-
1
-
-
33645161396
-
Detecting Topological Order in a Ground State Wave Function
-
2006PhRvL.96k0405L 10.1103/PhysRevLett.96.110405 [cond-mat/0510613]
-
M. Levin and X.-G. Wen, Detecting Topological Order in a Ground State Wave Function, Phys. Rev. Lett. 96 (2006) 110405 [ cond-mat/0510613 ].
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 110405
-
-
Levin, M.1
Wen, X.-G.2
-
2
-
-
33645151438
-
Topological entanglement entropy
-
2214523 2006PhRvL.96k0404K 10.1103/PhysRevLett.96.110404 [hep-th/0510092]
-
A. Kitaev and J. Preskill, Topological entanglement entropy, Phys. Rev. Lett. 96 (2006) 110404 [ hep-th/0510092 ] [ INSPIRE ].
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 110404
-
-
Kitaev, A.1
Preskill, J.2
-
3
-
-
14644419012
-
Ground state entanglement and geometric entropy in the Kitaev model [rapid communication]
-
2120162 2005PhLA.337.22H [quant-ph/0406202]
-
A. Hamma, R. Ionicioiu and P. Zanardi, Ground state entanglement and geometric entropy in the Kitaev model [rapid communication], Phys. Lett. A 337 (2005) 22 [ quant-ph/0406202 ].
-
(2005)
Phys. Lett.
, vol.337
, pp. 22
-
-
Hamma, A.1
Ionicioiu, R.2
Zanardi, P.3
-
4
-
-
84901001853
-
Entanglement entropy and quantum field theory
-
10.1088/1742-5468/2004/06/P06002 [hep-th/0405152]
-
P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory, J. Stat. Mech. 0406 (2004) P06002 [ hep-th/0405152 ] [ INSPIRE ].
-
(2004)
J. Stat. Mech.
, vol.406
, pp. 06002
-
-
Calabrese, P.1
Cardy, J.L.2
-
5
-
-
33746345589
-
Entanglement entropy and quantum field theory: A non-technical introduction
-
DOI 10.1142/S021974990600192X, PII S021974990600192X
-
P. Calabrese and J.L. Cardy, Entanglement entropy and quantum field theory: A Non-technical introduction, Int. J. Quant. Inf. 4 (2006) 429 [ quant-ph/0505193 ] [ INSPIRE ]. (Pubitemid 44110594)
-
(2006)
International Journal of Quantum Information
, vol.4
, Issue.3
, pp. 429-438
-
-
Calabrese, P.1
Cardy, J.2
-
6
-
-
39749154770
-
Entanglement as a probe of confinement
-
2398366 2008NuPhB.796.274K 10.1016/j.nuclphysb.2007.12.017 [arXiv:0709.2140]
-
I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a probe of confinement, Nucl. Phys. B 796 (2008) 274 [ arXiv:0709.2140 ] [ INSPIRE ].
-
(2008)
Nucl. Phys.
, vol.796
, pp. 274
-
-
Klebanov, I.R.1
Kutasov, D.2
Murugan, A.3
-
7
-
-
33947705221
-
AdS Bubbles, Entropy and Closed String Tachyons
-
2285922 2007JHEP.01.090N 10.1088/1126-6708/2007/01/090 [hep-th/0611035]
-
T. Nishioka and T. Takayanagi, AdS Bubbles, Entropy and Closed String Tachyons, JHEP 01 (2007) 090 [ hep-th/0611035 ] [ INSPIRE ].
-
(2007)
JHEP
, vol.1
, pp. 090
-
-
Nishioka, T.1
Takayanagi, T.2
-
8
-
-
46749118746
-
Numerical study of entanglement entropy in SU(2) lattice gauge theory
-
2371403 2008NuPhB.802.458B 10.1016/j.nuclphysb.2008.04.024 [arXiv:0802.4247]
-
P. Buividovich and M. Polikarpov, Numerical study of entanglement entropy in SU(2) lattice gauge theory, Nucl. Phys. B 802 (2008) 458 [ arXiv:0802.4247 ] [ INSPIRE ].
-
(2008)
Nucl. Phys.
, vol.802
, pp. 458
-
-
Buividovich, P.1
Polikarpov, M.2
-
9
-
-
84884582567
-
Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures
-
[ arXiv:1104.1011 ] [ INSPIRE ]
-
Y. Nakagawa, A. Nakamura, S. Motoki and V. Zakharov, Quantum entanglement in SU(3) lattice Yang-Mills theory at zero and finite temperatures, PoS(Lattice 2010)281 [ arXiv:1104.1011 ] [ INSPIRE ].
-
PoS(Lattice 2010)
, vol.281
-
-
Nakagawa, Y.1
Nakamura, A.2
Motoki, S.3
Zakharov, V.4
-
10
-
-
4644275078
-
A Finite entanglement entropy and the c-theorem
-
2094769 2004PhLB.600.142C [hep-th/0405111]
-
H. Casini and M. Huerta, A Finite entanglement entropy and the c-theorem, Phys. Lett. B 600 (2004) 142 [ hep-th/0405111 ] [ INSPIRE ].
-
(2004)
Phys. Lett.
, vol.600
, pp. 142
-
-
Casini, H.1
Huerta, M.2
-
11
-
-
84864941787
-
Momentum-space entanglement and renormalization in quantum field theory
-
2012PhRvD.86d5014B [arXiv:1108.3568]
-
V. Balasubramanian, M.B. McDermott and M. Van Raamsdonk, Momentum-space entanglement and renormalization in quantum field theory, Phys. Rev. D 86 (2012) 045014 [ arXiv:1108.3568 ] [ INSPIRE ].
