Fetching the paper…

Reading the bibliography…

2015

Tripartite information of highly entangled states

Rota, Massimiliano

Original
PDF
Post on X

Understand

Holographic systems require monogamous mutual information for validity of semiclassical geometry.

This is encoded by the sign of the tripartite information ($I3$).
We investigate the behaviour of $I3$ for all partitionings of systems in states which are highly entangled in a multipartite or bipartite sense.
In the case of multipartite entanglement we propose an algorithmic construction that we conjecture can be used to build local maxima of $I3$ for any partitioning.

Tripartite information of highly entangled states · Around

Built on

D. N. Page, Average entropy of a subsystem
1993
Earlier work this paper cites.
D. Gottesman, Stabilizer codes and quantum error correction
1997
Earlier work this paper cites.
J. L. Lebowitz, Statistical mechanics: A selective review of two central issues
1999
Earlier work this paper cites.
A. J. Scott, Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
2003
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological entanglement entropy
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.

Similar

P. Hayden and J. Preskill, Black holes as mirrors: Quantum information in random subsystems
Original
2007
Cited alongside, same era.
H. Casini and M. Huerta, Remarks on the entanglement entropy for disconnected regions
Original
2009
Cited alongside, same era.
P. Hayden, M. Headrick, and A. Maloney, Holographic Mutual Information is Monogamous
Original
2013
Cited alongside, same era.
J. Maldacena and L. Susskind, Cool horizons for entangled black holes
Original
2013
Cited alongside, same era.
N. Lashkari, D. Stanford, M. Hastings, T. Osborne, and P. Hayden, Towards the Fast Scrambling Conjecture
Original

Then

H. Gharibyan and R. F. Penna, Are entangled particles connected by wormholes? Evidence for the ER=EPR conjecture from entropy inequalities
Original
2014
Later among the works it cites.
F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
Original
2015
Closest in time.
A. Almheiri, X. Dong, and D. Harlow, Bulk Locality and Quantum Error Correction in AdS/CFT
Original
2015
Closest in time.
M. Rangamani and M. Rota, Entanglement structures in qubit systems
Original
2015
Closest in time.
Y. Sekino and L. Susskind, Fast Scramblers
Original

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

A. Pakman and A. Parnachev, Topological entanglement entropy and holography

Cited in the paper.

A. Higuchi and A. Sudbery, How entangled can two couples get?

Cited in the paper.

P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, Chaos in quantum channels

Cited in the paper.

J. Maldacena, S. H. Shenker, and D. Stanford, A bound on chaos

Cited in the paper.

P. Facchi, G. Florio, G. Parisi, and S. Pascazio, Maximally multipartite entangled states

Cited in the paper.

Z. Yang, P. Hayden, and X.-L. Qi, Bidirectional holographic codes and sub-AdS locality

Cited in the paper.

A. Borras, A. Plastino, J. Batle, C. Zander, M. Casas, and A. Plastino, Multi-qubit systems: Highly entangled states and entanglement distribution

Original

Cited in the paper.

2096

Closest in time.