  Quantum simulation promises to have wide applications in many fields where
problems are hard to model with classical computers. Various quantum devices of
different platforms have been built to tackle the problems in, say, quantum
chemistry, condensed matter physics, and high-energy physics. Here, we report
an experiment towards the simulation of quantum gravity by simulating the
holographic entanglement entropy. On a six-qubit nuclear magnetic resonance
quantum simulator, we demonstrate a key result of Anti-de Sitter/conformal
field theory(\adscft) correspondence---the Ryu-Takayanagi formula is
demonstrated by measuring the relevant entanglement entropies on the perfect
tensor state. The fidelity of our experimentally prepared the six-qubit state
is 85.0\% via full state tomography and reaches 93.7\% if the signal-decay due
to decoherence is taken into account. Our experiment serves as the basic module
of simulating more complex tensor network states that exploring \adscft
correspondence. As the initial experimental attempt to study \adscft via
quantum information processing, our work opens up new avenues exploring quantum
gravity phenomena on quantum simulators.

Quantum Physics;Strongly Correlated Electrons;General Relativity and Quantum Cosmology;High Energy Physics - Theory