  Recent developments on holography and quantum information physics suggest
that quantum information theory come to play a fundamental role in
understanding quantum gravity. Cosmology, on the other hand, plays a
significant role in testing quantum gravity effects. How to apply this idea to
a realistic universe is still missing. Here we show some concepts in quantum
information theory have their cosmological descriptions. Particularly, we show
complexity of a tensor network can be regarded as a Fisher information
measure(FIM) of a dS universe, followed by several observations: (i) the
holographic entanglement entropy has a tensor-network description and admits a
information-theoretical interpretation, (ii) on-shell action of dS spacetime
has a same description of FIM, (iii) complexity/action(CA) duality holds for dS
spacetime. Our result is also valid for $f(R)$ gravity, whose FIM exhibits the
same features of a recent proposed $L^n$ norm complexity.
