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Loop quantum cosmology allows to replace the original singularity by a quantum bounce followed by a phase of fast expansion called super-inflation. In this paper, we use a simple analytic description of super-inflation using the equation of state of a fluid. We then derive the power spectrum of tensor perturbations produced. The effects on the B-mode polarization of the cosmological background radiation are discussed. For a large region of phase space, the spectrum should be distinguishable from the standard inflationary prediction for future observations.

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