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 …
Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
B Buča - Physical Review X, 2023 - APS
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
algebraic theory of dynamics in locally interacting systems in any dimension is provided …
Conformal field theories are magical
“Magic” is the degree to which a state cannot be approximated by Clifford gates. We study
mana, a measure of magic, in the ground state of the Z 3 Potts model, and argue that it is a …
mana, a measure of magic, in the ground state of the Z 3 Potts model, and argue that it is a …
Quantum error correcting codes in eigenstates of translation-invariant spin chains
Quantum error correction was invented to allow for fault-tolerant quantum computation.
Systems with topological order turned out to give a natural physical realization of quantum …
Systems with topological order turned out to give a natural physical realization of quantum …
Robust entanglement renormalization on a noisy quantum computer
A method to study strongly interacting quantum many-body systems at and away from
criticality is proposed. The method is based on a MERA-like tensor network that can be …
criticality is proposed. The method is based on a MERA-like tensor network that can be …
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 …
10.1007/JHEP04 (2015) 163] proposed a highly illuminating connection between the …
Holographic space-time and quantum information
T Banks - Frontiers in physics, 2020 - frontiersin.org
The formalism of Holographic Space-time (HST) is a translation of the principles of
Lorentzian geometry into the language of quantum information. Intervals along time-like …
Lorentzian geometry into the language of quantum information. Intervals along time-like …
The universe as a quantum encoder
J Cotler, A Strominger - arXiv preprint arXiv:2201.11658, 2022 - arxiv.org
Quantum mechanical unitarity in our universe is challenged both by the notion of the big
bang, in which nothing transforms into something, and the expansion of space, in which …
bang, in which nothing transforms into something, and the expansion of space, in which …
Exact quantum algorithms for quantum phase recognition: Renormalization group and error correction
We explore the relationship between renormalization group (RG) flow and error correction
by constructing quantum algorithms that exactly recognize 1D symmetry-protected …
by constructing quantum algorithms that exactly recognize 1D symmetry-protected …
Approximate Bacon-Shor code and holography
A bstract We explicitly construct a class of holographic quantum error correction codes with
non-trivial centers in the code subalgebra. Specifically, we use the Bacon-Shor codes and …
non-trivial centers in the code subalgebra. Specifically, we use the Bacon-Shor codes and …