4.6 Article

SU(N) toric code and non-Abelian anyons

Related references

Note: Only part of the references are listed.
Article Materials Science, Multidisciplinary

Z2 lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation

Lukas Homeier et al.

Summary: This work presents a building block for Z(2) lattice gauge theories coupled to dynamical matter, enabling the implementation of the toric code ground state and its topological excitations. The proposal is realized in the second-order coupling regime and is well suited for superconducting qubit implementations. The study outlines a pathway for preparing topologically nontrivial initial states and experimental signatures of the ground-state wave function.

PHYSICAL REVIEW B (2021)

Article Optics

Simulating lattice gauge theories within quantum technologies

Mari Carmen Banuls et al.

EUROPEAN PHYSICAL JOURNAL D (2020)

Article Physics, Multidisciplinary

Towards analog quantum simulations of lattice gauge theories with trapped ions

Zohreh Davoudi et al.

PHYSICAL REVIEW RESEARCH (2020)

Article Quantum Science & Technology

Introduction to topological quantum computation with non-Abelian anyons

Bernard Field et al.

QUANTUM SCIENCE AND TECHNOLOGY (2018)

Article Astronomy & Astrophysics

Lattice gauge theories and spin models

Manu Mathur et al.

PHYSICAL REVIEW D (2016)

Article Astronomy & Astrophysics

Canonical transformations and loop formulation of SU(N) lattice gauge theories

Manu Mathur et al.

PHYSICAL REVIEW D (2015)

Article Physics, Multidisciplinary

Optical Abelian lattice gauge theories

L. Tagliacozzo et al.

ANNALS OF PHYSICS (2013)

Article Physics, Multidisciplinary

Breakdown of a perturbed ZN topological phase

Marc Daniel Schulz et al.

NEW JOURNAL OF PHYSICS (2012)

Article Physics, Multidisciplinary

Engineering complex topological memories from simple Abelian models

James R. Wootton et al.

ANNALS OF PHYSICS (2011)

Article Physics, Multidisciplinary

Confinement and Lattice Quantum-Electrodynamic Electric Flux Tubes Simulated with Ultracold Atoms

Erez Zohar et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Multidisciplinary

A Rydberg quantum simulator

Hendrik Weimer et al.

NATURE PHYSICS (2010)

Article Materials Science, Multidisciplinary

Condensate-induced transitions between topologically ordered phases

F. A. Bais et al.

PHYSICAL REVIEW B (2009)

Review Physics, Multidisciplinary

Non-Abelian anyons and topological quantum computation

Chetan Nayak et al.

REVIEWS OF MODERN PHYSICS (2008)

Article Physics, Particles & Fields

Loop approach to lattice gauge theories

Manu Mathur

NUCLEAR PHYSICS B (2007)

Article Astronomy & Astrophysics

The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

H. Reinhardt et al.

PHYSICAL REVIEW D (2007)

Article Materials Science, Multidisciplinary

String-net condensation: A physical mechanism for topological phases

MA Levin et al.

PHYSICAL REVIEW B (2005)

Article Astronomy & Astrophysics

On 't Hooft's loop operator

H Reinhardt

PHYSICS LETTERS B (2003)

Article Physics, Multidisciplinary

Fault-tolerant quantum computation by anyons

AY Kitaev

ANNALS OF PHYSICS (2003)

Article Physics, Particles & Fields

The basis of the physical Hilbert space of lattice gauge theories

G Burgio et al.

NUCLEAR PHYSICS B (2000)