-
(2012)
Phys. Rev.
, vol.D86
, pp. 045014
-
-
Balasubramanian, V.1
McDermott, M.B.2
Van Raamsdonk, M.3
-
12
-
-
84862736645
-
On the RG running of the entanglement entropy of a circle
-
2012PhRvD.85l5016C [arXiv:1202.5650]
-
H. Casini and M. Huerta, On the RG running of the entanglement entropy of a circle, Phys. Rev. D 85 (2012) 125016 [ arXiv:1202.5650 ] [ INSPIRE ].
-
(2012)
Phys. Rev.
, vol.D85
, pp. 125016
-
-
Casini, H.1
Huerta, M.2
-
13
-
-
77956931956
-
Seeing a c-theorem with holography
-
2010PhRvD.82d6006M [arXiv:1006.1263]
-
R.C. Myers and A. Sinha, Seeing a c-theorem with holography, Phys. Rev. D 82 (2010) 046006 [ arXiv:1006.1263 ] [ INSPIRE ].
-
(2010)
Phys. Rev.
, vol.D82
, pp. 046006
-
-
Myers, R.C.1
Sinha, A.2
-
14
-
-
80053099601
-
Holographic c-theorems in arbitrary dimensions
-
2792249 2011JHEP.01.125M 10.1007/JHEP01(2011)125 [arXiv:1011.5819]
-
R.C. Myers and A. Sinha, Holographic c-theorems in arbitrary dimensions, JHEP 01 (2011) 125 [ arXiv:1011.5819 ] [ INSPIRE ].
-
(2011)
JHEP
, vol.1
, pp. 125
-
-
Myers, R.C.1
Sinha, A.2
-
15
-
-
0001742334
-
On the Entropy of the Vacuum Outside a Horizon
-
Padova, Italy, 4-9 July 1983, General Relativity and Gravitation Classical Relativity, B. Bertotti, F. de Felice and A. Pascolini eds., Consiglio Nazionale delle Ricerche, Rome, Italy
-
R.D. Sorkin, On the Entropy of the Vacuum Outside a Horizon, in proceedings of 10th Int. Conf. on General Relativity and Gravitation, Padova, Italy, 4-9 July 1983, General Relativity and Gravitation, Vol. 1, Classical Relativity, B. Bertotti, F. de Felice and A. Pascolini eds., Consiglio Nazionale delle Ricerche, Rome, Italy (1983).
-
(1983)
Proceedings of 10th Int. Conf. on General Relativity and Gravitation
, vol.1
-
-
Sorkin, R.D.1
-
16
-
-
33646028459
-
A Quantum Source of Entropy for Black Holes
-
848079 1986PhRvD.34.373B
-
L. Bombelli, R.K. Koul, J. Lee and R.D. Sorkin, A Quantum Source of Entropy for Black Holes, Phys. Rev. D 34 (1986) 373 [ INSPIRE ].
-
(1986)
Phys. Rev.
, vol.D34
, pp. 373
-
-
Bombelli, L.1
Koul, R.K.2
Lee, J.3
Sorkin, R.D.4
-
17
-
-
0039768613
-
Entropy and area
-
1228394 1993PhRvL.71.666S 0972.81649 10.1103/PhysRevLett.71.666 [hep-th/9303048]
-
M. Srednicki, Entropy and area, Phys. Rev. Lett. 71 (1993) 666 [ hep-th/9303048 ] [ INSPIRE ].
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 666
-
-
Srednicki, M.1
-
18
-
-
0001594435
-
Dynamical origin of the entropy of a black hole
-
1247895 1993PhRvD.48.4545F [gr-qc/9309001]
-
V.P. Frolov and I. Novikov, Dynamical origin of the entropy of a black hole, Phys. Rev. D 48 (1993) 4545 [ gr-qc/9309001 ] [ INSPIRE ].
-
(1993)
Phys. Rev.
, vol.D48
, pp. 4545
-
-
Frolov, V.P.1
Novikov, I.2
-
19
-
-
25744453197
-
Black hole entropy in canonical quantum gravity and superstring theory
-
1291338 1994PhRvD.50.2700S [hep-th/9401070]
-
L. Susskind and J. Uglum, Black hole entropy in canonical quantum gravity and superstring theory, Phys. Rev. D 50 (1994) 2700 [ hep-th/9401070 ] [ INSPIRE ].
-
(1994)
Phys. Rev.
, vol.D50
, pp. 2700
-
-
Susskind, L.1
Uglum, J.2
-
20
-
-
80755159188
-
Entanglement entropy of black holes
-
[arXiv:1104.3712]
-
S.N. Solodukhin, Entanglement entropy of black holes, Living Rev. Rel. 14 (2011) 8 [ arXiv:1104.3712 ] [ INSPIRE ].
-
(2011)
Living Rev. Rel.
, vol.14
, pp. 8
-
-
Solodukhin, S.N.1
-
21
-
-
84882275248
-
Black Holes: Complementarity or Firewalls?
-
2013JHEP.02.062A 10.1007/JHEP02(2013)062 [arXiv:1207.3123]
-
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, Black Holes: Complementarity or Firewalls?, JHEP 02 (2013) 062 [ arXiv:1207.3123 ] [ INSPIRE ].
