Built on

L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
R. W. Yeung, ”A new outlook on Shannon’s information measures, IEEE Transactions on Information Theory“ 37 (1991), no. 3 466–474
1991
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, “On geometric entropy,” Phys. Lett. B 333
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, ”Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, ”Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. Vidal, J. I. Latorre, E. Rico and A. Kitaev, “Entanglement in quantum critical phenomena,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
V. E. Hubeny and M. Rangamani, “Holographic entanglement entropy for disconnected regions,” JHEP 0803
Original
2008
Earlier work this paper cites.

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H. Liu and S. J. Suh, “Entanglement Tsunami: Universal Scaling in Holographic Thermalization,” Phys. Rev. Lett. 112
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2016

On the Monogamy of Holographic $n$-partite Information

Mirabi, S., Tanhayi, M. Reza, Vazirian, R.

Understand

We investigate the monogamy of holographic $n$-partite information for a system consisting of $n$ disjoint parallel strips with the same width and separation in AdS and AdS black brane geometries.

More precisely, we study the sign of this quantity, \emph{e.g.} for $n=4, 5$, in various dimensions and for different parameters.
Our results show that for quantum field theories with holographic duals, the holographic 4-partite information is always positive and the sign of holographic 5-partite information is found to be negative in the dual strongly coupled $1+1$ dimensional CFT.
This latter result indicates that the holographic 4-partite information is monogamous.

Built on

L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
R. W. Yeung, ”A new outlook on Shannon’s information measures, IEEE Transactions on Information Theory“ 37 (1991), no. 3 466–474
1991
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
C. G. Callan, Jr. and F. Wilczek, “On geometric entropy,” Phys. Lett. B 333
1994
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, ”Gauge theory correlators from non-critical string theory,” Phys. Lett. B 428
1998
Earlier work this paper cites.
E. Witten, ”Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
G. Vidal, J. I. Latorre, E. Rico and A. Kitaev, “Entanglement in quantum critical phenomena,” Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Entanglement entropy and quantum field theory,” J. Stat. Mech. 0406
2004
Earlier work this paper cites.
A. Kitaev and J. Preskill, “Topological entanglement entropy,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
V. E. Hubeny and M. Rangamani, “Holographic entanglement entropy for disconnected regions,” JHEP 0803
Original
2008
Earlier work this paper cites.