activity
20172024
most citedHolographic tensor network models and quantum error correction: A topical review

105 citations · 376 across the 13 of their papers we have counts for

collaborators

14 papers

quant-ph2024

Critical spin models from holographic disorder

Dimitris Saraidaris, Alexander Jahn

Discrete models of holographic dualities, typically modeled by tensor networks on hyperbolic tilings, produce quantum states with a characteristic quasiperiodic disorder not presen…

quant-ph2023★ 20 cited

Holographic Codes from Hyperinvariant Tensor Networks

Matthew Steinberg, Sebastian Feld, Alexander Jahn

Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, where a higher-dimensio…

hep-th2023★ 3 cited

Overlapping qubits from non-isometric maps and de Sitter tensor networks

ChunJun Cao, Wissam Chemissany, Alexander Jahn +1

We construct approximately local observables, or "overlapping qubits", using non-isometric maps and show that processes in local effective theories can be spoofed with a quantum sy…

quant-ph2021★ 13 cited

Boundary theories of critical matchgate tensor networks

Alexander Jahn, Marek Gluza, Charlotte Verhoeven +2

Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have prev…

quant-ph2021★ 105 cited

Holographic tensor network models and quantum error correction: A topical review

Alexander Jahn, Jens Eisert

Recent progress in studies of holographic dualities, originally motivated by insights from string theory, has led to a confluence with concepts and techniques from quantum informat…

hep-th2021★ 25 cited

Long-distance entanglement of purification and reflected entropy in conformal field theory

Hugo A. Camargo, Lucas Hackl, Michal P. Heller +2

Quantifying entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy is a new and challenging subject. In this work, w…

quant-ph2020★ 18 cited

Local optimization on pure Gaussian state manifolds

Bennet Windt, Alexander Jahn, Jens Eisert +1

We exploit insights into the geometry of bosonic and fermionic Gaussian states to develop an efficient local optimization algorithm to extremize arbitrary functions on these famili…

hep-th2020★ 39 cited

Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories

Hugo A. Camargo, Lucas Hackl, Michal P. Heller +3

Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such puri…

quant-ph2020★ 29 cited

Tensor network models of AdS/qCFT

Alexander Jahn, Zoltán Zimborás, Jens Eisert

The study of critical quantum many-body systems through conformal field theory (CFT) is one of the pillars of modern quantum physics. Certain CFTs are also understood to be dual to…

hep-th2019★ 32 cited

Central charges of aperiodic holographic tensor network models

Alexander Jahn, Zoltán Zimborás, Jens Eisert

Central to the AdS/CFT correspondence is a precise relationship between the curvature of an anti-de Sitter (AdS) spacetime and the central charge of the dual conformal field theory…

hep-th2019★ 31 cited

Majorana dimers and holographic quantum error-correcting codes

Alexander Jahn, Marek Gluza, Fernando Pastawski +1

Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the AdS/CFT correspondence. In this work, we introduce a versatile framewor…

hep-th2019★ 48 cited

Entanglement of Purification in Many Body Systems and Symmetry Breaking

Arpan Bhattacharyya, Alexander Jahn, Tadashi Takayanagi +1

We study the entanglement of purification (EoP), a measure of total correlation between two subsystems and , for free scalar field theory on a lattice and the transverse-fie…

quant-ph2017

Holography and criticality in matchgate tensor networks

Alexander Jahn, Marek Gluza, Fernando Pastawski +1

The AdS/CFT correspondence conjectures a holographic duality between gravity in a bulk space and a critical quantum field theory on its boundary. Tensor networks have come to provi…

hep-th2017★ 13 cited

Holographic Entanglement Entropy of Local Quenches in AdS/CFT: A Finite-Element Approach

Alexander Jahn, Tadashi Takayanagi

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perfo…