-
(2013)
JHEP
, vol.2
, pp. 062
-
-
Almheiri, A.1
Marolf, D.2
Polchinski, J.3
Sully, J.4
-
22
-
-
70449706199
-
The Information paradox: A Pedagogical introduction
-
2551708 2009CQGra.26v4001M 10.1088/0264-9381/26/22/224001 [arXiv:0909.1038]
-
S.D. Mathur, The Information paradox: A Pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [ arXiv:0909.1038 ] [ INSPIRE ].
-
(2009)
Class. Quant. Grav.
, vol.26
, pp. 224001
-
-
Mathur, S.D.1
-
23
-
-
84874606300
-
Entangled black holes as ciphers of hidden information
-
2013PhRvL.110j1301B 10.1103/PhysRevLett.110.101301 [arXiv:0907.1190]
-
S.L. Braunstein, S. Pirandola and K. yczkowski, Entangled black holes as ciphers of hidden information, Physical Review Letters 110 (2013) 101301 [ arXiv:0907.1190 ] [ INSPIRE ].
-
(2013)
Physical Review Letters
, vol.110
, pp. 101301
-
-
Braunstein, S.L.1
Pirandola, S.2
Yczkowski, K.3
-
25
-
-
77956688871
-
Building up spacetime with quantum entanglement
-
2010GReGr.42.2323V 1200.83052 10.1007/s10714-010-1034-0 [arXiv:1005.3035]
-
M. Van Raamsdonk, Building up spacetime with quantum entanglement, Gen. Rel. Grav. 42 (2010) 2323 [ arXiv:1005.3035 ] [ INSPIRE ].
-
(2010)
Gen. Rel. Grav.
, vol.42
, pp. 2323
-
-
Van Raamsdonk, M.1
-
26
-
-
84864216044
-
Causal Holographic Information
-
3006851 2012JHEP.06.114H 10.1007/JHEP06(2012)114 [arXiv:1204.1698]
-
V.E. Hubeny and M. Rangamani, Causal Holographic Information, JHEP 06 (2012) 114 [ arXiv:1204.1698 ] [ INSPIRE ].
-
(2012)
JHEP
, vol.6
, pp. 114
-
-
Hubeny, V.E.1
Rangamani, M.2
-
27
-
-
84863839520
-
The Gravity Dual of a Density Matrix
-
2012CQGra.29o5009C 10.1088/0264-9381/29/15/155009 [arXiv:1204.1330]
-
B. Czech, J.L. Karczmarek, F. Nogueira and M. Van Raamsdonk, The Gravity Dual of a Density Matrix, Class. Quant. Grav. 29 (2012) 155009 [ arXiv:1204.1330 ] [ INSPIRE ].
-
(2012)
Class. Quant. Grav.
, vol.29
, pp. 155009
-
-
Czech, B.1
Karczmarek, J.L.2
Nogueira, F.3
Van Raamsdonk, M.4
-
29
-
-
33646453465
-
Holographic derivation of entanglement entropy from AdS/CFT
-
2221050 2006PhRvL.96r1602R 10.1103/PhysRevLett.96.181602 [hep-th/0603001]
-
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [ hep-th/0603001 ] [ INSPIRE ].
-
(2006)
Phys. Rev. Lett.
, vol.96
, pp. 181602
-
-
Ryu, S.1
Takayanagi, T.2
-
30
-
-
33748289532
-
Aspects of holographic entanglement entropy
-
DOI 10.1088/1126-6708/2006/08/045
-
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy, JHEP 08 (2006) 045 [ hep-th/0605073 ] [ INSPIRE ]. (Pubitemid 44330349)
-
(2006)
Journal of High Energy Physics
, vol.2006
, Issue.8
, pp. 045
-
-
Ryu, S.1
Takayanagi, T.2
-
31
-
-
75849163829
-
Holographic Entanglement Entropy: An Overview
-
2566335 [arXiv:0905.0932]
-
T. Nishioka, S. Ryu and T. Takayanagi, Holographic Entanglement Entropy: An Overview, J. Phys. A 42 (2009) 504008 [ arXiv:0905.0932 ] [ INSPIRE ].
-
(2009)
J. Phys.
, vol.42
, pp. 504008
-
-
Nishioka, T.1
Ryu, S.2
Takayanagi, T.3
-
32
-
-
84863852581
-
Entanglement Entropy from a Holographic Viewpoint
-
2960962 2012CQGra.29o3001T 10.1088/0264-9381/29/15/153001 [arXiv:1204.2450]
-
T. Takayanagi, Entanglement Entropy from a Holographic Viewpoint, Class. Quant. Grav. 29 (2012) 153001 [ arXiv:1204.2450 ] [ INSPIRE ].
-
(2012)
Class. Quant. Grav.
, vol.29
, pp. 153001
-
-
Takayanagi, T.1
-
33
-
-
78651303480
-
Entanglement Renyi entropies in holographic theories
-
2010PhRvD.82l6010H [arXiv:1006.0047]
-
M. Headrick, Entanglement Renyi entropies in holographic theories, Phys. Rev. D 82 (2010) 126010 [ arXiv:1006.0047 ] [ INSPIRE ].
-
(2010)
Phys. Rev.
, vol.D82
, pp. 126010
-
-
Headrick, M.1
-
34
-
-
80053122636
-
On Holographic Entanglement Entropy and Higher Curvature Gravity
-
2011JHEP.04.025H 10.1007/JHEP04(2011)025 [arXiv:1101.5813]
-
L.-Y. Hung, R.C. Myers and M. Smolkin, On Holographic Entanglement Entropy and Higher Curvature Gravity, JHEP 04 (2011) 025 [ arXiv:1101.5813 ] [ INSPIRE ].
