Spin Foam Vertex Amplitudes on Quantum Computer -- Preliminary Results

Understand

Vertex amplitudes are elementary contributions to the transition amplitudes in the spin foam models of quantum gravity.

• The purpose of this article is make the first step towards computing vertex amplitudes with the use of quantum algorithms.
• In our studies we are focused on a vertex amplitude of 3+1 D gravity, associated with a pentagram spin-network.
• Furthermore, all spin labels of the spin network are assumed to be equal $j=1/2$, which is crucial for the introduction of the \emph{intertwiner qubits}.