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Generalized symmetries in condensed matter
J McGreevy - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Generalized Symmetries in Condensed Matter | Annual Reviews Menu Publications AZ Journal
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Higher gauging and non-invertible condensation defects
We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
Snowmass white paper: Generalized symmetries in quantum field theory and beyond
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …
symmetries that act on defects and other subsystems, and symmetries that are categorical …
Anyon condensation and the color code
MS Kesselring, JC Magdalena de la Fuente… - PRX Quantum, 2024 - APS
The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …
information forms the cornerstone of many approaches to fault-tolerant quantum computing …
Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
We develop an effective field theory characterizing the impact of decoherence on states with
abelian topological order and on their capacity to protect quantum information. The …
abelian topological order and on their capacity to protect quantum information. The …
Noisy approach to intrinsically mixed-state topological order
We propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …
states subject to local correlated errors and show that the resulting mixed state can display …
Unconventional topological mixed-state transition and critical phase induced by self-dual coherent errors
YH Chen, T Grover - Physical Review B, 2024 - APS
A topological phase can undergo a phase transition driven by anyon condensation. A
potential obstruction to such a mechanism could arise if there exists a symmetry between …
potential obstruction to such a mechanism could arise if there exists a symmetry between …
Shortest route to non-Abelian topological order on a quantum processor
A highly coveted goal is to realize emergent non-Abelian gauge theories and their anyonic
excitations, which encode decoherence-free quantum information. While measurements in …
excitations, which encode decoherence-free quantum information. While measurements in …
Robust teleportation of a surface code and cascade of topological quantum phase transitions
Teleportation is a facet where quantum measurements can act as a powerful resource in
quantum physics, as local measurements allow us to steer quantum information in a …
quantum physics, as local measurements allow us to steer quantum information in a …
Aharonov–Bohm interference and statistical phase-jump evolution in fractional quantum Hall states in bilayer graphene
In the fractional quantum Hall effect, quasiparticles are collective excitations that have a
fractional charge and show fractional statistics as they interchange positions. While the …
fractional charge and show fractional statistics as they interchange positions. While the …