Cosmology from Quantum Information

• URL: http://arxiv.org/abs/2002.04294v2
• Date: Wed, 19 Feb 2020 16:21:19 GMT
• Title: Cosmology from Quantum Information
• Authors: Cesar Gomez, Raul Jimenez
• Abstract summary: We compute the corresponding quantum Fisher information function as the second derivative of the relative entanglement entropy for the density matrix at two different times. We evaluate the minimal variance of quantum fluctuations that reproduces the power spectrum and the corresponding tilt in the slow roll limit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We describe inflation in terms of a time dependent quantum density matrix with time playing the role of a stochastic variable. Using a quasi-de Sitter model we compute the corresponding quantum Fisher information function as the second derivative of the relative entanglement entropy for the density matrix at two different times. Employing standard quantum estimation theory we evaluate the minimal variance of quantum scalar fluctuations that reproduces the power spectrum and the corresponding tilt in the slow roll limit. The Jeffreys prior associated with such Fisher information can be used to define the probabilities on the set of initial conditions defined by the slow roll parameter $\epsilon$ and the initial Shannon information.

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