Quantum State Preparation for Probability Distributions with Reflection Symmetry Using Matrix Product States

Understand

Quantum circuits for loading probability distributions into quantum states are essential subroutines in quantum algorithms used in physics, finance engineering, and machine learning.

• The ability to implement these with high accuracy in low-depth quantum circuits is a critical issue.
• We propose a novel quantum state preparation method for probability distribution with reflection symmetry using matrix product states.
• By considering reflection symmetry, our method reduces the entanglement of probability distributions and improves the accuracy of approximations by matrix product states.