



@article {2413,
	title = {Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions},
	year = {2019},
	month = {05/21/2019},
	abstract = {<p>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. We directly target the continuum theory: discreteness is introduced by our choice of how to probe the system, not by any underlying short-distance lattice regulator. To achieve this, we use multiresolution analysis from wavelet theory to obtain an approximation scheme and to implement entanglement renormalization in a natural way. This could be a starting point for constructing quantum circuit approximations for more general conformal field theories.\&nbsp;</p>},
	url = {https://arxiv.org/abs/1905.08821},
	author = {Freek Witteveen and Volkher Scholz and Brian Swingle and Michael Walter}
}
