$--dimensional Hilbert space) in phase space. For this purpose we use a discrete version of the Wigner function which, for arbitrary $N$, is defined in a phase space grid of $2N\times 2N$ points. We compute such Wigner function for states which are relevant for quantum computation. Finally, we discuss properties of quantum algorithms in phase space and present the phase space representation of Grover's quantum search algorithm.
Bianucci Pablo
Miquel Cesar
Paz Juan Pablo
Saraceno Marcos
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