-
(2011)
JHEP
, vol.4
, pp. 025
-
-
Hung, L.-Y.1
Myers, R.C.2
Smolkin, M.3
-
35
-
-
80053144636
-
Towards a derivation of holographic entanglement entropy
-
2834568 2011JHEP.05.036C 10.1007/JHEP05(2011)036 [arXiv:1102.0440]
-
H. Casini, M. Huerta and R.C. Myers, Towards a derivation of holographic entanglement entropy, JHEP 05 (2011) 036 [ arXiv:1102.0440 ] [ INSPIRE ].
-
(2011)
JHEP
, vol.5
, pp. 036
-
-
Casini, H.1
Huerta, M.2
Myers, R.C.3
-
37
-
-
0002408684
-
On measures of information and entropy
-
Uiversity of California Press, Berkeley, CA, U.S.A.
-
th Berkeley Symposium on Mathematics, Statistics and Probability, 1 (1961) 547, Uiversity of California Press, Berkeley, CA, U.S.A. [ http://digitalassets.lib.berkeley.edu/math/ucb/text/math s4 v1 article-27.pdf ].
-
(1961)
Th Berkeley Symposium on Mathematics, Statistics and Probability
, vol.1
, pp. 547
-
-
Rényi, A.1
-
38
-
-
0003145851
-
On the foundations of information theory
-
0161.16903 10.2307/1401301
-
A. Rényi, On the foundations of information theory, Rev. Int. Stat. Inst. 33 (1965) 1.
-
(1965)
Rev. Int. Stat. Inst.
, vol.33
, pp. 1
-
-
Rényi, A.1
-
39
-
-
0347585673
-
Rényi extrapolation of Shannon entropy
-
DOI 10.1023/A:1025128024427
-
K. Zyczkowski, Renyi extrapolation of Shannon entropy, Open Syst. Inf. Dyn. 10 (2003) 297 [ quant-ph/0305062 ]. (Pubitemid 39063823)
-
(2003)
Open Systems and Information Dynamics
, vol.10
, Issue.3
, pp. 297-310
-
-
Zyczkowski, K.1
-
41
-
-
53349141692
-
Entanglement spectrum in one-dimensional systems
-
2008PhRvA.78c2329C [arXiv:0806.3059]
-
P. Calabrese and A. Lefevre, Entanglement spectrum in one-dimensional systems, Phys. Rev. A 78 (2008) 032329 [ arXiv:0806.3059 ].
-
(2008)
Phys. Rev.
, vol.78
, pp. 032329
-
-
Calabrese, P.1
Lefevre, A.2
-
44
-
-
84255161654
-
Holographic Calculations of Renyi Entropy
-
2935624 2011JHEP.12.047H 10.1007/JHEP12(2011)047 [arXiv:1110.1084]
-
L.-Y. Hung, R.C. Myers, M. Smolkin and A. Yale, Holographic Calculations of Renyi Entropy, JHEP 12 (2011) 047 [ arXiv:1110.1084 ] [ INSPIRE ].
-
(2011)
JHEP
, vol.12
, pp. 047
-
-
Hung, L.-Y.1
Myers, R.C.2
Smolkin, M.3
Yale, A.4
-
45
-
-
5844266551
-
General properties of entropy
-
496300 1978RvMP.50.221W 10.1103/RevModPhys.50.221
-
A. Wehrl, General properties of entropy, Rev. Mod. Phys. 50 (1978) 221 [ INSPIRE ].
-
(1978)
Rev. Mod. Phys.
, vol.50
, pp. 221
-
-
Wehrl, A.1
-
46
-
-
0036013604
-
The role of relative entropy in quantum information theory
-
1895098 2002RvMP.74.197V 1205.81053 10.1103/RevModPhys.74.197
-
V. Vedral, The role of relative entropy in quantum information theory, Rev. Mod. Phys. 74 (2002) 197 [ INSPIRE ].
-
(2002)
Rev. Mod. Phys.
, vol.74
, pp. 197
-
-
Vedral, V.1
-
47
-
-
0003967625
-
-
Springer Berlin, Germany
-
R. Haag, Local quantum physics: Fields, particles, algebras, Texts and monographs in physics, Springer, Berlin, Germany (1992) [ INSPIRE ].
-
(1992)
Local Quantum Physics: Fields, Particles, Algebras, Texts and Monographs in Physics
-
-
Haag, R.1
-
48
-
-
46949084674
-
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
-
2008PhRvL.101a0504L 10.1103/PhysRevLett.101.010504 [arXiv:0805.0332]
-
H. Li and F.D.M. Haldane, Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States, Phys. Rev. Lett. 101 (2008) 010504 [ arXiv:0805.0332 ].
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 010504
-
-
Li, H.1
Haldane, F.D.M.2
-
49
-
-
79961064168
-
Topological phases of one-dimensional fermions: An entanglement point of view
-
2011PhRvB.83g5102T [arXiv:1008.4346]
-
A.M. Turner, F. Pollmann and E. Berg, Topological phases of one-dimensional fermions: An entanglement point of view, Phys. Rev. B 83 (2011) 075102 [ arXiv:1008.4346 ].
-
(2011)
Phys. Rev.
, vol.83
, pp. 075102
-
-
Turner, A.M.1
Pollmann, F.2
Berg, E.3
-
50
-
-
77950440453
-
Entanglement Spectrum of Topological Insulators and Superconductors
-
2010PhRvL.104m0502F 10.1103/PhysRevLett.104.130502 [arXiv:0909.2654]
-
L. Fidkowski, Entanglement Spectrum of Topological Insulators and Superconductors, Phys. Rev. Lett. 104 (2010) 130502 [ arXiv:0909.2654 ].
