Pieter Naaijkens

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All published works

Action	Title	Year	Authors
+	Local topological order and boundary algebras	2023	Corey Jones Pieter Naaijkens David Penneys Daniel Wallick
+ PDF Chat	The Split and Approximate Split Property in 2D Systems: Stability and Absence of Superselection Sectors	2022	Pieter Naaijkens Yoshiko Ogata
+ PDF Chat	An entropic invariant for 2D gapped quantum phases	2019	Kohtaro Kato Pieter Naaijkens
+ PDF Chat	On the Stability of Charges in Infinite Quantum Spin Systems	2019	Matthew Cha Pieter Naaijkens Bruno Nachtergaele
+ PDF Chat	Subfactors and quantum information theory	2018	Pieter Naaijkens
+ PDF Chat	The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models	2017	Matthew Cha Pieter Naaijkens Bruno Nachtergaele
+	Quantum Spin Systems on Infinite Lattices: A Concise Introduction	2017	Pieter Naaijkens
+ PDF Chat	Jones index, secret sharing and total quantum dimension	2017	Leander Fiedler Pieter Naaijkens Tobias J. Osborne
+ PDF Chat	Quantum Spin Systems on Infinite Lattices	2017	Pieter Naaijkens
+	Local Quantum Physics	2017	Pieter Naaijkens
+	Applications of Lieb-Robinson Bounds	2017	Pieter Naaijkens
+	Lieb-Robinson Bounds	2017	Pieter Naaijkens
+	Introduction	2017	Pieter Naaijkens
+	Operator Algebras	2017	Pieter Naaijkens
+	Infinite Systems	2017	Pieter Naaijkens
+	Operator Algebras and Data Hiding in Topologically Ordered Systems	2016	Pieter Naaijkens Leander Fiedler Tobias J. Osborne
+	Jones index, data hiding and total quantum dimension	2016	Leander Fiedler Pieter Naaijkens Tobias J. Osborne
+ PDF Chat	Lieb–Robinson Bounds, Arveson Spectrum and Haag–Ruelle Scattering Theory for Gapped Quantum Spin Systems	2015	Sven Bachmann Wojciech Dybalski Pieter Naaijkens
+ PDF Chat	Haag duality for Kitaev’s quantum double model for abelian groups	2015	Leander Fiedler Pieter Naaijkens
+ PDF Chat	On enriching the Levin–Wen model with symmetry	2015	Liang Chang Meng Cheng Shawn X. Cui Yuting Hu Wei Jin Ramis Movassagh Pieter Naaijkens Zhenghan Wang Amanda Young
+ PDF Chat	Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View	2015	Pieter Naaijkens
+	Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems	2014	Sven Bachmann Wojciech Dybalski Pieter Naaijkens
+	Lieb-Robinson bounds, Arveson spectrum and Haag-Ruelle scattering theory for gapped quantum spin systems	2014	Sven Bachmann Wojciech Dybalski Pieter Naaijkens
+ PDF Chat	Kosaki-Longo index and classification of charges in 2D quantum spin models	2013	Pieter Naaijkens
+ PDF Chat	Haag Duality and the Distal Split Property for Cones in the Toric Code	2012	Pieter Naaijkens
+ PDF Chat	LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE	2011	Pieter Naaijkens
+ PDF Chat	On the Extension of Stringlike Localised Sectors in 2+1 Dimensions	2011	Pieter Naaijkens
+ PDF Chat	Four-point functions of different-weight operators in the AdS/CFT correspondence	2008	León Berdichevsky Pieter Naaijkens

