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 …

[HTML][HTML] Layer codes

DJ Williamson, N Baspin - Nature Communications, 2024 - nature.com
Quantum computers require memories that are capable of storing quantum information
reliably for long periods of time. The surface code is a two-dimensional quantum memory …

and EE, with implications for (A)dS subregion encodings

A Lewkowycz, J Liu, E Silverstein, G Torroba - Journal of High Energy …, 2020 - Springer
A bstract We initiate a study of subregion dualities, entropy, and redundant encoding of bulk
points in holographic theories deformed by\(T\overline {T}\) and its generalizations. This …

The ghost in the radiation: Robust encodings of the black hole interior

I Kim, E Tang, J Preskill - Journal of High Energy Physics, 2020 - Springer
A bstract We reconsider the black hole firewall puzzle, emphasizing that quantum error-
correction, computational complexity, and pseudorandomness are crucial concepts for …

Complexity and order in approximate quantum error-correcting codes

J Yi, W Ye, D Gottesman, ZW Liu - Nature Physics, 2024 - nature.com
Some form of quantum error correction is necessary to produce large-scale fault-tolerant
quantum computers and finds broad relevance in physics. Most studies customarily assume …

Improved rate-distance trade-offs for quantum codes with restricted connectivity

N Baspin, V Guruswami, A Krishna… - Quantum Science and …, 2024 - iopscience.iop.org
For quantum error-correcting codes to be realizable, it is important that the qubits subject to
the code constraints exhibit some form of limited connectivity. The works of Bravyi and …

The Physics of (good) LDPC Codes I. Gauging and dualities

T Rakovszky, V Khemani - arXiv preprint arXiv:2310.16032, 2023 - arxiv.org
Low-depth parity check (LDPC) codes are a paradigm of error correction that allow for
spatially non-local interactions between (qu) bits, while still enforcing that each (qu) bit …

Code properties from holographic geometries

F Pastawski, J Preskill - Physical Review X, 2017 - APS
Almheiri, Dong, and Harlow [J. High Energy Phys. 04 (2015) 163. JHEPFG 1029-8479
10.1007/JHEP04 (2015) 163] proposed a highly illuminating connection between the …

Quantum approximate Markov chains are thermal

K Kato, FGSL Brandao - Communications in Mathematical Physics, 2019 - Springer
We prove that any one-dimensional (1D) quantum state with small quantum conditional
mutual information in all certain tripartite splits of the system, which we call a quantum …

Recoverable information and emergent conservation laws in fracton stabilizer codes

AT Schmitz, H Ma, RM Nandkishore… - Physical Review B, 2018 - APS
We introduce a new quantity that we term recoverable information, defined for stabilizer
Hamiltonians. For such models, the recoverable information provides a measure of the …