Quantum computers in phase space

Details Quantum computers in phase space Quantum computers in phase space

2002-04-25

arxiv.org/abs/quant-ph/0204149v1

Physics

Quantum Physics

16 pages, 7 figures, to appear in Phys Rev A

Scientific paper

10.1103/PhysRevA.65.062309

We represent both the states and the evolution of a quantum computer in phase space using the discrete Wigner function. We study properties of the phase space representation of quantum algorithms: apart from analyzing important examples, such as the Fourier Transform and Grover's search, we examine the conditions for the existence of a direct correspondence between quantum and classical evolutions in phase space. Finally, we describe how to directly measure the Wigner function in a given phase space point by means of a tomographic method that, itself, can be interpreted as a simple quantum algorithm.

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