Common Coauthors

Coauthor	Papers Together
Leander Fiedler	4
Wojciech Dybalski	3
Tobias J. Osborne	3
Sven Bachmann	3
Bruno Nachtergaele	2
Matthew Cha	2
León Berdichevsky	1
Ramis Movassagh	1
Yuting Hu	1
David Penneys	1
Amanda Young	1
Zhenghan Wang	1
Liang Chang	1
Kohtaro Kato	1
Wei Jin	1
Yoshiko Ogata	1
Shawn X. Cui	1
Daniel Wallick	1
Corey Jones	1
Meng Cheng	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Fault-tolerant quantum computation by anyons	2003	Alexei Kitaev	16
+ PDF Chat	LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE	2011	Pieter Naaijkens	14
+	Operator Algebras and Quantum Statistical Mechanics	1997	Ola Bratteli Derek W. Robinson	13
+	Operator Algebras and Quantum Statistical Mechanics 1	1987	Ola Bratteli Derek W. Robinson	12
+ PDF Chat	Topological Quantum Computation	2010	Michael Freedman Alexei Kitaev Michael Larsen Zhenghan Wang	12
+ PDF Chat	Automorphic Equivalence within Gapped Phases of Quantum Lattice Systems	2011	Sven Bachmann Spyridon Michalakis Bruno Nachtergaele Robert Sims	9
+ PDF Chat	Lieb-Robinson Bounds and the Exponential Clustering Theorem	2006	Bruno Nachtergaele Robert Sims	9
+ PDF Chat	A statistical mechanics view on Kitaev's proposal for quantum memories	2007	Robert Alicki M. Fannes Michał Horodecki	9
+	Superselection sectors with braid group statistics and exchange algebras	1989	Klaus Fredenhagen Karl-Henning Rehren Bert Schroer	9
+ PDF Chat	Haag Duality and the Distal Split Property for Cones in the Toric Code	2012	Pieter Naaijkens	8
+ PDF Chat	Haag duality for Kitaev’s quantum double model for abelian groups	2015	Leander Fiedler Pieter Naaijkens	8
+	Lectures on Tensor Categories and Modular Functors	2000	Bojko Bakalov Alexander Kirillov	7
+ PDF Chat	Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order	2010	Xie Chen Zheng‐Cheng Gu Xiao-Gang Wen	7
+	BRAID STATISTICS IN LOCAL QUANTUM THEORY	1990	Jürg Fröhlich Fabrizio Gabbiani	7
+ PDF Chat	ALGEBRAIC QUANTUM FIELD THEORY	2007	Hans Halvorson Michael Mueger	7
+ PDF Chat	Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics	1990	Sergio Doplicher John E. Roberts	6
+ PDF Chat	Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance	2005	M. B. Hastings Xiao-Gang Wen	6
+ PDF Chat	Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement	2008	H. Bombin M. A. Martín-Delgado	6
+ PDF Chat	A Short Proof of Stability of Topological Order under Local Perturbations	2011	Sergey Bravyi Matthew B. Hastings	6
+ PDF Chat	String-net condensation: A physical mechanism for topological phases	2005	Michael Levin Xiao-Gang Wen	6
+ PDF Chat	Non-Abelian anyons and topological quantum computation	2008	Chetan Nayak Steven H. Simon Ady Stern Michael Freedman S. Das Sarma	6
+ PDF Chat	An Invariant of Topologically Ordered States Under Local Unitary Transformations	2016	Jeongwan Haah	6
+ PDF Chat	Propagation of Correlations in Quantum Lattice Systems	2006	Bruno Nachtergaele Yoshiko Ogata Robert Sims	6
+	SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE	1992	Klaus Fredenhagen Karl-Henning Rehren Bert Schroer	6
+	Quantum symmetry and braid group statistics inG-spin models	1993	Kornél Szlachányi Péter Vecsernyés	6
+ PDF Chat	Topological quantum order: Stability under local perturbations	2010	Sergey Bravyi Matthew B. Hastings Spyridon Michalakis	5
+	Spectral gap, and split property in quantum spin chains	2010	Taku Matsui	5
+ PDF Chat	Detecting Topological Order in a Ground State Wave Function	2006	Michael Levin Xiao-Gang Wen	5
+	Theory of Operator Algebras II	2003	Masamichi Takesaki	5
+	Standard and split inclusions of von Neumann algebras	1984	Sergio Doplicher Roberto Longo	5
+ PDF Chat	Stability of Frustration-Free Hamiltonians	2013	Spyridon Michalakis Justyna P. Zwolak	5
+ PDF Chat	Kosaki-Longo index and classification of charges in 2D quantum spin models	2013	Pieter Naaijkens	5
+ PDF Chat	Multi-Interval Subfactors and Modularity¶of Representations in Conformal Field Theory	2001	Yasuyuki Kawahigashi Roberto Longo Michael Müger	5
+ PDF Chat	Anyons in an exactly solved model and beyond	2006	Alexei Kitaev	5
+ PDF Chat	Topological Entanglement Entropy	2006	Alexei Kitaev John Preskill	5
+ PDF Chat	ENTANGLEMENT, HAAG-DUALITY AND TYPE PROPERTIES OF INFINITE QUANTUM SPIN CHAINS	2006	Michael Keyl Taku Matsui D. Schlingemann Reinhard F. Werner	5
+	Fusion rules and modular transformations in 2D conformal field theory	1988	Erik Verlinde	5
+	Quantum Groups	1994	Christian Kassel	4
+	Locality Estimates for Quantum Spin Systems	2009	Bruno Nachtergaele Robert Sims	4
+ PDF Chat	Spectral Gap and Exponential Decay of Correlations	2006	Matthew B. Hastings Tohru Koma	4
+	Abstract duality for symmetric tensor *-categories	2007	Michael Müger	4
+ PDF Chat	The Complete Set of Infinite Volume Ground States for Kitaev’s Abelian Quantum Double Models	2017	Matthew Cha Pieter Naaijkens Bruno Nachtergaele	4
+ PDF Chat	Quantum Chains of Hopf Algebras with Quantum Double Cosymmetry	1997	Florian Nill Kornél Szlachányi	4
+	Local preparability of states and the split property in quantum field theory	1987	Reinhard F. Werner	4
+ PDF Chat	Lieb-Schultz-Mattis in higher dimensions	2004	M. B. Hastings	4
+ PDF Chat	Elementary Excitations in Gapped Quantum Spin Systems	2013	Jutho Haegeman Spyridon Michalakis Bruno Nachtergaele Tobias J. Osborne Norbert Schuch Frank Verstraete	4
+ PDF Chat	Harmonic analysis of local operators	1990	Detlev Buchholz	4
+ PDF Chat	Ground States in Relatively Bounded Quantum Perturbations of Classical Lattice Systems	2005	Dmitry Yarotsky	4
+	The Split Property and the Symmetry Breaking¶of the Quantum Spin Chain	2001	Taku Matsui	4
+	The Commutation Theorem for Tensor Products of von Neumann Algebras	1975	Marc A. Rieffel Alfons Van Daele	4