EPR pairs, local projections and quantum teleportation in holography

Numasawa, Tokiro; Shiba, Noburo; Takayanagi, Tadashi; Watanabe, Kento

doi:10.1007/jhep08(2016)077

Cited by 45 publications

(66 citation statements)

References 59 publications

(172 reference statements)

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“…In this second part of the lecture I will show you how complex quantum information can be teleported through an ERB [8]. Similar ideas appeared in a very interesting recent paper by Numasawa, Shiba, Takayanagi and Watanabe [14] as well as in earlier work by Marolf and Wall [15]. 7 To be published.…”

Section: Teleportation Through the Wormhole: Erbs As A Resourcementioning

confidence: 69%

Copenhagen vs Everett, Teleportation, and ER=EPR

Susskind

2016

Fortschr. Phys.

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Section: Teleportation Through the Wormhole: Erbs As A Resourcementioning

confidence: 69%

Copenhagen vs Everett, Teleportation, and ER=EPR

Susskind

2016

Fortschr. Phys.

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“…This would not be described by a physical motion through the wormhole in the bulk. Teleportation in this sense has been discussed in the dual gravity language by [37,40,49].…”

Section: Jhep12(2017)151mentioning

confidence: 99%

Traversable wormholes via a double trace deformation

Gao

Jafferis

Wall

2017

J. High Energ. Phys.

454

797

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After turning on an interaction that couples the two boundaries of an eternal BTZ black hole, we find a quantum matter stress tensor with negative average null energy, whose gravitational backreaction renders the Einstein-Rosen bridge traversable. Such a traversable wormhole has an interesting interpretation in the context of ER=EPR, which we suggest might be related to quantum teleportation. However, it cannot be used to violate causality. We also discuss the implications for the energy and holographic entropy in the dual CFT description.

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“…In addition we will provide the gravity dual geometry for (ii) splitting local quenches. Refer to [14] for other classes of topology changing quantum operations in CFTs such as projections and partial identifications. Our details geometric analysis clearly will explain the two different sources of logarithmic time evolutions of entanglement entropy observed in the local quenches.…”

Section: Introductionmentioning

confidence: 99%

Holographic quantum circuits from splitting/joining local quenches

Shimaji

Takayanagi

Wei

2019

J. High Energ. Phys.

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We study three different types of local quenches (local operator, splitting and joining) in both the free fermion and holographic CFTs in two dimensions. We show that the computation of a quantity called entanglement density, provides a systematic method to capture essential properties of local quenches. This allows us to clearly understand the differences between the free and holographic CFTs as well as the distinctions between three local quenches. We also analyze holographic geometries of splitting/joining local quenches using the AdS/BCFT prescription. We show that they are essentially described by time evolutions of boundary surfaces in the bulk AdS. We find that the logarithmic time evolution of entanglement entropy arises from the region behind the Poincaré horizon as well as the evolutions of boundary surfaces. In the CFT side, our analysis of entanglement density suggests such a logarithmic growth is due to initial non-local quantum entanglement just after the quench. Finally, by combining our results, we propose a new class of gravity duals, which are analogous to quantum circuits or tensor networks such as MERA, based on the AdS/BCFT construction.

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EPR pairs, local projections and quantum teleportation in holography

Cited by 45 publications

References 59 publications

Copenhagen vs Everett, Teleportation, and ER=EPR

Copenhagen vs Everett, Teleportation, and ER=EPR

Traversable wormholes via a double trace deformation

Holographic quantum circuits from splitting/joining local quenches

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