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We prove an entanglement area law for a class of 1D quantum systems involving infinite-dimensional local Hilbert spaces.
Studies of polaron motion: Part I. the molecular-crystal model
T. Holstein · 1959
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Studies of polaron motion: Part I. the molecular-crystal model
T. Holstein · 1959
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Electron correlations in narrow energy bands
J. Hubbard · 1963
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Electron correlations in narrow energy bands
J. Hubbard · 1963
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Hamiltonian formulation of Wilson’s lattice gauge theories
J. Kogut and L. Susskind · 1975
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Hamiltonian formulation of Wilson’s lattice gauge theories
J. Kogut and L. Susskind · 1975
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Finitely correlated states on quantum spin chains
M. Fannes, B. Nachtergaele, and R. F. Werner · 1992
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Finitely correlated states on quantum spin chains
M. Fannes, B. Nachtergaele, and R. F. Werner · 1992
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Density-matrix algorithms for quantum renormalization groups
S. R. White · 1993
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Density-matrix algorithms for quantum renormalization groups
S. R. White · 1993
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Entanglement properties of the harmonic chain
K. Audenaert, J. Eisert, M. Plenio, and R. Werner · 2002
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Entanglement properties of the harmonic chain
K. Audenaert, J. Eisert, M. Plenio, and R. Werner · 2002
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Efficient classical simulation of slightly entangled quantum computations
G. Vidal · 2003
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Efficient classical simulation of slightly entangled quantum computations
G. Vidal · 2003
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A. Anshu, A. W. Harrow, and M. Soleimanifar · 2004
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A. Anshu, A. W. Harrow, and M. Soleimanifar · 2004
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Entropy, entanglement, and area: analytical results for harmonic lattice systems
M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer · 2005
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Entropy, entanglement, and area: analytical results for harmonic lattice systems
M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer · 2005
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Correlations, spectral gap and entanglement in harmonic quantum systems on generic lattices
M. Cramer and J. Eisert · 2006
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Entanglement-area law for general bosonic harmonic lattice systems
M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig · 2006
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Lieb-Robinson bounds and the exponential clustering theorem
B. Nachtergaele and R. Sims · 2006
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Correlations, spectral gap and entanglement in harmonic quantum systems on generic lattices
M. Cramer and J. Eisert · 2006
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Entanglement-area law for general bosonic harmonic lattice systems
M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig · 2006
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Lieb-Robinson bounds and the exponential clustering theorem
B. Nachtergaele and R. Sims · 2006
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Statistics dependence of the entanglement entropy
M. Cramer, J. Eisert, and M. Plenio · 2007
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An area law for one-dimensional quantum systems
M. B. Hastings · 2007
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Statistics dependence of the entanglement entropy
M. Cramer, J. Eisert, and M. Plenio · 2007
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An area law for one-dimensional quantum systems
M. B. Hastings · 2007
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Mathematical Methods in Quantum Mechanics With Applications to Schrödinger Operators
G. Teschl · 2009
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Mathematical Methods in Quantum Mechanics With Applications to Schrödinger Operators
G. Teschl · 2009
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Colloquium: Area laws for the entanglement entropy
J. Eisert, M. Cramer, and M. B. Plenio · 2010
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Colloquium: Area laws for the entanglement entropy
J. Eisert, M. Cramer, and M. B. Plenio · 2010
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Real-time dynamics in U(1) lattice gauge theories with tensor networks
T. Pichler, M. Dalmonte, E. Rico, P. Zoller, and S. Montangero · 2016
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Chicago Journal of Theoretical Computer Science , 22(1):1–35, 2016
C. T. Chubb and S. T. Flammia · 2016
