Search Results - "Naaijkens, Pieter"

On the Stability of Charges in Infinite Quantum Spin Systems by Cha, Matthew, Naaijkens, Pieter, Nachtergaele, Bruno

“…We consider a theory of superselection sectors for infinite quantum spin systems, describing charges that can be approximately localized in cone-like regions…”
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The Split and Approximate Split Property in 2D Systems: Stability and Absence of Superselection Sectors by Naaijkens, Pieter, Ogata, Yoshiko

“…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…”
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The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models by Cha, Matthew, Naaijkens, Pieter, Nachtergaele, Bruno

“…We study the set of infinite volume ground states of Kitaev’s quantum double model on Z 2 for an arbitrary finite abelian group G . It is known that these…”
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Haag Duality and the Distal Split Property for Cones in the Toric Code by Naaijkens, Pieter

“…We prove that Haag duality holds for cones in the toric code model. That is, for a cone Λ, the algebra of observables localized in Λ and the algebra of…”
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Jones index, secret sharing and total quantum dimension by Fiedler, Leander, Naaijkens, Pieter, Osborne, Tobias J

“…We study the total quantum dimension in the thermodynamic limit of topologically ordered systems. In particular, using the anyons (or superselection sectors)…”
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Lieb–Robinson Bounds, Arveson Spectrum and Haag–Ruelle Scattering Theory for Gapped Quantum Spin Systems by Bachmann, Sven, Dybalski, Wojciech, Naaijkens, Pieter

“…We consider translation invariant gapped quantum spin systems satisfying the Lieb–Robinson bound and containing single-particle states in a ground state…”
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On the Extension of Stringlike Localised Sectors in 2+1 Dimensions by Naaijkens, Pieter

“…In the framework of algebraic quantum field theory, we study the category of stringlike localised representations of a net of observables in three dimensions…”
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The split and approximate split property in 2D systems: stability and absence of superselection sectors by Naaijkens, Pieter, Ogata, Yoshiko

“…Commun. Math. Phys. 392, 921-950 (2022) The split property of a pure state for a certain cut of a quantum spin system can be understood as the entanglement…”
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Subfactors and quantum information theory by Naaijkens, Pieter

“…Contemporary Mathematics 717, pp. 257-279 (2018) We consider quantum information tasks in an operator algebraic setting, where we consider normal states on von…”
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Quantum spin systems on infinite lattices by Naaijkens, Pieter

“…Lecture Notes in Physics 933, Springer International Publishing (Cham), 2017 This is an extended and corrected version of lecture notes originally written for…”
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An entropic invariant for 2D gapped quantum phases by Kato, Kohtaro, Naaijkens, Pieter

“…J. Phys. A-Math. Theor., 53, 085302 (2020) We introduce an entropic quantity for two-dimensional (2D) quantum spin systems to characterize gapped quantum…”
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Local topological order and boundary algebras by Jones, Corey, Naaijkens, Pieter, Penneys, David, Wallick, Daniel

“…We introduce a set of axioms for locally topologically ordered quantum spin systems in terms of nets of local ground state projections, and we show they are…”
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Kitaev's quantum double model from a local quantum physics point of view by Naaijkens, Pieter

“…Advances in Algebraic Quantum Field Theory, pp 365-395 (Springer 2015) A prominent example of a topologically ordered system is Kitaev's quantum double model…”
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Kosaki-Longo index and classification of charges in 2D quantum spin models by Naaijkens, Pieter

“…J. Math. Phys. 54, 081901 (2013) We consider charge superselection sectors of two-dimensional quantum spin models corresponding to cone localisable charges,…”
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Haag duality for Kitaev's quantum double model for abelian groups by Fiedler, Leander, Naaijkens, Pieter

“…Rev. Math. Phys. 27, 1550021 (2015) We prove Haag duality for conelike regions in the ground state representation corresponding to the translational invariant…”
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On the stability of charges in infinite quantum spin systems by Cha, Matthew, Naaijkens, Pieter, Nachtergaele, Bruno

“…Commun. Math. Phys. 373, 219-264 (2020) We consider a theory of superselection sectors for infinite quantum spin systems, describing charges that can be…”
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Haag duality and the distal split property for cones in the toric code by Naaijkens, Pieter

“…Lett. Math. Phys. 101 (2012), 341-354 We prove that Haag duality holds for cones in the toric code model. That is, for a cone Lambda, the algebra R_Lambda of…”
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Localized endomorphisms in Kitaev's toric code on the plane by Naaijkens, Pieter

“…Rev. Math. Phys. 23 (2011), 347-373 We consider various aspects of Kitaev's toric code model on a plane in the C^*-algebraic approach to quantum spin systems…”
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On the extension of stringlike localised sectors in 2+1 dimensions by Naaijkens, Pieter

“…Commun.Math.Phys.303:385-420,2011 In the framework of algebraic quantum field theory, we study the category \Delta_BF^A of stringlike localised representations…”
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The complete set of infinite volume ground states for Kitaev's abelian quantum double models by Cha, Matthew, Naaijkens, Pieter, Nachtergaele, Bruno

“…Commun. Math. Phys. 357, 125-157 (2018) We study the set of infinite volume ground states of Kitaev's quantum double model on $\mathbb{Z}^2$ for an arbitrary…”
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