Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions

Understand

The multiscale entanglement renormalization ansatz describes quantum many-body states by a hierarchical entanglement structure organized by length scale.

• Numerically, it has been demonstrated to capture critical lattice models and the data of the corresponding conformal field theories with high accuracy.
• However, a rigorous understanding of its success and precise relation to the continuum is still lacking.
• To address this challenge, we provide an explicit construction of entanglement-renormalization quantum circuits that rigorously approximate correlation functions of the massless Dirac conformal field theory.