Intermediate quantum maps for quantum computation

Details Intermediate quantum maps for quantum computation Intermediate quantum maps for quantum computation

2005-04-29

arxiv.org/abs/quant-ph/0504230v1

Phys. Rev. A 72, 042312 (2005).

Physics

Quantum Physics

4 pages, 4 figures, research done at http://www.quantware.ups-tlse.fr/

Scientific paper

10.1103/PhysRevA.72.042312

We study quantum maps displaying spectral statistics intermediate between Poisson and Wigner-Dyson. It is shown that they can be simulated on a quantum computer with a small number of gates, and efficiently yield information about fidelity decay or spectral statistics. We study their matrix elements and entanglement production, and show that they converge with time to distributions which differ from random matrix predictions. A randomized version of these maps can be implemented even more economically, and yields pseudorandom operators with original properties, enabling for example to produce fractal random vectors. These algorithms are within reach of present-day quantum computers.

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