Colloquium: Area laws for the entanglement entropy

J Eisert, M Cramer, MB Plenio - Reviews of modern physics, 2010 - APS
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

Area laws for the entanglement entropy-a review

J Eisert, M Cramer, MB Plenio - arXiv preprint arXiv:0808.3773, 2008 - arxiv.org
Physical interactions in quantum many-body systems are typically local: Individual
constituents interact mainly with their few nearest neighbors. This locality of interactions is …

[图书][B] Introduction to topological quantum computation

JK Pachos - 2012 - books.google.com
Combining physics, mathematics and computer science, topological quantum computation
is a rapidly expanding research area focused on the exploration of quantum evolutions that …

Quantum memories at finite temperature

BJ Brown, D Loss, JK Pachos, CN Self… - Reviews of Modern Physics, 2016 - APS
To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

PEPS as ground states: Degeneracy and topology

N Schuch, I Cirac, D Pérez-García - Annals of Physics, 2010 - Elsevier
We introduce a framework for characterizing Matrix Product States (MPS) and Projected
Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how …

Clustering of conditional mutual information for quantum Gibbs states above a threshold temperature

T Kuwahara, K Kato, FGSL Brandão - Physical review letters, 2020 - APS
We prove that the quantum Gibbs states of spin systems above a certain threshold
temperature are approximate quantum Markov networks, meaning that the conditional …

Topological order at nonzero temperature

MB Hastings - Physical review letters, 2011 - APS
We propose a definition for topological order at nonzero temperature in analogy to the usual
zero temperature definition that a state is topologically ordered, or “nontrivial”, if it cannot be …

Universal topological phase of two-dimensional stabilizer codes

H Bombin, G Duclos-Cianci, D Poulin - New Journal of Physics, 2012 - iopscience.iop.org
Topological phases can be defined in terms of local equivalence: two systems are in the
same topological phase if it is possible to transform one into the other by a local …

Error threshold for color codes and random three-body Ising models

HG Katzgraber, H Bombín, MA Martin-Delgado - Physical review letters, 2009 - APS
We study the error threshold of color codes, a class of topological quantum codes that allow
a direct implementation of quantum Clifford gates suitable for entanglement distillation …

Majorana fermion codes

S Bravyi, BM Terhal, B Leemhuis - New Journal of Physics, 2010 - iopscience.iop.org
We initiate the study of Majorana fermion codes (MFCs). These codes can be viewed as
extensions of Kitaev's one-dimensional (1D) model of unpaired Majorana fermions in …