Quantum memories at finite temperature
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 …
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …
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 …
temperature are approximate quantum Markov networks, meaning that the conditional …
Detecting topological order at finite temperature using entanglement negativity
We propose a diagnostic for finite temperature topological order using “topological
entanglement negativity,” the long-range component of a mixed-state entanglement …
entanglement negativity,” the long-range component of a mixed-state entanglement …
Characterizing long-range entanglement in a mixed state through an emergent order on the entangling surface
Topologically-ordered phases of matter at nonzero temperature are conjectured to exhibit
universal patterns of long-range entanglement, which can be detected using the …
universal patterns of long-range entanglement, which can be detected using the …
Wire constructions of Abelian topological phases in three or more dimensions
Coupled-wire constructions have proven to be useful tools to characterize Abelian and non-
Abelian topological states of matter in two spatial dimensions. In many cases, their success …
Abelian topological states of matter in two spatial dimensions. In many cases, their success …
Higher-dimensional quantum hypergraph-product codes with finite rates
W Zeng, LP Pryadko - Physical review letters, 2019 - APS
We describe a family of quantum error-correcting codes which generalize both the quantum
hypergraph-product codes by Tillich and Zémor and all families of toric codes on m …
hypergraph-product codes by Tillich and Zémor and all families of toric codes on m …
Mixed -sourcery: Building many-body states using bubbles of nothing
B Swingle, J McGreevy - Physical Review B, 2016 - APS
We recently introduced the idea of s-sourcery [B. Swingle and J. McGreevy, Phys. Rev. B 93,
045127 (2016) 10.1103/PhysRevB. 93.045127], a general formalism for building many-body …
045127 (2016) 10.1103/PhysRevB. 93.045127], a general formalism for building many-body …
Anyonic self-induced disorder in a stabilizer code: Quasi many-body localization in a translational invariant model
H Yarloo, A Langari, A Vaezi - Physical Review B, 2018 - APS
We enquire into the quasi many-body localization in topologically ordered states of matter,
revolving around the case of Kitaev toric code on the ladder geometry, where different types …
revolving around the case of Kitaev toric code on the ladder geometry, where different types …
Long-range entanglement is necessary for a topological storage of quantum information
IH Kim - Physical review letters, 2013 - APS
A general inequality between entanglement entropy and a number of topologically ordered
states is derived, even without using the properties of the parent Hamiltonian or the …
states is derived, even without using the properties of the parent Hamiltonian or the …
Minimal distances for certain quantum product codes and tensor products of chain complexes
W Zeng, LP Pryadko - Physical Review A, 2020 - APS
We use a map to quantum error-correcting codes and a subspace projection to get lower
bounds for minimal homological distances in a tensor product of two chain complexes of …
bounds for minimal homological distances in a tensor product of two chain complexes of …