Quantum computation as gravity
We formulate Nielsen's geometric approach to circuit complexity in the context of two-
dimensional conformal field theories, where series of conformal transformations are …
dimensional conformal field theories, where series of conformal transformations are …
Geometric interpretation of the multi-scale entanglement renormalization ansatz
The multi-scale entanglement renormalization ansatz (MERA) is a tensor network
representation for ground states of critical quantum spin chains, with a network that extends …
representation for ground states of critical quantum spin chains, with a network that extends …
Complexity functionals and complexity growth limits in continuous MERA circuits
A bstract Using the path integral associated to a cMERA tensor network, we provide an
operational definition for the complexity of a cMERA circuit/state which is relevant to …
operational definition for the complexity of a cMERA circuit/state which is relevant to …
Non-Gaussian entanglement renormalization for quantum fields
JJ Fernandez-Melgarejo, J Molina-Vilaplana - Journal of High Energy …, 2020 - Springer
A bstract In this work, a non-Gaussian cMERA tensor network for interacting quantum field
theories (icMERA) is presented. This consists of a continuous tensor network circuit in which …
theories (icMERA) is presented. This consists of a continuous tensor network circuit in which …
Entanglement and correlations in the continuous multi-scale entanglement renormalization ansatz
A bstract We investigate the entanglement structure of the continuous multi-scale
entanglement renormalization ansatz (cMERA)[Haegeman et al., Phys. Rev. Lett. 110 (2013) …
entanglement renormalization ansatz (cMERA)[Haegeman et al., Phys. Rev. Lett. 110 (2013) …
Entanglement renormalization for interacting field theories
JJ Fernandez-Melgarejo, J Molina-Vilaplana… - Physical Review D, 2019 - APS
A general method to build the entanglement renormalization (cMERA) for interacting
quantum field theories is presented. We improve upon the well-known Gaussian formalism …
quantum field theories is presented. We improve upon the well-known Gaussian formalism …
Magic entanglement renormalization for quantum fields
Continuous tensor networks are variational wavefunctions proposed in recent years to
efficiently simulate quantum field theories (QFTs). Prominent examples include the …
efficiently simulate quantum field theories (QFTs). Prominent examples include the …
Continuous tensor network renormalization for quantum fields
On the lattice, a renormalization group (RG) flow for two-dimensional partition functions
expressed as a tensor network can be obtained using the tensor network renormalization …
expressed as a tensor network can be obtained using the tensor network renormalization …
The large N limit of icMERA and holography
JJ Fernández-Melgarejo, J Molina-Vilaplana - Journal of High Energy …, 2022 - Springer
A bstract In this work, we compute the entanglement entropy in continuous icMERA tensor
networks for large N models at strong coupling. Our results show that the 1/N quantum …
networks for large N models at strong coupling. Our results show that the 1/N quantum …
Entanglement renormalization for gauge invariant quantum fields
The continuous multiscale entaglement renormalization ansatz (cMERA)[Haegeman et al.,
Phys. Rev. Lett. 110, 100402 (2013) PRLTAO 0031-9007 10.1103/PhysRevLett …
Phys. Rev. Lett. 110, 100402 (2013) PRLTAO 0031-9007 10.1103/PhysRevLett …