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Strong Subadditivity of Quantum Entropy
Strong subadditivity of entropy (SSA) was long known and appreciated in classical probability theory andinformation theory.Its extension to quantum…
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Related topics
Related topics
11 relations
Conditional entropy
Density matrix
Entanglement-assisted classical capacity
Hilbert space
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Broader (1)
Quantum mechanics
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Locality of Entanglement Spectrum and Edge States from Strong Subadditivity
Kohtaro Kato
,
F. Brandão
2019
Corpus ID: 157063439
We consider two-dimensional states of matter satisfying an uniform area law for entanglement. We show that the topological…
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2018
2018
Bulk matter and the boundary quantum null energy condition
Zuhair U. Khandker
,
S. Kundu
,
Daliang Li
Journal of High Energy Physics
2018
Corpus ID: 73690306
We investigate the quantum null energy condition (QNEC) in holographic CFTs, focusing on half-spaces and particular classes of…
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2017
2017
The strong subadditivity of holographic entanglement entropy ; from boundary to bulk
A. Rad
2017
Corpus ID: 67833180
One decade ago, Ryu-Takayanagi explicitly introduced a formula that relates the entropy of a subregion in CFT system to a…
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2014
2014
Inequalities for Sums of Joint Entropy Based on the Strong Subadditivity (Mathematics for Uncertainty and Fuzziness : RIMS研究集会報告集)
岸 祐太
,
落海 望
,
柳田 昌宏
2014
Corpus ID: 116890061
Highly Cited
2013
Highly Cited
2013
The quantum strong subadditivity condition for systems without subsystems
M. Man'ko
,
V. Man'ko
2013
Corpus ID: 118849178
The strong subadditivity condition for the density matrix of a quantum system, which does not contain subsystems, is derived…
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2008
2008
Comment on “ Stronger subadditivity of entropy ” by Lieb and Seiringer Phys . Rev . A 71 , 062329 ( 2005 )
M. Ruskai
2008
Corpus ID: 18509072
We show how recent results of Lieb and Seiringer can be obtained from repeated use of the monotonicity of relative entropy under…
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2004
2004
Entropy inequalities for CAR systems (around the strong subadditivity)
H. Moriya
2004
Corpus ID: 15403191
Basic properties of von Neumann entropy around the strong subadditivity (SSA) are studied for the CAR systems. An entropy…
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2002
2002
Subadditivity of Entropy for Stochastic Matrices
Wojciech Słomczyński
Open systems & information dynamics
2002
Corpus ID: 15495712
The entropy of irreducible stochastic matrix measures its mixing properties. We show that this quantity is subadditive and…
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1998
1998
STRONG SUBADDITIVITY PROPERTY OF ENTROPY IN FERMION SYSTEMS(Recent Trends in Infinite Dimensional Non-Commutative Analysis)
H. Moriya
1998
Corpus ID: 117002807
1977
1977
On Capacities and Gamonic Functionals 料
A. Murakami
1977
Corpus ID: 56109700
Let 1 be a positive capacity on a mξtrizable compact space. If 1 is strongly subadditive , then there exists a vaguely compact…
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