Dimensional Expressivity Analysis of Parametric Quantum Circuits

Understand

Parametric quantum circuits play a crucial role in the performance of many variational quantum algorithms.

• To successfully implement such algorithms, one must design efficient quantum circuits that sufficiently approximate the solution space while maintaining a low parameter count and circuit depth.
• In this paper, we develop a method to analyze the dimensional expressivity of parametric quantum circuits.
• Our technique allows for identifying superfluous parameters in the circuit layout and for obtaining a maximally expressive ansatz with a minimum number of parameters.