Towards Testing Quantum Mechanics on NISQ Devices and Characterizing non-Markovian noise on IBM Quantum Computers

We work towards testing the prediction of the emergent quantum mechanics (EmQM) by benchmarking a recently proposed protocol [1] on IBM's quantum computers. EmQM hypothesizes that quantum mechanics is not fundamental but instead emerges from theory with less computational power. The protocol involves simulating a non-Clifford quantum circuit with random 1-qubit and 2-qubit gates, followed by its inverse, and then measuring the fidelity. We also characterize the non-Markovian noise in the quantum devices by examining the fidelity decay rate. The presence of non-Markovian noise is indicated by a significant deviation from exponential decay at small circuit depth.