PIRSA:17040038

# The continuous multi-scale entanglement renormalization ansatz (cMERA)

### APA

Vidal, G. (2017). The continuous multi-scale entanglement renormalization ansatz (cMERA). Perimeter Institute. https://pirsa.org/17040038

### MLA

Vidal, Guifre. The continuous multi-scale entanglement renormalization ansatz (cMERA). Perimeter Institute, Apr. 19, 2017, https://pirsa.org/17040038

### BibTex

```          @misc{ pirsa_17040038,
doi = {10.48660/17040038},
url = {https://pirsa.org/17040038},
author = {Vidal, Guifre},
keywords = {Condensed Matter, Quantum Fields and Strings, Quantum Gravity, Quantum Information},
language = {en},
title = {The continuous multi-scale entanglement renormalization ansatz (cMERA)},
publisher = {Perimeter Institute},
year = {2017},
month = {apr},
note = {PIRSA:17040038 see, \url{https://pirsa.org}}
}
```

Guifre Vidal Alphabet (United States)

Talk Type
Subject

## Abstract

The first half of the talk will introduce the cMERA, as proposed by Haegeman, Osborne, Verschelde and Verstratete in 2011 [1], as an extension to quantum field theories (QFTs) in the continuum of the MERA tensor network for lattice systems. The second half of the talk will review recent results [2] that show how a cMERA optimized to approximate the ground state of a conformal field theory (CFT) retains all of its spacetime symmetries, although these symmetries are realized quasi-locally. In particular, the conformal data of the original CFT can be extracted from the optimized cMERA. [1] J. Haegeman, T. J. Osborne, H. Verschelde, F. Verstraete, Entanglement renormalization for quantum fields, Phys. Rev. Lett, 110, 100402 (2013), arXiv:1102.5524 [2] Q. Hu, G. Vidal, Spacetime symmetries and conformal data in the continuous multi-scale entanglement renormalization ansatz, arXiv:1703.04798