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 130502
-
-
Fidkowski, L.1
-
51
-
-
77955672348
-
Entanglement Entropy and Entanglement Spectrum of the Kitaev Model
-
2010PhRvL.105h0501Y 10.1103/PhysRevLett.105.080501 [arXiv:1001.1165]
-
H. Yao and X.-L. Qi, Entanglement Entropy and Entanglement Spectrum of the Kitaev Model, Phys. Rev. Lett. 105 (2010) 080501 [ arXiv:1001.1165 ].
-
(2010)
Phys. Rev. Lett.
, vol.105
, pp. 080501
-
-
Yao, H.1
Qi, X.-L.2
-
52
-
-
36749105380
-
On the Duality Condition for Quantum Fields
-
438944 1976JMP.17.303B 10.1063/1.522898
-
J. Bisognano and E. Wichmann, On the Duality Condition for Quantum Fields, J. Math. Phys. 17 (1976) 303 [ INSPIRE ].
-
(1976)
J. Math. Phys.
, vol.17
, pp. 303
-
-
Bisognano, J.1
Wichmann, E.2
-
53
-
-
36749106982
-
On the Duality Condition for a Hermitian Scalar Field
-
438943 1975JMP.16.985B 0316.46062 10.1063/1.522605
-
J. Bisognano and E. Wichmann, On the Duality Condition for a Hermitian Scalar Field, J. Math. Phys. 16 (1975) 985 [ INSPIRE ].
-
(1975)
J. Math. Phys.
, vol.16
, pp. 985
-
-
Bisognano, J.1
Wichmann, E.2
-
54
-
-
0000502656
-
Notes on black hole evaporation
-
1976PhRvD.14.870U
-
W. Unruh, Notes on black hole evaporation, Phys. Rev. D 14 (1976) 870 [ INSPIRE ].
-
(1976)
Phys. Rev.
, vol.D14
, pp. 870
-
-
Unruh, W.1
-
55
-
-
0002509384
-
Modular structure of the local algebras associated with the free massless scalar field theory
-
660540 1982CMaPh.84.71H 0491.46060 10.1007/BF01208372
-
P.D. Hislop and R. Longo, Modular structure of the local algebras associated with the free massless scalar field theory, Commun. Math. Phys. 84 (1982) 71 [ INSPIRE ].
-
(1982)
Commun. Math. Phys.
, vol.84
, pp. 71
-
-
Hislop, P.D.1
Longo, R.2
-
56
-
-
0033479285
-
Modular groups of quantum fields in thermal states
-
1674246 1999JMP.40.601B 1059.81114 10.1063/1.532678 [math-ph/9805013]
-
H. Borchers and J. Yngvason, Modular groups of quantum fields in thermal states, J. Math. Phys. 40 (1999) 601 [ math-ph/9805013 ] [ INSPIRE ].
-
(1999)
J. Math. Phys.
, vol.40
, pp. 601
-
-
Borchers, H.1
Yngvason, J.2
-
57
-
-
0035610907
-
Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence
-
2001CMaPh.217.595D 0984.83043 10.1007/s002200100381 [hep-th/0002230]
-
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [ hep-th/0002230 ] [ INSPIRE ].
-
(2001)
Commun. Math. Phys.
, vol.217
, pp. 595
-
-
De Haro, S.1
Solodukhin, S.N.2
Skenderis, K.3
-
58
-
-
0036433610
-
Lecture notes on holographic renormalization
-
DOI 10.1088/0264-9381/19/22/306, PII S026493810253803X
-
K. Skenderis, Lecture notes on holographic renormalization, Class. Quant. Grav. 19 (2002) 5849 [ hep-th/0209067 ] [ INSPIRE ]. (Pubitemid 37028712)
-
(2002)
Classical and Quantum Gravity
, vol.19
, Issue.22
, pp. 5849-5876
-
-
Skenderis, K.1
-
59
-
-
17044397631
-
Stress tensors and Casimir energies in the AdS/CFT correspondence
-
1999PhRvD.60d6002M [hep-th/9903203]
-
R.C. Myers, Stress tensors and Casimir energies in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 046002 [ hep-th/9903203 ] [ INSPIRE ].
-
(1999)
Phys. Rev.
, vol.D60
, pp. 046002
-
-
Myers, R.C.1
-
60
-
-
84879655880
-
Holographic Mutual Information at Finite Temperature
-
2013PhRvD.87l6012F [arXiv:1212.4764]
-
W. Fischler, A. Kundu and S. Kundu, Holographic Mutual Information at Finite Temperature, Phys. Rev. D 87 (2013) 126012 [ arXiv:1212.4764 ] [ INSPIRE ].
-
(2013)
Phys. Rev.
, vol.D87
, pp. 126012
-
-
Fischler, W.1
Kundu, A.2
Kundu, S.3
-
61
-
-
84874509598
-
Thermodynamical Property of Entanglement Entropy for Excited States
-
2013PhRvL.110i1602B 10.1103/PhysRevLett.110.091602 [arXiv:1212.1164]
-
J. Bhattacharya, M. Nozaki, T. Takayanagi and T. Ugajin, Thermodynamical Property of Entanglement Entropy for Excited States, Phys. Rev. Lett. 110 (2013) 091602 [ arXiv:1212.1164 ] [ INSPIRE ].
-
(2013)
Phys. Rev. Lett.
