Quantum computers are built with state of the art sources of entangled particles that are best at mitigating issues like quantum decoherence. I assume the researchers found some ingenious way of testing ER=EPR conjecture using quantum computers’s hardware, in particular the sources of entangled particles and detectors.
I do not think the experiment had anything to do with quantum computing algorithms. The team might have just repurposed the computer for the experiment. But I am not expert, and could be wrong.
First, let's not mix making a simulation with making of the real thing. In so far as I can grasp from the video, they have created a computer simulation of theoretical wormholes, not an actual one. We have to cap our excitement about creating wormholes -- none have yet been created. They have created a simulation
only. Now my editorial: If the simulation is accurate, it will help understand how it behaves. However, knowing its behavior is not the same as knowing how to make one. Helpful to compare "knowing how an average human behave" verses "knowing how to make a human in a lab from mere molecules".
Second, that the math are the same at this stage doesn't mean that they really are the same. That is the trouble with simulations. We can only input what we know. We have no idea on what we don't know, and we also don't know the impact of said unknowns have to the correctness of the simulation. When we ask it to predict what we don't know, we should remember the limitations of the simulation are also unknowns.
In my first reply which described what I understood from the video, I use gravity in my explanation for a reason. For a long time, we thought Newton has the definitive last word. Eisenstein made it
not so. Any simulation using what we knew before Eisenstein would give you wrong representations where speed is approaching "c". With Relativity, we knew more, but that still is not it -- we now observed that stuff around galaxies are rotating faster than they "should" -- even including all relativistic concerns. So now we have introduced Dark Matter and MOD. One can consider Dark Matter another form of MOD, but just the same, any simulation using Newtons Law plus Relativity would be wrong in prediction of matters in a rotating galaxy. What other things do we not know? Unlike a part from a manufacturer, with simulation, we do not have a gauge to the limit of accuracy or correctness.
Taking from assertions in the video (and not my personal knowledge of Quantum Entanglement): As of now, we know ER=EPR. It doesn't mean they have the same fundamental physics underlying them. Both could be represented by the same math as far as we know, so simulation using our limited knowledge will have limitations that we don't know.