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Universe, Volume 5, Issue 12 (December 2019) – 7 articles
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Cover Story (view full-size image) Growing evidence shows that quantum information theory has come to play a fundamental role in [...] Read more. Growing evidence shows that quantum information theory has come to play a fundamental role in understanding quantum gravity through holography. However, knowledge on how to apply this idea to a realistic universe is still missing. In this paper, we make a preliminary attempt to close the gap. We show that concepts in quantum information theory have their cosmological correspondence. That is, the de Sitter(dS) universe can be regarded as a quantum circuit, and the corresponding complexity is regarded as a Fisher information measure (FIM) of the dS universe. We find the growth rate of on-shell gravitational action saturates Lloyd’s bound and the energy of the dS plays the role of energy in Lloyd’s bound. These results are also valid for f(R) gravity, whose FIM exhibits the same features of a recently proposed Ln norm complexity.View this paper.