, vol.110
, pp. 091602
-
-
Bhattacharya, J.1
Nozaki, M.2
Takayanagi, T.3
Ugajin, T.4
-
62
-
-
34547674909
-
A Covariant holographic entanglement entropy proposal
-
2326725 2007JHEP.07.062H 10.1088/1126-6708/2007/07/062 [arXiv:0705.0016]
-
V.E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal, JHEP 07 (2007) 062 [ arXiv:0705.0016 ] [ INSPIRE ].
-
(2007)
JHEP
, vol.7
, pp. 062
-
-
Hubeny, V.E.1
Rangamani, M.2
Takayanagi, T.3
-
63
-
-
70350001614
-
Holographic Hydrodynamics with a Chemical Potential
-
2534749 2009JHEP.06.006M 10.1088/1126-6708/2009/06/006 [arXiv:0903.2834]
-
R.C. Myers, M.F. Paulos and A. Sinha, Holographic Hydrodynamics with a Chemical Potential, JHEP 06 (2009) 006 [ arXiv:0903.2834 ] [ INSPIRE ].
-
(2009)
JHEP
, vol.6
, pp. 006
-
-
Myers, R.C.1
Paulos, M.F.2
Sinha, A.3
-
64
-
-
0002406575
-
Conformal Invariants, in lie Cartan et les Mathématiques d'aujourd hui
-
C. Fefferman and C. R. Graham, Conformal Invariants, in lie Cartan et les Mathématiques d'aujourd hui, Astérisque (1985), pg. 95.
-
(1985)
Astérisque
, pp. 95
-
-
Fefferman, C.1
Graham, C.R.2
-
66
-
-
0034731742
-
On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence
-
1747194 2000IJMPA.15.413N [hep-th/9903033]
-
S. Nojiri and S.D. Odintsov, On the conformal anomaly from higher derivative gravity in AdS/CFT correspondence, Int. J. Mod. Phys. A 15 (2000) 413 [ hep-th/9903033 ] [ INSPIRE ].
-
(2000)
Int. J. Mod. Phys.
, vol.15
, pp. 413
-
-
Nojiri, S.1
Odintsov, S.D.2
-
67
-
-
0347164882
-
Large-N field theories, string theory and gravity
-
1743597 2000PhR.323.183A 10.1016/S0370-1573(99)00083-6 [hep-th/9905111]
-
O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [ hep-th/9905111 ] [ INSPIRE ].
-
(2000)
Phys. Rept.
, vol.323
, pp. 183
-
-
Aharony, O.1
Gubser, S.S.2
Maldacena, J.M.3
Ooguri, H.4
Oz, Y.5
-
68
-
-
44649112951
-
Entanglement Entropy, Trace Anomalies and Holography
-
2431523 2008NuPhB.801.1S 10.1016/j.nuclphysb.2008.04.015 [arXiv:0802.1017]
-
A. Schwimmer and S. Theisen, Entanglement Entropy, Trace Anomalies and Holography, Nucl. Phys. B 801 (2008) 1 [ arXiv:0802.1017 ] [ INSPIRE ].
-
(2008)
Nucl. Phys.
, vol.801
, pp. 1
-
-
Schwimmer, A.1
Theisen, S.2
-
69
-
-
80053155786
-
Some Calculable Contributions to Holographic Entanglement Entropy
-
2011JHEP.08.039H 10.1007/JHEP08(2011)039 [arXiv:1105.6055]
-
L.-Y. Hung, R.C. Myers and M. Smolkin, Some Calculable Contributions to Holographic Entanglement Entropy, JHEP 08 (2011) 039 [ arXiv:1105.6055 ] [ INSPIRE ].
-
(2011)
JHEP
, vol.8
, pp. 039
-
-
Hung, L.-Y.1
Myers, R.C.2
Smolkin, M.3
-
70
-
-
0001398576
-
The Black hole in three-dimensional space-time
-
1181663 1992PhRvL.69.1849B 0968.83514 10.1103/PhysRevLett.69.1849 [hep-th/9204099]
-
M. Bañados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time, Phys. Rev. Lett. 69 (1992) 1849 [ hep-th/9204099 ] [ INSPIRE ].
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 1849
-
-
Bañados, M.1
Teitelboim, C.2
Zanelli, J.3
-
71
-
-
33645921615
-
Thermodynamics of Black Holes in anti-de Sitter Space
-
691045 1982CMaPh.87.577H 10.1007/BF01208266
-
S. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-de Sitter Space, Commun. Math. Phys. 87 (1983) 577 [ INSPIRE ].
-
(1983)
Commun. Math. Phys.
, vol.87
, pp. 577
-
-
Hawking, S.1
Page, D.N.2
-
72
-
-
0000722850
-
Anti-de Sitter space, thermal phase transition and confinement in gauge theories
-
1646895 1057.81550 [hep-th/9803131]
-
E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [ hep-th/9803131 ] [ INSPIRE ].
-
(1998)
Adv. Theor. Math. Phys.
, vol.2
, pp. 505
-
-
Witten, E.1
-
73
-
-
2442560099
-
Universality of Entropy Scaling in One Dimensional Gapless Models
-
2004PhRvL.92i6402K 10.1103/PhysRevLett.92.096402 [cond-mat/0311056]
-
V.E. Korepin, Universality of Entropy Scaling in One Dimensional Gapless Models, Phys. Rev. Lett. 92 (2004) 096402 [ cond-mat/0311056 ].
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 096402
-
-
Korepin, V.E.1
-
74
-
-
2442674839
-
Geometric and renormalized entropy in conformal field theory
-
1290933 1994NuPhB.424.443H 10.1016/0550-3213(94)90402-2 [hep-th/9403108]
-
C. Holzhey, F. Larsen and F. Wilczek, Geometric and renormalized entropy in conformal field theory, Nucl. Phys. B 424 (1994) 443 [ hep-th/9403108 ] [ INSPIRE ].
