Variational Preparation of the SYK TFD

This repository contains code for preparing the thermofield double state of the Sachdev-Ye-Kitaev model (arXiv link). As discussed in Eternal Traversable Wormholes, for certain parameter regimes, this problem reduces to finding the ground state of a slightly modified Hamiltonian. This repository contains the code for preparing that state using techniques from variational quantum circuits, also referred to as parameterized quantum circuits, quantum neural nets, etc.

Example Usage

# generate 4 instantiations of the SYK model
python syk.py --seed 0 -N 8 --mu .01
python syk.py --seed 1 -N 8 --mu .01
python syk.py --seed 2 -N 8 --mu .01
python syk.py --seed 3 -N 8 --mu .01

# run the training procedure and plot the variational energy
julia train_pqc.jl --plot true