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2021

Holographic entanglement negativity and replica symmetry breaking

Dong, Xi, Qi, Xiao-Liang, Walter, Michael

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Since the work of Ryu and Takayanagi, deep connections between quantum entanglement and spacetime geometry have been revealed.

The negative eigenvalues of the partial transpose of a bipartite density operator is a useful diagnostic of entanglement.
In this paper, we discuss the properties of the associated entanglement negativity and its R\'enyi generalizations in holographic duality.
We first review the definition of the R\'enyi negativities, which contain the familiar logarithmic negativity as a special case.

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S. Dutta and T. Faulkner, A canonical purification for the entanglement wedge cross-section , 1905.00577
Original
1905
Earlier work this paper cites.
J. Kudler-Flam, M. Nozaki, S. Ryu and M. T. Tan, Quantum vs. classical information: operator negativity as a probe of scrambling , JHEP 01
Original
1906
Earlier work this paper cites.
Y. Kusuki and K. Tamaoka, Dynamics of Entanglement Wedge Cross Section from Conformal Field Theories , 1907.06646
Original
1907
Earlier work this paper cites.
Y. Kusuki, J. Kudler-Flam and S. Ryu, Derivation of Holographic Negativity in AdS 3 /CFT 2 , Phys. Rev. Lett. 123
Original
1907
Earlier work this paper cites.
X. Dong and D. Marolf, One-loop universality of holographic codes , JHEP 03
Original
1910
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford and Z. Yang, Replica wormholes and the black hole interior , 1911.11977
Original
1911
Earlier work this paper cites.
V. Kupershtokh, A generalization of the Ford-Fulkerson theorem to multipole networks , Cybernetics 7
1971
Earlier work this paper cites.
L. Lovász, On some connectivity properties of eulerian graphs , Acta Math. Hung. 28
1976
Earlier work this paper cites.
B. Cherkasski, A solution of a problem of multicommodity flows in a network , Ekon. Matemat. Met. 13
1977
Earlier work this paper cites.
A. Peres, Separability criterion for density matrices , Physical Review Letters 77
1996
Earlier work this paper cites.
E. Witten, Anti de Sitter space and holography , Adv. Theo. Math. Phys. 2
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.
J. Maldacena, The large- N N limit of superconformal field theories and supergravity , Int. J. Theo. Phys. 38
1999
Earlier work this paper cites.
J. Kumar Basak, H. Parihar, B. Paul and G. Sengupta, Holographic entanglement negativity for disjoint subsystems in AdS d + 1 / CFT d \mathrm{AdS_{d+1}/CFT_{d}} , 2001.10534
Original
2001
Earlier work this paper cites.
G. Vidal and R. F. Werner, Computable measure of entanglement , Phys. Rev. A 65
2002
Earlier work this paper cites.
J. Kumar Basak, V. Malvimat, H. Parihar, B. Paul and G. Sengupta, On minimal entanglement wedge cross section for holographic entanglement negativity , 2002.10272
Original
2002
Earlier work this paper cites.
K. Audenaert, M. Plenio and J. Eisert, Entanglement cost under positive-partial-transpose-preserving operations , Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
F. Verstraete and J. I. Cirac, Valence-bond states for quantum computation , Physical Review A 70
2004
Earlier work this paper cites.
M. B. Plenio, Logarithmic negativity: a full entanglement monotone that is not convex , Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from the anti-de Sitter Space/Conformal Field Theory Correspondence , Physical Review Letters 96
2006
Earlier work this paper cites.
D. Marolf, S. Wang and Z. Wang, Probing phase transitions of holographic entanglement entropy with fixed area states , 2006.10089
Original
2006
Earlier work this paper cites.
X. Dong and H. Wang, Enhanced corrections near holographic entanglement transitions: a chaotic case study , JHEP 11
Original
2006
Earlier work this paper cites.

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2015
Later among the works it cites.
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Later among the works it cites.
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