-
(1994)
Nucl. Phys.
, vol.424
, pp. 443
-
-
Holzhey, C.1
Larsen, F.2
Wilczek, F.3
-
76
-
-
0007039063
-
3 black holes and a stringy exclusion principle
-
1671947 1998JHEP.12.005M 10.1088/1126-6708/1998/12/005 [hep-th/9804085]
-
3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [ hep-th/9804085 ] [ INSPIRE ].
-
(1998)
JHEP
, vol.12
, pp. 005
-
-
Maldacena, J.M.1
Strominger, A.2
-
77
-
-
79551490570
-
Curvature singularities: The Good, the bad and the naked
-
1838723 0984.83036 [hep-th/0002160]
-
S.S. Gubser, Curvature singularities: The Good, the bad and the naked, Adv. Theor. Math. Phys. 4 (2000) 679 [ hep-th/0002160 ] [ INSPIRE ].
-
(2000)
Adv. Theor. Math. Phys.
, vol.4
, pp. 679
-
-
Gubser, S.S.1
-
78
-
-
33744737287
-
Superstars and giant gravitons
-
1878507 2001JHEP.11.009M 10.1088/1126-6708/2001/11/009 [hep-th/0109127]
-
R.C. Myers and O. Tafjord, Superstars and giant gravitons, JHEP 11 (2001) 009 [ hep-th/0109127 ] [ INSPIRE ].
-
(2001)
JHEP
, vol.11
, pp. 009
-
-
Myers, R.C.1
Tafjord, O.2
-
81
-
-
0012694150
-
Reeh-Schlieder defeats Newton-Wigner: On alternative localization schemes in relativistic quantum field theory
-
DOI 10.1086/392869
-
H. Halvorson, Reeh-Schlieder defeats Newton-Wigner: On alternative localization schemes in relativistic quantum field theory, Phil. Sci. 68 (2001) 111 [ quant-ph/0007060 ] [ INSPIRE ]. (Pubitemid 33627282)
-
(2001)
Philosophy of Science
, vol.68
, Issue.1
, pp. 111-133
-
-
Halvorson, H.1
-
83
-
-
85011351396
-
On four point functions in the CFT/AdS correspondence
-
1699312 1999PhRvD.59h6002L [hep-th/9807097]
-
H. Liu and A.A. Tseytlin, On four point functions in the CFT/AdS correspondence, Phys. Rev. D 59 (1999) 086002 [ hep-th/9807097 ] [ INSPIRE ].
-
(1999)
Phys. Rev.
, vol.D59
, pp. 086002
-
-
Liu, H.1
Tseytlin, A.A.2
-
85
-
-
33750708757
-
A Universal Upper Bound on the Entropy to Energy Ratio for Bounded Systems
-
599893 1981PhRvD.23.287B
-
J.D. Bekenstein, A Universal Upper Bound on the Entropy to Energy Ratio for Bounded Systems, Phys. Rev. D 23 (1981) 287 [ INSPIRE ].
-
(1981)
Phys. Rev.
, vol.D23
, pp. 287
-
-
Bekenstein, J.D.1
-
86
-
-
4244058578
-
Generalized second law of thermodynamics in black hole physics
-
1974PhRvD.9.3292B
-
J.D. Bekenstein, Generalized second law of thermodynamics in black hole physics, Phys. Rev. D 9 (1974) 3292 [ INSPIRE ].
-
(1974)
Phys. Rev.
, vol.D9
, pp. 3292
-
-
Bekenstein, J.D.1
-
87
-
-
56449105113
-
Relative entropy and the Bekenstein bound
-
2447829 2008CQGra.25t5021C 10.1088/0264-9381/25/20/205021 [arXiv:0804.2182]
-
H. Casini, Relative entropy and the Bekenstein bound, Class. Quant. Grav. 25 (2008) 205021 [ arXiv:0804.2182 ] [ INSPIRE ].
-
(2008)
Class. Quant. Grav.
, vol.25
, pp. 205021
-
-
Casini, H.1
-
88
-
-
2342436763
-
Notes on space-time thermodynamics and the observer dependence of entropy
-
2093123 2004PhRvD.69f4006M [hep-th/0310022]
-
D. Marolf, D. Minic and S.F. Ross, Notes on space-time thermodynamics and the observer dependence of entropy, Phys. Rev. D 69 (2004) 064006 [ hep-th/0310022 ] [ INSPIRE ].
-
(2004)
Phys. Rev.
, vol.D69
, pp. 064006
-
-
Marolf, D.1
Minic, D.2
Ross, S.F.3
-
90
-
-
0038059097
-
Light sheets and Bekenstein's bound
-
1976201 2003PhRvL.90l1302B 10.1103/PhysRevLett.90.121302 [hep-th/0210295]
-
R. Bousso, Light sheets and Bekenstein's bound, Phys. Rev. Lett. 90 (2003) 121302 [ hep-th/0210295 ] [ INSPIRE ].
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 121302
-
-
Bousso, R.1
-
93
-
-
84878845063
-
Holographic Local Quenches and Entanglement Density
-
2013JHEP.05.080N 10.1007/JHEP05(2013)080 [arXiv:1302.5703]
-
M. Nozaki, T. Numasawa and T. Takayanagi, Holographic Local Quenches and Entanglement Density, JHEP 05 (2013) 080 [ arXiv:1302.5703 ] [ INSPIRE ].
