Digital Quantum Simulation of Minimal AdS/CFT.

We propose the digital quantum simulation of a minimal AdS/CFT model in controllable quantum platforms. We consider the Sachdev-Ye-Kitaev model describing interacting Majorana fermions with randomly distributed all-to-all couplings, encoding nonlocal fermionic operators onto qubits to efficiently implement their dynamics via digital techniques. Moreover, we also give a method for probing nonequilibrium dynamics and the scrambling of information. Finally, our approach serves as a protocol for reproducing a simplified low-dimensional model of quantum gravity in advanced quantum platforms as trapped ions and superconducting circuits.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  W. Marsden I and J , 2012 .

[3]  47 , 2014, Fetch the Devil.