Realizing supersymmetry in a digitized quantum device

The tri-critical Ising model serves as an example of emergent spacetime supersymmetry, which can manifest in condensed matter systems. In this work, we propose a variational quantum circuit to generate this state on a digitized quantum computer. We successfully create the state on an IBM quantum device and verify the critical correlations associated with the supercharges. Additionally, we explore other signatures of the state that can be investigated on quantum devices, such as gap ratios and the central charge.