Error mitigation for Trotter-based non-variational dynamics
The biggest obstacle to achieve important quantum computing speed-ups over classical solutions for a specific problem is noise, which is inevitabily produced whithin quantum circuits. For this reason, every quantum simulation is highly influenced by noise, which can be introduced through the quantum back-ends used or due to the gates built along the circuit. There are several types of errors that can occur, from SPAM (State Preparations and Measurement errors) to depolarizing channels (which include bit-flip and phase-flip errors due to gate infidelities), thermal relaxation or dephasing over time.
This project aims to study noise models directly from the hardware, starting with the study of systems that follow Heisenberg or Ising models to allow their reversion and their use to simulate higher-fidelity measurements.