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Real-time dynamics in U(1) lattice gauge theories with tensor networks
T. Pichler, M. Dalmonte, E. Rico, P. Zoller, and S. Montangero · 2016
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Rigorous RG algorithms and area laws for low energy eigenstates in 1D
I. Arad, Z. Landau, U. Vazirani, and T. Vidick · 2017
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Efficient basis formulation for ( 1 + 1 ) (1+1) -dimensional SU(2) lattice gauge theory: Spectral calculations with matrix product states
M. C. Bañuls, K. Cichy, J. I. Cirac, K. Jansen, and S. Kühn · 2017
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Improved one-dimensional area law for frustration-free systems
I. Arad, Z. Landau, and U. Vazirani · 2012
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Matrix analysis
R. A. Horn and C. R. Johnson · 2012
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Improved one-dimensional area law for frustration-free systems
I. Arad, Z. Landau, and U. Vazirani · 2012
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Matrix analysis
R. A. Horn and C. R. Johnson · 2012
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An area law and sub-exponential algorithm for 1D systems
I. Arad, A. Kitaev, Z. Landau, and U. Vazirani · 2013
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The mass spectrum of the Schwinger model with matrix product states
M. C. Bañuls, K. Cichy, J. I. Cirac, and K. Jansen · 2013
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Finite-density phase diagram of a ( 1 + 1 ) − d (1+1)-d non-abelian lattice gauge theory with tensor networks
P. Silvi, E. Rico, M. Dalmonte, F. Tschirsich, and S. Montangero · 2017
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Rigorous RG algorithms and area laws for low energy eigenstates in 1D
I. Arad, Z. Landau, U. Vazirani, and T. Vidick · 2017
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Efficient basis formulation for ( 1 + 1 ) (1+1) -dimensional SU(2) lattice gauge theory: Spectral calculations with matrix product states
M. C. Bañuls, K. Cichy, J. I. Cirac, K. Jansen, and S. Kühn · 2017
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Finite-density phase diagram of a ( 1 + 1 ) − d (1+1)-d non-abelian lattice gauge theory with tensor networks
P. Silvi, E. Rico, M. Dalmonte, F. Tschirsich, and S. Montangero · 2017
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The theory of quantum information
J. Watrous · 2018
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The theory of quantum information
J. Watrous · 2018
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Locality and digital quantum simulation of power-law interactions
M. C. Tran, A. Y. Guo, Y. Su, J. R. Garrison, Z. Eldredge, M. Foss-Feig, A. M. Childs, and A. V. Gorshkov · 2019
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Locality and digital quantum simulation of power-law interactions
M. C. Tran, A. Y. Guo, Y. Su, J. R. Garrison, Z. Eldredge, M. Foss-Feig, A. M. Childs, and A. V. Gorshkov · 2019
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Sharp implications of AGSPs for degenerate ground spaces
N. Abrahamsen · 2020
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Simulating lattice gauge theories within quantum technologies
M. C. Bañuls, R. Blatt, J. Catani, A. Celi, J. I. Cirac, M. Dalmonte, L. Fallani, K. Jansen, M. Lewenstein, S. Montangero, et al · 2020
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Sharp implications of AGSPs for degenerate ground spaces
N. Abrahamsen · 2020
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Simulating lattice gauge theories within quantum technologies
M. C. Bañuls, R. Blatt, J. Catani, A. Celi, J. I. Cirac, M. Dalmonte, L. Fallani, K. Jansen, M. Lewenstein, S. Montangero, et al · 2020
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An area law for 2D frustration-free spin systems
A. Anshu, I. Arad, and D. Gosset · 2021
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Improved thermal area law and quasilinear time algorithm for quantum gibbs states
T. Kuwahara, Á. M. Alhambra, and A. Anshu · 2021
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Density of states of the lattice Schwinger model
I. Papaefstathiou, D. Robaina, J. I. Cirac, and M. C. Bañuls · 2021
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Provably accurate simulation of gauge theories and bosonic systems
Y. Tong, V. V. Albert, J. R. McClean, J. Preskill, and Y. Su · 2021
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An area law for 2D frustration-free spin systems
A. Anshu, I. Arad, and D. Gosset · 2021
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Improved thermal area law and quasilinear time algorithm for quantum gibbs states
T. Kuwahara, Á. M. Alhambra, and A. Anshu · 2021
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Density of states of the lattice Schwinger model
I. Papaefstathiou, D. Robaina, J. I. Cirac, and M. C. Bañuls · 2021
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Provably accurate simulation of gauge theories and bosonic systems
Y. Tong, V. V. Albert, J. R. McClean, J. Preskill, and Y. Su · 2021
Later among the works it cites.