-
(2013)
JHEP
, vol.5
, pp. 080
-
-
Nozaki, M.1
Numasawa, T.2
Takayanagi, T.3
-
96
-
-
84921827488
-
-
Oxford University Press New York, U.S.A. 1146.81003 10.1093/acprof:oso/ 9780199215706.001.0001
-
V. Vedral, Introduction to quantum information science, Oxford University Press, New York, U.S.A. (2006).
-
(2006)
Introduction to Quantum Information Science
-
-
Vedral, V.1
-
97
-
-
0344925102
-
Diamond's temperature: Unruh effect for bounded trajectories and thermal time hypothesis
-
DOI 10.1088/0264-9381/20/22/015, PII S0264938103607033
-
P. Martinetti and C. Rovelli, Diamonds's temperature: Unruh effect for bounded trajectories and thermal time hypothesis, Class. Quant. Grav. 20 (2003) 4919 [ gr-qc/0212074 ] [ INSPIRE ]. (Pubitemid 37470050)
-
(2003)
Classical and Quantum Gravity
, vol.20
, Issue.22
, pp. 4919-4931
-
-
Martinetti, P.1
Rovelli, C.2
-
98
-
-
16644377242
-
Bulk versus boundary dynamics in anti-de Sitter space-time
-
1683985 1999PhRvD.59d6003B [hep-th/9805171]
-
V. Balasubramanian, P. Kraus and A.E. Lawrence, Bulk versus boundary dynamics in anti-de Sitter space-time, Phys. Rev. D 59 (1999) 046003 [ hep-th/9805171 ] [ INSPIRE ].
-
(1999)
Phys. Rev.
, vol.D59
, pp. 046003
-
-
Balasubramanian, V.1
Kraus, P.2
Lawrence, A.E.3
-
99
-
-
36348963532
-
A Holographic proof of the strong subadditivity of entanglement entropy
-
2379595 2007PhRvD.76j6013H [arXiv:0704.3719]
-
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy, Phys. Rev. D 76 (2007) 106013 [ arXiv:0704.3719 ] [ INSPIRE ].
-
(2007)
Phys. Rev.
, vol.D76
, pp. 106013
-
-
Headrick, M.1
Takayanagi, T.2
-
102
-
-
0000996798
-
Toward a Proof of Entropy Increase in the Presence of Quantum Black Holes
-
839628 1986PhRvL.56.1885S 10.1103/PhysRevLett.56.1885
-
R.D. Sorkin, Toward a Proof of Entropy Increase in the Presence of Quantum Black Holes, Phys. Rev. Lett. 56 (1986) 1885.
-
(1986)
Phys. Rev. Lett.
, vol.56
, pp. 1885
-
-
Sorkin, R.D.1
-
104
-
-
84861676243
-
A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices
-
2012PhRvD.85j4049W [arXiv:1105.3445]
-
A.C. Wall, A proof of the generalized second law for rapidly changing fields and arbitrary horizon slices, Phys. Rev. D 85 (2012) 104049 [ arXiv:1105.3445 ] [ INSPIRE ].
-
(2012)
Phys. Rev.
, vol.D85
, pp. 104049
-
-
Wall, A.C.1
-
105
-
-
78651339127
-
A Proof of the generalized second law for rapidly-evolving Rindler horizons
-
2010PhRvD.82l4019W [arXiv:1007.1493]
-
A.C. Wall, A Proof of the generalized second law for rapidly-evolving Rindler horizons, Phys. Rev. D 82 (2010) 124019 [ arXiv:1007.1493 ] [ INSPIRE ].
-
(2010)
Phys. Rev.
, vol.D82
, pp. 124019
-
-
Wall, A.C.1
-
106
-
-
18144426423
-
Comment on entropy bounds and the generalized second law
-
1757614 1999PhRvD.60j4009P [gr-qc/9901032]
-
M. Pelath and R.M. Wald, Comment on entropy bounds and the generalized second law, Phys. Rev. D 60 (1999) 104009 [ gr-qc/9901032 ] [ INSPIRE ].
-
(1999)
Phys. Rev.
, vol.D60
, pp. 104009
-
-
Pelath, M.1
Wald, R.M.2
-
107
-
-
1342345404
-
On the status of highly entropic objects
-
2004PhRvD.69b4014M [hep-th/0309218]
-
D. Marolf and R.D. Sorkin, On the status of highly entropic objects, Phys. Rev. D 69 (2004) 024014 [ hep-th/0309218 ] [ INSPIRE ].
-
(2004)
Phys. Rev.
, vol.D69
, pp. 024014
-
-
Marolf, D.1
Sorkin, R.D.2
-
108
-
-
33646061571
-
Comment on a universal upper bound on the entropy to energy ratio for bounded systems
-
668656 1982PhRvD.26.947P
-
D.N. Page, Comment on a universal upper bound on the entropy to energy ratio for bounded systems, Phys. Rev. D 26 (1982) 947 [ INSPIRE ].
-
(1982)
Phys. Rev.
, vol.D26
, pp. 947
-
-
Page, D.N.1
-
109
-
-
33646072397
-
Acceleration Radiation and Generalized Second Law of Thermodynamics
-
1982PhRvD.25.942U
-
W. Unruh and R.M. Wald, Acceleration Radiation and Generalized Second Law of Thermodynamics, Phys. Rev. D 25 (1982) 942 [ INSPIRE ].
-
(1982)
Phys. Rev.
, vol.D25
, pp. 942
-
-
Unruh, W.1
Wald, R.M.2
|