DHR bimodules of quasi-local algebras and symmetric quantum cellular automata
C Jones - Quantum Topology, 2024 - ems.press
DHR bimodules of quasi-local algebras and symmetric quantum cellular automata Page 1
Quantum Topol. 15 (2024), 633–686 DOI 10.4171/QT/216 © 2024 European Mathematical …
Quantum Topol. 15 (2024), 633–686 DOI 10.4171/QT/216 © 2024 European Mathematical …
Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction
We consider how the outputs of the Kadison transitivity theorem and Gelfand–Naimark–
Segal (GNS) construction may be obtained in families when the initial data are varied. More …
Segal (GNS) construction may be obtained in families when the initial data are varied. More …
The complete set of infinite volume ground states for Kitaev's abelian quantum double models
We study the set of infinite volume ground states of Kitaev's quantum double model on Z^ 2
Z 2 for an arbitrary finite abelian group G. It is known that these models have a unique …
Z 2 for an arbitrary finite abelian group G. It is known that these models have a unique …
Tensor category describing anyons in the quantum Hall effect and quantization of conductance
In this study, we examine the quantization of Hall conductance in an infinite plane geometry.
We consider a charge-conserving system with a pure, gapped infinite-volume ground state …
We consider a charge-conserving system with a pure, gapped infinite-volume ground state …
The split and approximate split property in 2D systems: stability and absence of superselection sectors
P Naaijkens, Y Ogata - Communications in Mathematical Physics, 2022 - Springer
The split property of a pure state for a certain cut of a quantum spin system can be
understood as the entanglement between the two subsystems being weak. From this point of …
understood as the entanglement between the two subsystems being weak. From this point of …
Quantum information theory and Fourier multipliers on quantum groups
C Arhancet - arxiv preprint arxiv:2008.12019, 2020 - arxiv.org
In this paper, we compute the exact values of the minimum output entropy and the
completely bounded minimal entropy of very large classes of quantum channels acting on …
completely bounded minimal entropy of very large classes of quantum channels acting on …
Demonstrating anyonic non-Abelian statistics with a minimal qudit lattice
L Byles, E Forbes, JK Pachos - arxiv preprint arxiv:2408.03377, 2024 - arxiv.org
Quantum double models provide a natural framework for realising anyons by manipulating a
lattice of qudits, which can be directly encoded in quantum simulators. In this work, we …
lattice of qudits, which can be directly encoded in quantum simulators. In this work, we …
Oriented closed surface complexes and the Kitaev model
K Szlachanyi - arxiv preprint arxiv:2302.08027, 2023 - arxiv.org
A kind of combinatorial map, called arrow presentation, is proposed to encode the data of
the oriented closed surface complex Sigma on which the Hopf algebraic Kitaev model lives …
the oriented closed surface complex Sigma on which the Hopf algebraic Kitaev model lives …
Philosophical issues concerning phase transitions and anyons: Emergence, reduction, and explanatory fictions
E Shech - Erkenntnis, 2019 - Springer
Various claims regarding intertheoretic reduction, weak and strong notions of emergence,
and explanatory fictions have been made in the context of first-order thermodynamic phase …
and explanatory fictions have been made in the context of first-order thermodynamic phase …
Classification of the anyon sectors of Kitaev's quantum double model
We give a complete classification of the anyon sectors of Kitaev's quantum double model on
the infinite triangular lattice and for finite gauge group $ G $, including the non-abelian case …
the infinite triangular lattice and for finite gauge group $ G $, including the non-abelian case …