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

A Jahn, J Eisert - Quantum Science and Technology, 2021 - iopscience.iop.org
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 …

Anyonic defect branes and conformal blocks in twisted equivariant differential (TED) K-theory

H Sati, U Schreiber - Reviews in Mathematical Physics, 2023 - World Scientific
We demonstrate that twisted equivariant differential K-theory of transverse complex curves
accommodates exotic charges of the form expected of codimension= 2 defect branes, such …

Universal fault-tolerant quantum computing with stabilizer codes

P Webster, M Vasmer, TR Scruby, SD Bartlett - Physical Review Research, 2022 - APS
The quantum logic gates used in the design of a quantum computer should be both
universal, meaning arbitrary quantum computations can be performed, and fault-tolerant …

Far from perfect: Quantum error correction with (hyperinvariant) evenbly codes

M Steinberg, J Fan, RJ Harris, D Elkouss, S Feld… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce a new class of qubit codes that we call Evenbly codes, building on a previous
proposal of hyperinvariant tensor networks. Its tensor network description consists of local …

Holographic codes from hyperinvariant tensor networks

M Steinberg, S Feld, A Jahn - Nature Communications, 2023 - nature.com
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 …

Stabilizer codes have trivial area operators

CJ Cao - arXiv preprint arXiv:2306.14996, 2023 - arxiv.org
We show that no stabilizer codes over any local dimension can support a non-trivial area
operator for any bipartition of the physical degrees of freedom even if certain code …

Magic state distillation from entangled states

N Bao, CJ Cao, VP Su - Physical Review A, 2022 - APS
Magic can be distributed nonlocally in many-body entangled states, such as the low energy
states of condensed matter systems. Using the Bravyi-Kitaev magic state distillation protocol …

Gauging the bulk: generalized gauging maps and holographic codes

K Dolev, V Calvera, SS Cree, DJ Williamson - Journal of High Energy …, 2022 - Springer
A bstract Gauging is a general procedure for mapping a quantum many-body system with a
global symmetry to one with a local gauge symmetry. We consider a generalized gauging …

Non-trivial area operators require non-local magic

CJ Cao - Journal of High Energy Physics, 2024 - Springer
A bstract We show that no stabilizer codes over any local dimension can support a non-
trivial area operator for any bipartition of the physical degrees of freedom even if certain …

Overcoming the Zero-Rate Hashing Bound with Holographic Quantum Error Correction

J Fan, M Steinberg, A Jahn, C Cao, S Feld - arXiv preprint arXiv …, 2024 - arxiv.org
Several recent techniques for modifying topological codes with single-qubit Clifford
operators have shown high resilience against pure Pauli noise. Paramount to these findings …