Holographic tensor network models and quantum error correction: a topical review
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 …
string theory, has led to a confluence with concepts and techniques from quantum …
and EE, with implications for (A)dS subregion encodings
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 …
points in holographic theories deformed by\(T\overline {T}\) and its generalizations. This …
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 …
reliably for long periods of time. The surface code is a two-dimensional quantum memory …
The ghost in the radiation: Robust encodings of the black hole interior
A bstract We reconsider the black hole firewall puzzle, emphasizing that quantum error-
correction, computational complexity, and pseudorandomness are crucial concepts for …
correction, computational complexity, and pseudorandomness are crucial concepts for …
Improved rate-distance trade-offs for quantum codes with restricted connectivity
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 code constraints exhibit some form of limited connectivity. The works of Bravyi and …
The Physics of (good) LDPC Codes I. Gauging and dualities
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 …
spatially non-local interactions between (qu) bits, while still enforcing that each (qu) bit …
Complexity and order in approximate quantum error-correcting codes
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 …
quantum computers and finds broad relevance in physics. Most studies customarily assume …
Code properties from holographic geometries
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 …
10.1007/JHEP04 (2015) 163] proposed a highly illuminating connection between the …
Quantum approximate Markov chains are thermal
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 …
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
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 …
Hamiltonians. For such models, the recoverable information provides a measure of the …