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Gapped Quantum Systems and Entanglement Area Law
Quantum Information Meets Quantum Matter - Quantum Science and Technology
◽
10.1007/978-1-4939-9084-9_5
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2019
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pp. 115-153
Author(s):
Bei Zeng
◽
Xie Chen
◽
Duan-Lu Zhou
◽
Xiao-Gang Wen
Keyword(s):
Quantum Systems
◽
Area Law
◽
Entanglement Area
Download Full-text
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References
Entanglement area law in superfluid 4He
Nature Physics
◽
10.1038/nphys4075
◽
2017
◽
Vol 13
(6)
◽
pp. 556-558
◽
Cited By ~ 15
Author(s):
C. M. Herdman
◽
P.-N. Roy
◽
R. G. Melko
◽
A. Del Maestro
Keyword(s):
Superfluid 4He
◽
Area Law
◽
Entanglement Area
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Nonadditive entropy reconciles the area law in quantum systems with classical thermodynamics
Physical Review E
◽
10.1103/physreve.78.021102
◽
2008
◽
Vol 78
(2)
◽
Cited By ~ 89
Author(s):
Filippo Caruso
◽
Constantino Tsallis
Keyword(s):
Quantum Systems
◽
Nonadditive Entropy
◽
Classical Thermodynamics
◽
Area Law
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Violation of the Entanglement Area Law in Bosonic Systems with Bose Surfaces: Possible Application to Bose Metals
Physical Review Letters
◽
10.1103/physrevlett.111.210402
◽
2013
◽
Vol 111
(21)
◽
Cited By ~ 27
Author(s):
Hsin-Hua Lai
◽
Kun Yang
◽
N. E. Bonesteel
Keyword(s):
Area Law
◽
Entanglement Area
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Entanglement area law from specific heat capacity
Physical Review B
◽
10.1103/physrevb.92.115134
◽
2015
◽
Vol 92
(11)
◽
Cited By ~ 9
Author(s):
Fernando G. S. L. Brandão
◽
Marcus Cramer
Keyword(s):
Heat Capacity
◽
Specific Heat
◽
Specific Heat Capacity
◽
Area Law
◽
Entanglement Area
Download Full-text
Entanglement area law for shallow and deep quantum neural network states
New Journal of Physics
◽
10.1088/1367-2630/ab8262
◽
2020
◽
Vol 22
(5)
◽
pp. 053022
Author(s):
Zhih-Ahn Jia
◽
Lu Wei
◽
Yu-Chun Wu
◽
Guang-Can Guo
◽
Guo-Ping Guo
Keyword(s):
Neural Network
◽
Quantum Neural Network
◽
Network States
◽
Area Law
◽
Entanglement Area
Download Full-text
Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law
Physical Review B
◽
10.1103/physrevb.80.235127
◽
2009
◽
Vol 80
(23)
◽
Cited By ~ 138
Author(s):
L. Tagliacozzo
◽
G. Evenbly
◽
G. Vidal
Keyword(s):
Quantum Systems
◽
Two Dimensional
◽
Tensor Network
◽
Area Law
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Entanglement-area law for general bosonic harmonic lattice systems
Physical Review A
◽
10.1103/physreva.73.012309
◽
2006
◽
Vol 73
(1)
◽
Cited By ~ 136
Author(s):
M. Cramer
◽
J. Eisert
◽
M. B. Plenio
◽
J. Dreißig
Keyword(s):
Lattice Systems
◽
Area Law
◽
Entanglement Area
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Maximally entangled mode, metal-insulator transition, and violation of entanglement area law in noninteracting fermion ground states
Physical Review B
◽
10.1103/physrevb.89.115104
◽
2014
◽
Vol 89
(11)
◽
Cited By ~ 20
Author(s):
Mohammad Pouranvari
◽
Kun Yang
Keyword(s):
Ground States
◽
Insulator Transition
◽
Metal Insulator Transition
◽
Metal Insulator
◽
Area Law
◽
Entanglement Area
Download Full-text
Area law for fixed points of rapidly mixing dissipative quantum systems
Journal of Mathematical Physics
◽
10.1063/1.4932612
◽
2015
◽
Vol 56
(10)
◽
pp. 102202
◽
Cited By ~ 8
Author(s):
Fernando G. S. L. Brandão
◽
Toby S. Cubitt
◽
Angelo Lucia
◽
Spyridon Michalakis
◽
David Perez-Garcia
Keyword(s):
Fixed Points
◽
Quantum Systems
◽
Dissipative Quantum Systems
◽
Area Law
Download Full-text
An area law for one-dimensional quantum systems
Journal of Statistical Mechanics Theory and Experiment
◽
10.1088/1742-5468/2007/08/p08024
◽
2007
◽
Vol 2007
(08)
◽
pp. P08024-P08024
◽
Cited By ~ 367
Author(s):
M B Hastings
Keyword(s):
Quantum Systems
◽
One Dimensional
◽
Area Law
Download Full-text
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