Quantum algorithms for grid-based variational time evolution

Understand

The simulation of quantum dynamics calls for quantum algorithms working in first quantized grid encodings.

• Here, we propose a variational quantum algorithm for performing quantum dynamics in first quantization.
• In addition to the usual reduction in circuit depth conferred by variational approaches, this algorithm also enjoys several advantages compared to previously proposed ones.
• For instance, variational approaches suffer from the need for a large number of measurements.