



@article {2771,
	title = {Hyper-Invariant MERA: Approximate Holographic Error Correction Codes with Power-Law Correlations},
	year = {2021},
	month = {3/15/2021},
	abstract = {<p>We consider a class of holographic tensor networks that are efficiently contractible variational ansatze, manifestly (approximate) quantum error correction codes, and can support power-law correlation functions. In the case when the network consists of a single type of tensor that also acts as an erasure correction code, we show that it cannot be both locally contractible and sustain power-law correlation functions. Motivated by this no-go theorem, and the desirability of local contractibility for an efficient variational ansatz, we provide guidelines for constructing networks consisting of multiple types of tensors that can support power-law correlation. We also provide an explicit construction of one such network, which approximates the holographic HaPPY pentagon code in the limit where variational parameters are taken to be small.</p>},
	url = {https://arxiv.org/abs/2103.08631},
	author = {ChunJun Cao and Jason Pollack and Yixu Wang}
}
@article {2300,
	title = {Holographic Complexity of Einstein-Maxwell-Dilaton Gravity},
	journal = {J. High Energ. Phys. },
	volume = {106},
	year = {2018},
	month = {2018},
	abstract = {<p>We study the holographic complexity of Einstein-Maxwell-Dilaton gravity using the recently proposed \&quot;complexity = volume\&quot; and \&quot;complexity = action\&quot; dualities. The model we consider has a ground state that is represented in the bulk via a so-called hyperscaling violating geometry. We calculate the action growth of the Wheeler-DeWitt patch of the corresponding black hole solution at non-zero temperature and find that, in the presence of violations of hyperscaling, there is a parametric enhancement of the action growth rate. We partially match this behavior to simple tensor network models which can capture aspects of hyperscaling violation. We also exhibit the switchback effect in complexity growth using shockwave geometries and comment on a subtlety of our action calculations when the metric is discontinuous at a null surface.</p>},
	doi = {https://doi.org/10.1007/JHEP09(2018)106},
	url = {https://arxiv.org/abs/1712.09826},
	author = {Brian Swingle and Yixu Wang}
}
